Name: ________________________ Class: ___________________ Date: __________
OCCT Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1.
Rational numbers are any number that can be written as a fraction.
a.
____
2.
True
b.
False
Approximate the value of the rational number on the number line.
49
a.
b.
c.
____
3.
b.
4.
b.
c.
5.
D
E
ÏÔÔ
¸ÔÔ
ÌÔ π , 9,13 ˝Ô
Ó
˛
ÏÔ
¸
1 ÔÔ
Ô
ÌÔ − 2, 25, ˝Ô
2 Ô˛
ÔÓ
c.
d.
ÏÔÔ
ÌÔ − 144,
Ó
ÏÔÔ
ÌÔ − 121 ,
Ó
Which number is rational?
a.
____
d.
e.
Which of these sets contains no irrational numbers.
a.
____
A
B
C
2
3
12
d.
e.
15
25
Repeating decimals are Rational Numbers.
a.
True
b.
1
False
¸Ô
36,8.2 Ô˝Ô
˛
¸ÔÔ
3,7.8 ˝Ô
˛
ID: A
Name: ________________________
ID: A
Use the Distributive Property to write each expression as an equivalent algebraic expression.
____
____
6. −2(− 4 + c)
a. 8 − 2c
b. −6 − 2c
c.
d.
8+c
−2(−4c)
7. (−z + 6)(−9)
a. −9(−6z)
b. 9z − 54
c.
d.
9z − 3
−z − 54
8. −3 − 9a − 4 − 5a
a. −14a − 7
b. −14a + 1
c.
d.
−4a + 1
−4a − 7
9. a + 2(−8 + a)
a. 3a − 16
b. −a − 6
c.
d.
3a − 6
−a
Simplify each expression.
____
____
Translate the verbal sentence into an equation and solve.
____ 10. Forty-two is the product of 6 and a number.
a. 42 = 6x; x = 7
b. 42 = 6 + x; x = 36
c.
d.
42 ⋅ 6 = x; x = 252
42 = 6x; x = 252
____ 11. The quotient of 10 and a number is 2.
a. 10 ÷ a = 2; a = 20
b. a ÷ 2 = 10; a = 20
c.
d.
10 ÷ a = 2; a = 5
10 – a = 2; a = 8
____ 12. Seven is the quotient of 28 and a number.
a. 7 × 28 = z; z = 196
b. 7 = 28 ÷ z; z = 4
c.
d.
7 = 28 – z; z = 21
7 = 28 ÷ z; z = 196
c.
d.
c=4
c = 10
x
− 3 = −16
11
16
a. x = − 11
c.
x = –209
b.
d.
x = − 11
Solve each equation.
____ 13. −42 = −18 − 6c
a. c = –24
b. c = 144
____ 14.
x = –143
2
13
Name: ________________________
ID: A
Translate each sentence into an equation. Then find each number.
____ 15. Two less than the product of a number and –5 is –42.
x
− 2 = −42; x = 200
c. −5x − 2 = −42; x = 8
a.
−5
b.
x − 2 = −42; x = −40
d.
−5x + 2 = −42; x =
c.
d.
–18
18
c.
d.
p>4
p≥4
c.
d.
r≥7
r ≤ 21
Solve the equation.
____ 16. 15z − 7 = 14z + 12
a. 19
b. –19
Write the inequality for the graph.
____ 17.
a.
b.
p≤4
p<4
Solve the inequality.
____ 18. r − 7 ≥ 14
a. r ≥ −21
b. r ≥ 21
Solve the inequality. Graph the solution on a number line.
____ 19.
v
2
≤5
a.
v≤7
c.
v ≥ 10
b.
v ≤ 10
d.
v ≤ 10
3
44
5
Name: ________________________
____ 20. 4 >
j
−3
ID: A
−8
a.
−36 < j
c.
−36 > j
b.
−4 > j
d.
−4 < j
____ 21. 6(x + 8) = 5(x − 4)
a. 28
b. –12
c.
d.
–69
–68
____ 22. 2(n + 4) = 8 − 6(n − 4)
a. 0
b. 16
c.
d.
3
–3
Solve the equation.
____ 23. Which number line shows the graph of the set of numbers that makes the following inequality true?
3x − 5 < 4
a.
b.
c.
d.
____ 24.
Identify the slope & y-intercept of:
y = 1x−5
3
Hint: Make sure your equation is in slope-intercept form first.
a.
b.
c.
Slope: -5, y-intercept: 1/3
Slope: 1, y-intercept: -5
Slope: 1, y-intercept: 3
d.
e.
f.
4
Slope: 3, y-intercept: -5
Slope: 1/3, y-intercept: -5
Slope: 1/3, y-intercept: 5
Name: ________________________
____ 25.
Identify the slope & y-intercept of:
a.
b.
c.
____ 26.
ID: A
Slope: 3 y-intercept: 7
Slope: 2 y-intercept: 3
Slope: -2 y-intercept: 0
d.
e.
f.
Slope: -2 y-intercept: -1
Slope: 3 y-intercept: 2
Slope: -2 y-intercept: 7
Write the equation in slope-intercept Form. 1.5
a. y = 3x + 5
d. y = 3x + 1.5
b. y = 1.5x + 3
e. 1.5 = y + 3x
c. y = 4.5x
f. y = -3x
5
= y − 3x
Name: ________________________
ID: A
____ 27.
Write the equation of the given line.
a.
b.
c.
y = 4x + 1
y = 3x + 2
y = 2x + 2
d.
e.
f.
6
y = 2x + 0
y=2
y = -2x + 0
Name: ________________________
ID: A
____ 28.
Write the equation of the given line.
a.
b.
c.
y=x+1
y = -2x + 2
y = 2x + 2
d.
e.
f.
7
y = 2x + 0
x=2
y=2
Name: ________________________
ID: A
____ 29.
Write the equation of the given line.
a.
b.
c.
y = 0.5x - 10
y = 5x - 10
y = 2x + 20
f.
y = 1/2x + 10
x = 20x + 0
y = 5x + 15
c.
d.
–117
–119
d.
e.
Find the function value.
____ 30. f(x) = 7x + 2, f(–17)
a. –123
b. –118
8
Name: ________________________
ID: A
____ 31. Which graph best represents the equation created when the slope of y = 4x + 1 is changed to 1?
a.
c.
b.
d.
____ 32. The graph below represents the equation created when the slope of the equation y = −3x + 1 is changed.
What was the slope changed to?
a.
−2
c.
1
2
b.
−2
1
d.
2
____ 33. The graph below best represents which equation?
1
a.
y = 3 x+2
b.
y = −3 x − 2
1
1
c.
y = 3 x−2
d.
y = −3 x + 2
9
1
Name: ________________________
____ 34.
ID: A
Find the slope of a line that passes through the given points.
(5,-6) (4,2)
a.
b.
____ 35.
c.
d.
-5/4
1/8
Write an equation in slope-intercept form for the line.
a.
b.
____ 36.
-4
-8
y = 7/2 x
y=7x+2
c.
d.
7y = 2 x
y=2x+7
Which order pair is a solution for the linear equation?
y = 5x -1
a.
b.
____ 37.
(2, 6)
(3, 1)
c.
d.
(0, -1)
(-1, 0)
Which order pair is a solution for the linear equation?
y = 4x + 5
a.
b.
(5,0)
(0,5)
c.
d.
10
(1,8)
(2,12)
Name: ________________________
____ 38.
ID: A
What is the slope (aka Constant Rate of Change)?
x = Miles
y = Elapsed Time (min)
a.
b.
5
2/3
c.
d.
11
6
3/4
Name: ________________________
____ 39.
ID: A
What is the equation of a line for these points?
x = Miles
y = Elapsed Time (min)
a.
b.
____ 40.
3
x
4
y = 5x
y=
c.
d.
2
x
3
y = 6x
y=
Use the table below and plot the coordinates on the graph.
Find the unit rate of money in dollars per week.
a.
b.
c.
$10 per 2 weeks
$10 per week
$10 per hour
d.
e.
12
5 weeks per dollar
$5 per week
Name: ________________________
ID: A
____ 41.
Write the equation of the line in slope-intercept form.
a.
b.
____ 42.
y = -1/2x + 3
y = 3x - 4
c.
d.
y = 4/3 x + 0
y=2x+3
Write an equation of a line with the given slope and y-intercept.
m = 3, y-intercept = 5
a.
b.
y = 1 x+5
3
y = 3x + 5
d.
y = 5x + 3
y = 3x − 5
c.
d.
37
36
c.
Consider the following set of data:
35, 46, 36, 37, 33, 49, 44, 36, 42
____ 43. What is the median of this data?
a. 33
b. 39.8
____ 44. Winona’s bowling scores for the past nine weeks are 195, 180, 195, 212, 208, 231, 179, 246, and 195. Find
the mean, median, and mode. Round to the nearest tenth, if necessary.
a. 204, 195, 195
c. 204.6, 208, 195
b. 204.6, 195, 195
d. 205, 195, no mode
13
Name: ________________________
ID: A
A spinner like the one shown is used in a game. Determine the probability of the outcome if the spinner is
equally likely to land on each section. Express the probability as a fraction and as a percent.
____ 45. P(7)
1
1
a. 8 ; 12 2 %
c.
7
8
; 14 7 %
d.
1; 100%
____ 46. P(odd)
4
1
a. 7 ; 57 7 %
c.
0; 0%
d.
1; 100%
c.
3
8
; 62 2 %
d.
1; 100%
____ 48. P(less than 3)
2
4
a. 7 ; 28 7 %
c.
1; 100%
d.
1
4
b.
b.
1
7
1
2
2
; 50%
____ 47. P(greater than 5)
3
a. 5 ; 60%
b.
b.
5
8
3
4
1
; 75%
1
; 87 2 %
1
; 37 2 %
; 25%
____ 49. Look at the following set of data.
18, 35, 36, 19, 10
What number affects the mean least if it is added to the data set?
a. 2
c. 18
b. 10
d. 36
____ 50.
Solve for x. x 2 = 16
169
a.
b.
c.
13
3
13
13
4
d.
4
e.
4 and - 4
13
13
14
Name: ________________________
ID: A
____ 51. One mil is equal to 0.0254 millimeters. Which shows 0.0254 in scientific notation?
c. 2.54 × 10 −1
a. 2.54 × 10 3
b. 2.54 × 10 2
d. 2.54 × 10 −2
____ 52. What is the simplest form of the following expression?
4n 8 ⋅ 5n 2
a. 20n 10
c. 9n 10
b. 20n 16
d. 9n 16
____ 53. What is the simplest form of the following expression?
m
12
m
6
m2
m6
a.
b.
c.
d.
m−2
m−6
____ 54. What is the simplest form of the following expression?
5z 3 ⋅ 4z 6
a. 9z 9
c. 20z 9
b. 9z 18
d. 20z 18
____ 55. Saturn is approximately 8.404 × 10 8 miles from the sun. Which shows 8.404 × 10 8 in standard notation?
a. 84,040,000
c. 8,404,000,000
b. 840,400,000
d. 84,040,000,000
____ 56. The fractions below represent the sizes, in inches, of some pieces of ribbon in Rachel’s sewing box.
3 1 7 1 5
, , , ,
4 2 8 3 16
Which shows the fractions in order from least to greatest?
5
1 1 3 7
5
1 1 7 3
a. 16 , 3 , 2 , 4 , 8
c. 16 , 3 , 2 , 8 , 4
1
3
b.
5
1
3
7
, 16 , 2 , 4 , 8
d.
1
3
5
1
7
3
, 16 , 2 , 8 , 4
____ 57. The integers below represent the temperatures, in degrees Fahrenheit, that Raphael recorded during the last
five days.
15,−5,6,−7,−3
Which shows the temperatures in order from greatest to least?
a. 15,−7,6,−5,−3
c. −7,−5,−3,6,15
b. 15,6,−3,−5,−7
d. −3,−5,6,−7,15
____ 58. What is the simplest form of the following expression?
3m 2
6m
a.
b.
5
2m3
1
2m
3
c.
d.
15
m7
2
1
2m
7
Name: ________________________
ID: A
____ 59. What is the simplest form of the following expression?
−5z 4 ⋅ 2z 6
a. −10z 24
c. −10z 10
b. 3z 24
d. 3z 10
____ 60. Look at the number pattern below.
2 −6 =
1
64
2 −5 =
1
32
2 −4 =
1
16
2 −3 =
1
8
2 −2 =?
Find the missing number in the pattern.
a. −4
b.
1
4
c.
1
2
d.
4
____ 61. One nanometer is equal to 0.00000003937 inch. Which shows 0.00000003937 in scientific notation?
a. 3.937 × 10 −7
c. 3.937 × 10 −9
b. 3.937 × 10 −8
d. 3.937 × 10 −10
____ 62. Find the length of the hypotenuse. Round to the nearest tenth.
a.
b.
c.
12.3 units
3.9 units
15 units
d.
e.
16
10.6 units
9 units
Name: ________________________
ID: A
____ 63. Find the length of the unknown side. Round your answer to the nearest tenth.
a.
b.
c.
32 ft.
15 ft.
5 ft.
d.
e.
225 ft.
22 ft.
____ 64. Determine if the given side lengths could form a right triangle.
7, 11, 16
a.
Yes
b.
17
No
Name: ________________________
ID: A
____ 65. Find the distance from City A to City B to the nearest mile. Diagram is not drawn to scale.
a.
b.
c.
11 miles
12 miles
15 miles
d.
e.
38 miles
13 miles
____ 66. Which of the following could NOT be the lengths of the sides of a right triangle?
a.
b.
c.
9 ft., 12 ft., 15 ft
5 in., 10 in., 15 in.
4 cm, 7.5 cm, 8.5 cm
d.
e.
18
1.5 m, 2 m, 2.5 m
8 yd., 10 yd., 6 yd.
Name: ________________________
ID: A
____ 67.
The measure of side c is 105 feet and the measue of side a is 80 feet.What is
the length of side b?
a.
4,625 ft
b.
132 ft
c.
68 ft
d.
2,312.5 ft
____ 68.
A 50 meter rope is attached inside an empty cylinderical corn silo that has a
diamter of 12 meters. How high is the corn silo?
a.
b.
45.5 m
46.5 m
c.
d.
19
47.5 m
48.5 m
Name: ________________________
____ 69.
What feature do all right triangles have in common?
a.
b.
____ 70.
ID: A
Two Equal Sides and Two
Equal Angles
Two legs and a Hypotenuse
c.
Two 90 degree angles
d.
Three sides Equal in Length
Where can you find the hypotenuse of a right triangle?
a.
b.
Opposite the acute angle
Opposite the longer leg
c.
d.
Opposite the shorter leg
Opposite the right angle
____ 71.
Draw a right triangle and use the pythagorean theorem to find length of line
segment d to the nearest tenth.
a.
b.
c.
4.8
5
5.2
d.
e.
20
5.4
6
Name: ________________________
ID: A
____ 72.
Use the pythagorean theorem to find distance between the two points.
a.
b.
c.
____ 73.
5.8
6.7
5.2
d.
e.
7.4
6.4
Which formula is used to find the volume of a cylinder?
a.
b.
c.
V = lwh
V = π r2 h
d.
e.
V = 1 π r2 h
3
21
V = π r2
V = 1 Bh
3
Name: ________________________
____ 74.
____ 75.
ID: A
Find the volume of the cylinder to the nearest tenth.
a.
485.2 mm 3
d.
471.2 mm 3
b.
251.2 mm 3
e.
1885 mm 3
c.
384.4 mm 3
Find the volume of the cylinder in terms of pi.
a.
b.
c.
700π inches cubed
2512π inches cubed
800π inches cubed
d.
e.
22
100π inches cubed
8000π inches cubed
Name: ________________________
ID: A
____ 76. Find the lateral area of the prism. Use the 10 by 6 rectangle as the base.
a.
b.
160 ft 2
300 ft 2
c.
d.
280 ft 2
220 ft 2
Find the surface area of the solid shown or described. If necessary, round to the nearest tenth.
____ 77. rectangular prism: length 11 m, width 8 m, height 3 m
c. 33 m2
a. 264 m2
b. 290 m3
d. 290 m2
____ 78. Find the lateral area of the cylinder. Round to the nearest tenth, if necessary. (Use π = 3.14)
a.
b.
954.6 ft 2
3818.2 ft 2
c.
d.
23
1356.5 ft 2
477.3 ft 2
Name: ________________________
ID: A
Find the surface area of the solid shown or described. If necessary, round to the nearest tenth.
____ 79.
201.1 ft 2
251.3 ft 3
c.
d.
100.5 ft 2
251.3 ft 2
____ 80. Evaluate the expression below.
4 − || |14| − 11 ||
a. 1
b. 7
c.
d.
29
−21
____ 81. Evaluate the expression if x = –1 and y = 19.
|x | − || y ||
a. 18
b. −18
c.
d.
20
−20
____ 82. Evaluate x 3 − y 0 if x = 2 and y = 7.
a. 7
b. 5
c.
d.
1
8
a.
b.
Find the product or quotient. Express using exponents.
____ 83.
y9
y4
a.
b.
y 36
y5
c.
d.
24
y 13
1
Name: ________________________
ID: A
Write the fraction as an expression using a negative exponent other than –1.
____ 84.
1
7
2
a.
0.7 −2
c.
b.
−7 −2
d.
−2
ÁÊÁ 1 ˆ˜˜
ÁË 7 ˜¯
7 −2
c.
d.
3 35
3 40
c.
d.
125b 9
5b 9
c.
d.
0.1836x10 −2
3.971x10 6
c.
d.
5.52x10 7
5.52x10 −7
1.2x10 3
5.91x10 4
a. 2.03x10 2
b. 2.03x10 −1
c.
d.
.203x10 4
2.03x10 −2
6x10 −5
5.78x10 5
a. 3.468x10 2
b. 1.083x10 1
c.
d.
1.038x10 10
1.038x10 −10
Simplify.
____ 85. (3 6 ) 6
a.
b.
3 36
3 39
____ 86. (5b 6 ) 3
a.
b.
5b 18
125b 18
____ 87. (2.7x10 2 )(6.8x10−5 )
a.
b.
1.836x10 2
1.836x10 −2
____ 88. (9.2x10 4 )(6x10 5 )
a. 5,52x10 10
b. 5.52x10 −10
____ 89.
____ 90.
____ 91. Write the slope-intercept form of the equation of each line.
3x - 11y = 24
−3 24
−4
24
a. y =
xc. y =
x−
11 11
11
11
3
24
24
4
b. y =
x−
d. y =
x−
11
11
11
11
25
Name: ________________________
ID: A
____ 92. Write the slope-intercept form of the equation of each line
x-y=6
a. y = -5x - 6
c. y = -6x - 5
b. y = -x - 6
d. y = x - 6
Short Answer
Find the volume.
93.
Heather made a prism by stacking 1 cm cubes. What is the volume of the prism?
94. A cardboard box has a volume of 157,500 cm 3 . Its base is 45 by 50 cm. What is its height?
95. The table below shows a company’s sales income for several years.
Year
1
2
3
4
5
6
Sales Income
(millions of dollars)
4
6
7
6
5
8
a. Write an equation for the line of fit for the data above.
b. Use it to estimate the turn over for year 8.
96. To find how many seconds it takes light to travel from the Sun to Earth, divide the total distance, 93,000,000
miles, by the distance light travels in one second, 186,000 miles. Write the result in scientific notation.
26
ID: A
OCCT Review
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
ANS: A
PTS: 1
ANS: E
PTS: 1
ANS: C
PTS: 1
ANS: E
PTS: 1
ANS: A
PTS: 1
ANS: A
Multiply the number outside the parentheses by the variable and number inside the parentheses.
Feedback
A
B
C
D
Correct!
Did you multiply each number inside the parentheses by the number outside the
parentheses?
Did you distribute the number outside the parentheses to each item inside the
parentheses?
Should you add or multiply inside the parentheses?
PTS: 1
DIF: Average
REF: Lesson 4-1
OBJ: 4-1.2 Use the Distributive Property to write equivalent algebraic expressions.
NAT: NA 1 | NA 6 | NA 9 | NA 2
STA: OK 2.1c | OK 4.2
TOP: Use the Distributive Property to write equivalent algebraic expressions.
KEY: Distributive Property | Equivalent Expressions
7. ANS: B
Multiply the number outside the parentheses by the variable and number inside the parentheses.
Feedback
A
B
C
D
Should you add or multiply inside the parentheses?
Correct!
Did you multiply each number inside the parentheses by the number outside the
parentheses?
Did you distribute the number outside the parentheses to each item inside the
parentheses?
PTS:
OBJ:
NAT:
TOP:
KEY:
1
DIF: Average
REF: Lesson 4-1
4-1.2 Use the Distributive Property to write equivalent algebraic expressions.
NA 1 | NA 6 | NA 9 | NA 2
STA: OK 2.1c | OK 4.2
Use the Distributive Property to write equivalent algebraic expressions.
Distributive Property | Equivalent Expressions
1
ID: A
8. ANS: A
Use the Commutative Property and the Distributive Property to combine like terms and simplify.
Feedback
A
B
C
D
Correct!
Did you correctly combine the integers?
Did you correctly combine the like terms?
Did you correctly combine the like terms with the variable?
PTS: 1
DIF: Basic
REF: Lesson 4-2
OBJ: 4-2.1 Use the Distributive Property to simplify algebraic expressions.
NAT: NA 1 | NA 6 | NA 9 | NA 2
STA: OK 2.1c | OK 4.2
TOP: Use the Distributive Property to simplify algebraic expressions.
KEY: Distributive Property | Simplify Expressions
9. ANS: A
Use the Commutative Property and the Distributive Property to combine like terms and simplify.
Feedback
A
B
C
D
Correct!
Did you correctly combine the like terms with the variable?
Did you correctly combine the integers?
Did you combine like terms correctly?
PTS: 1
DIF: Average
REF: Lesson 4-2
OBJ: 4-2.1 Use the Distributive Property to simplify algebraic expressions.
NAT: NA 1 | NA 6 | NA 9 | NA 2
STA: OK 2.1c | OK 4.2
TOP: Use the Distributive Property to simplify algebraic expressions.
KEY: Distributive Property | Simplify Expressions
10. ANS: A
Forty-two is the product of 6 and a number translates into 42 = 6x. Solving this equation gives x = 7.
Feedback
A
B
C
D
Correct!
Does product translate into addition?
Have you correctly translated the sentence?
Did you correctly solve the sentence?
PTS: 1
DIF: Average
REF: Lesson 4-3
OBJ: 4-3.4 Translate verbal sentences into equations.
TOP: Translate verbal sentences into equations.
2
NAT: NA 1 | NA 6 | NA 2
KEY: Verbal Sentences | Equations
ID: A
11. ANS: C
The quotient of 10 and a number is 2 translates into 10 ÷ a = 2. Solving this equation gives a = 5.
Feedback
A
B
C
D
Did you correctly solve the sentence?
Have you correctly translated the sentence?
Correct!
Does quotient translate into subtraction?
PTS: 1
DIF: Average
REF: Lesson 4-3
OBJ: 4-3.4 Translate verbal sentences into equations.
NAT: NA 1 | NA 6 | NA 2
TOP: Translate verbal sentences into equations.
KEY: Verbal Sentences | Equations
12. ANS: B
Seven is the quotient of 28 and a number translates into 7 = 28 ÷ z. Solving this equation gives z = 4.
Feedback
A
B
C
D
Have you correctly translated the sentence?
Correct!
Does quotient translate into subtraction or division?
Have you correctly solved the sentence?
PTS: 1
DIF: Average
REF: Lesson 4-3
OBJ: 4-3.4 Translate verbal sentences into equations.
NAT: NA 1 | NA 6 | NA 2
TOP: Translate verbal sentences into equations.
KEY: Verbal Sentences | Equations
13. ANS: C
Use addition or subtraction to get the variable and its coefficient alone, and then use division to get the
variable by itself and solve the equation.
Feedback
A
B
C
D
Did you finish solving for the variable?
Should you multiply or divide to finish solving this equation?
Correct!
Did you use the wrong operation to solve this equation?
PTS: 1
DIF: Average
REF: Lesson 4-5
NAT: NA 2 | NA 9 | NA 6
STA: OK 2.1c
KEY: Solve Equations | Two-Step Equations
3
OBJ: 4-5.1 Solve two-step equations.
TOP: Solve two-step equations.
ID: A
14. ANS: B
Use addition/subtraction to get the variable and its coefficient alone, and then use multiplication to get the
variable by itself and solve the equation.
Feedback
A
B
C
D
Did you forget undo the addition or subtraction?
Correct!
Did you use the wrong operation to solve this equation?
Should you divide to solve this equation?
PTS: 1
DIF: Average
REF: Lesson 4-5
OBJ: 4-5.1 Solve two-step equations.
NAT: NA 2 | NA 9 | NA 6
STA: OK 2.1c
TOP: Solve two-step equations.
KEY: Solve Equations | Two-Step Equations
15. ANS: C
Two less than the product of a number and –5 is –42 translates into −5x − 2 = −42. Then add 2 to each side
and divide by –5.
Feedback
A
B
C
D
Does product translate into division or multiplication?
Did you include the product in the equation?
Correct!
Was it two less than or two more than the product?
PTS: 1
DIF: Average
REF: Lesson 4-6
OBJ: 4-6.1 Write verbal sentences as two-step equations.
NAT: NA 2 | NA 9 | NA 6
TOP: Write verbal sentences as two-step equations.
KEY: Solve Equations | Write Equations | Two-Step Equations
16. ANS: A
Write an equivalent equation with the variables on one side. Then solve the equation.
Feedback
A
B
C
D
Correct!
Be careful with your signs.
Combine the two variables and the two constants and then use division to solve.
Combine the two variables and the two constants and then use division to solve.
PTS: 1
DIF: Average
REF: Lesson 5-2
OBJ: 5-2.1 Solve equations with variables on each side.
TOP: Solve equations with variables on each side.
4
NAT: NA 2 | NA 6
KEY: Solve Equations | Variables
ID: A
17. ANS: A
Arrow Points Left
Arrow Points Right
Open Circle
<
>
Closed Circle
≤
≥
Feedback
A
B
C
D
Correct!
The endpoint is a closed circle.
The arrow points left and the endpoint is a closed circle.
The arrow points left.
PTS: 1
DIF: Basic
REF: Lesson 5-3
OBJ: 5-3.1 Write inequalities.
NAT: NA 1 | NA 8 | NA 2
STA: OK 4.3a
TOP: Write inequalities.
KEY: Inequalities | Write Inequalities
18. ANS: B
Add the constant on the left to both sides of the inequality to solve.
Feedback
A
B
C
D
Watch your signs when adding.
Correct!
Use addition to solve.
There is no need to reverse the inequality sign here.
PTS: 1
DIF: Average
REF: Lesson 5-4
OBJ: 5-4.1 Solve equations by using the Addition Properties of Inequality.
NAT: NA 1 | NA 6 | NA 8 | NA 2
STA: OK 4.3a
TOP: Solve inequalities by using the Addition Property of Inequality.
KEY: Solve Inequalities | Addition Property
19. ANS: D
Multiply both sides of the inequality by the number in the denominator to solve.
Feedback
A
B
C
D
Use multiplication to solve.
Is the endpoint included in the solution?
There is no need to reverse the inequality sign here. Is the endpoint included in the
solution?
Correct!
PTS:
OBJ:
NAT:
TOP:
1
DIF: Average
REF: Lesson 5-4
5-4.3 Solve inequalities by multiplying by a positive number.
NA 1 | NA 6 | NA 2
STA: OK 4.3a
Solve inequalities by multiplying by a positive number.
KEY: Solve Inequalities | Multiplication
5
ID: A
20. ANS: A
First add the constant on the right to both sides. Then, multiply both sides of the inequality by the number in
the denominator to solve. Remember to reverse the inequality sign when multiplying by a negative number.
Feedback
A
B
C
D
Correct!
Do the addition before the multiplication.
Remember to reverse the inequality sign when multiplying by a negative number.
Do the addition before the multiplication.
PTS: 1
DIF: Average
REF: Lesson 5-5
OBJ: 5-5.1 Solve inequalities that involve more than one operation.
NAT: NA 1 | NA 6 | NA 9 | NA 2
STA: OK 4.3a
TOP: Solve inequalities that involve more than one operation. KEY: Solve Inequalities
21. ANS: D
Use the Distributive Property to evaluate the expressions involving parentheses. Group the variables on one
side of the equation and solve.
Feedback
A
B
C
D
If a number is being added on one side of an equation, subtract it from both sides.
Multiply each term within the parentheses by the number outside the parentheses.
Use division on the final step.
Correct!
PTS: 1
DIF: Average
REF: Lesson 5-5
OBJ: 5-5.2 Solve equations that involve grouping symbols.
NAT: NA 2 | NA 6 | NA 3
TOP: Solve equations that involve grouping symbols.
KEY: Solve Equations | Grouping Symbols
22. ANS: C
Use the Distributive Property to evaluate the expressions involving parentheses. Group the variables on one
side of the equation and solve.
Feedback
A
B
C
D
23.
24.
25.
26.
27.
Multiply each term within the parentheses by the number outside the parentheses.
Use division on the final step.
Correct!
Remember that a negative number times a negative number is a positive number.
PTS:
OBJ:
TOP:
KEY:
ANS:
ANS:
ANS:
ANS:
ANS:
1
DIF: Average
REF: Lesson 5-5
5-5.2 Solve equations that involve grouping symbols.
Solve equations that involve grouping symbols.
Solve Equations | Grouping Symbols
B
PTS: 1
STA: 1.2.b
E
PTS: 1
B
PTS: 1
D
PTS: 1
D
PTS: 1
6
NAT: NA 2 | NA 6 | NA 3
ID: A
28. ANS: F
PTS: 1
29. ANS: D
PTS: 1
30. ANS: C
PTS: 1
DIF: Basic
REF: Lesson 8-1
OBJ: 8-1.1 Write a function using function notation.
NAT: NA 2
TOP: Functions
KEY: independent variable | dependent variable | function notation
31. ANS: C
PTS: 1
STA: 1.1.c
32. ANS: B
PTS: 1
STA: 1.1.c
33. ANS: C
PTS: 1
STA: 1.1.b
34. ANS: B
PTS: 1
35. ANS: A
PTS: 1
36. ANS: C
PTS: 1
37. ANS: B
PTS: 1
38. ANS: A
PTS: 1
39. ANS: B
PTS: 1
40. ANS: E
PTS: 1
41. ANS: A
PTS: 1
42. ANS: B
PTS: 1
43. ANS: C
The median is the middle number of the ordered data, or the mean of the middle two numbers.
Feedback
A
B
C
D
Remember to put the items in order before finding the median.
This is the mean.
Correct!
This is the mode.
PTS: 1
DIF: Basic
REF: Lesson 13-1
OBJ: 13-1.2 Use the median as a measure of central tendency.
TOP: Use the median as a measure of central tendency.
KEY: Median | Measure of Central Tendency
44. ANS: B
Mean: The sum of the scores divided by 9.
Median: The middle score of the ordered scores.
Mode: The score which occurs most often.
NAT: NA 1 | NA 5 | NA 6 | NA 4
Feedback
A
B
C
D
Round the mean to the nearest tenth.
Correct!
Remember to put the scores in order before naming the median.
The mode is the item whcih occurs most often.
PTS:
OBJ:
NAT:
TOP:
KEY:
1
DIF: Average
REF: Lesson 13-1
13-1.3 Choose an appropriate measure of central tendency and recognize measures of statistics.
NA 1 | NA 5 | NA 6 | NA 4
Choose an appropriate measure of central tendency and recognize measures of statistics.
Mean | Median | Mode | Analyze Data
7
ID: A
45. ANS: A
The probability of an event is a ratio that compares the number of favorable outcomes to the number of
possible outcomes.
Feedback
A
B
C
D
Correct!
What is the number of possible outcomes?
What is the number of favorable outcomes?
Is the outcome a certainty?
PTS: 1
DIF: Basic
REF: Lesson 13-6
OBJ: 13-6.1 Find the probability of simple events.
NAT: NA 5 | NA 9 | NA 10 | NA 6
STA: OK 2.2a | OK 2.2b
TOP: Find the probability of simple events.
KEY: Probability | Simple Events
46. ANS: B
The probability of an event is a ratio that compares the number of favorable outcomes to the number of
possible outcomes.
Feedback
A
B
C
D
What is the number of possible outcomes?
Correct!
Is there no possibility of spinning an odd number?
Is the outcome a certainty?
PTS: 1
DIF: Basic
REF: Lesson 13-6
OBJ: 13-6.1 Find the probability of simple events.
NAT: NA 5 | NA 9 | NA 10 | NA 6
STA: OK 2.2a | OK 2.2b
TOP: Find the probability of simple events.
KEY: Probability | Simple Events
47. ANS: C
The probability of an event is a ratio that compares the number of favorable outcomes to the number of
possible outcomes.
Feedback
A
B
C
D
What is the number of possible outcomes?
What is the number of favorable outcomes?
Correct!
Is the outcome a certainty?
PTS:
OBJ:
STA:
KEY:
1
DIF: Basic
REF: Lesson 13-6
13-6.1 Find the probability of simple events.
NAT: NA 5 | NA 9 | NA 10 | NA 6
OK 2.2a | OK 2.2b
TOP: Find the probability of simple events.
Probability | Simple Events
8
ID: A
48. ANS: D
The probability of an event is a ratio that compares the number of favorable outcomes to the number of
possible outcomes.
Feedback
A
B
C
D
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
What is the number of possible outcomes?
What is the number of favorable outcomes?
Is the outcome a certainty?
Correct!
PTS: 1
DIF: Basic
REF: Lesson 13-6
OBJ: 13-6.1 Find the probability of simple events.
NAT: NA 5 | NA 9 | NA 10 | NA 6
STA: OK 2.2a | OK 2.2b
TOP: Find the probability of simple events.
KEY: Probability | Simple Events
ANS: C
PTS: 1
STA: 5.2.b
ANS: E
PTS: 1
ANS: D
PTS: 1
STA: 2.2.b
ANS: A
PTS: 1
STA: 2.2.a
ANS: B
PTS: 1
STA: 2.2.a
ANS: C
PTS: 1
STA: 2.2.a
ANS: B
PTS: 1
STA: 2.2.b
ANS: A
PTS: 1
STA: 2.1.a
ANS: B
PTS: 1
STA: 2.1.a
ANS: B
PTS: 1
STA: 2.2.a
ANS: C
PTS: 1
STA: 2.2.a
ANS: B
PTS: 1
STA: 2.2.a
ANS: B
PTS: 1
STA: 2.2.b
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
ANS: E
PTS: 1
ANS: B
PTS: 1
ANS: C
PTS: 1
DIF: L2
REF: 11-2 The Pythagorean Theorem
OBJ: 11-2.1 Solving Problems Using the Pythagorean Theorem
NAT: NAEP N3g | NAEP G3d | NAEP G3f | CAT5.LV19.55 | IT.LV15.CP | S9.TSK1.NS | S9.TSK1.GM |
S10.TSK1.NS | S10.TSK1.GM | TV.LV19.11 | TV.LV19.14 | TV.LVALG.53 | TV.LVALG.58
STA: OK C.1.2a | OK P.4.4
TOP: 11-2 Example 2
KEY: Pythagorean Theorem | right triangle | problem solving | word problem
MSC: NAEP N3g | NAEP G3d | NAEP G3f | CAT5.LV19.55 | IT.LV15.CP | S9.TSK1.NS | S9.TSK1.GM |
S10.TSK1.NS | S10.TSK1.GM | TV.LV19.11 | TV.LV19.14 | TV.LVALG.53 | TV.LVALG.58
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: D
PTS: 1
ANS: D
PTS: 1
ANS: B
PTS: 1
ANS: B
PTS: 1
9
ID: A
74. ANS: D
75. ANS: C
76. ANS: A
PTS: 1
PTS: 1
The lateral area L of a prism is the perimeter of the base P times the height h.
L = Ph where P = 2l + 2w
Feedback
A
B
C
D
Correct!
You have calculated the volume.
You have calculated the surface area.
What is the perimeter of the base?
PTS: 1
REF: Lesson 12-5 OBJ: 12-5.1 Find lateral areas of prisms.
NAT: NA 1 | NA 3 | NA 4 | NA 6 | NA 2 STA: OK 1.1a | OK 4.1 | OK 4.3a
77. ANS: D
The surface area S of a prism is the sum of the areas of the faces.
Feedback
A
B
C
D
Did you find the volume of the prism?
Do you measure surface area in cubic units?
What is the formula for the surface area of a prism?
Correct!
PTS:
NAT:
KEY:
78. ANS:
1
DIF: Basic
NA 1 | NA 3 | NA 4 | NA 6 | NA 2
Surface Area | Prisms
A
REF: Lesson 12-5
STA: OK 1.1a
OBJ: 12-5.2 Find surface areas of prisms.
TOP: Find surface areas of prisms.
The lateral area L of a cylinder with radius r and height h is the circumference of the base (2πr) times the
height h.
L = 2πrh
Feedback
A
B
C
D
Correct!
You have calculated the volume.
You have calculated the surface area.
Did you forget to multiply by 2?
PTS: 1
REF: Lesson 12-6
NAT: NA 1 | NA 3 | NA 4 | NA 6 | NA 2
OBJ: 12-6.1 Find lateral areas of cylinders.
STA: OK 1.1a | OK 4.3a
10
ID: A
79. ANS: D
The surface area S of a cylinder with height h and radius r is the area of the two bases plus the area of the
curved surface.
S = 2πr 2 + 2πrh
Feedback
A
B
C
D
Did you include both bases?
Is surface area measured in cubic units?
Did you include the lateral surface area?
Correct!
PTS: 1
DIF: Basic
REF: Lesson 12-6
OBJ: 12-6.2 Find surface areas of cylinders.
NAT: NA 3 | NA 4
STA: OK 4.1 | OK 4.3a
TOP: Find surface areas of cylinders.
KEY: Surface Area | Cylinders
80. ANS: A
Take the absolute value of the inside bars first, then do the math inside the outer absolute value bars. Next
take the absolute value of that calculation, and finally subtract that answer from the first number.
Feedback
A
B
C
D
Correct!
Do absolute value bars affect a minus sign that is outside of the bars?
Did you consider the absolute value bars inside of absolute value bars?
Should you do the math inside the absolute value bars before or after to take the
absolute value?
PTS: 1
DIF: Average
REF: Lesson 2-1
OBJ: 2-1.2 Find the absolute value of an expression.
NAT: NA 1 | NA 6 | NA 10 | NA 2
STA: OK 5.2a
TOP: Find the absolute value of an expression.
KEY: Absolute Value | Expressions
81. ANS: B
Substitute the given values for the variables. Take the absolute values and complete the computation.
Feedback
A
B
C
D
Should this answer be positive or negative?
Correct!
Did you do the second absolute value incorrectly?
Did you do the first absolute value incorrectly?
PTS:
OBJ:
STA:
KEY:
1
DIF: Average
REF: Lesson 2-1
2-1.2 Find the absolute value of an expression.
NAT: NA 1 | NA 6 | NA 10 | NA 2
OK 5.2a
TOP: Find the absolute value of an expression.
Absolute Value | Expressions
11
ID: A
82. ANS: A
Multiply the x value by itself three times and subtract 1. (Remember that any number to the zero power is
one.)
Feedback
A
B
C
D
Correct!
Remember that x3 means x · x · x.
Remember that y0 will always be 1.
Remember that y0 will always be 1.
PTS: 1
DIF: Average
REF: Lesson 9-1
OBJ: 9-1.2 Evaluate expressions containing exponents.
NAT: NA 1 | NA 6 | NA 8 | NA 9 | NA 2
STA: OK 1.1a
TOP: Evaluate expressions containing exponents.
KEY: Exponents | Evaluate Expressions
83. ANS: B
Divide powers with the same base by subtracting their exponents.
Feedback
A
B
C
D
Did you perform the correct operation on the exponents?
Correct!
Did you perform the correct operation on the exponents?
Keep the base the same and subtract the exponents.
PTS:
NAT:
TOP:
84. ANS:
1
DIF: Average
NA 1 | NA 3 | NA 6 | NA 7 | NA 2
Divide monomials.
D
The definition of a negative exponent is
REF: Lesson 9-3
OBJ: 9-3.2 Divide monomials.
STA: OK 1.2a | OK 1.2b
KEY: Monomials | Divide Monomials
1
= a −n .
an
Feedback
A
B
C
D
Do not write the base as a decimal.
Do not change the sign of the base.
Do not write the base as a fraction.
Correct!
PTS:
OBJ:
STA:
KEY:
85. ANS:
OBJ:
TOP:
86. ANS:
OBJ:
TOP:
87. ANS:
1
DIF: Basic
REF: Lesson 9-4
9-4.1 Write expressions using negative exponents.
NAT: NA 1 | NA 6 | NA 7 | NA 9 | NA 2
OK 1.2a | OK 1.2b
TOP: Write expressions using negative exponents.
Exponents | Negative Exponents | Write Expressions
A
PTS: 1
DIF: Basic
REF: Lesson 9-6
9-6.1 Find the power of a power.
NAT: NA 1
STA: OK 2.2a | OK 2.2b
Powers of monomials.
KEY: power
B
PTS: 1
DIF: Basic
REF: Lesson 9-6
9-6.1 Find the power of a power.
NAT: NA 1
STA: OK 2.2a | OK 2.2b
Powers of monomials.
KEY: power
B
PTS: 1
12
ID: A
88.
89.
90.
91.
92.
ANS:
ANS:
ANS:
ANS:
ANS:
A
D
D
B
D
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
SHORT ANSWER
93. ANS:
60 cm 3
(3 × 5) × 4 = 60
PTS: 1
DIF: Average
REF: Lesson 12-2
NAT: NA 3 | NA 8 | NA 9 | NA 10 | NA 6
TOP: Volume of prisms.
KEY: volume
94. ANS:
70 cm
(45 × 50) × h = 157,500
OBJ: 12-2.2 Solve multi-step problems.
STA: OK 1.1b
PTS: 1
DIF: Average
REF: Lesson 12-2
NAT: NA 3 | NA 8 | NA 9 | NA 10 | NA 6
TOP: Volume of prisms.
KEY: volume
95. ANS:
a. y = 0.46x + 4.4
b. 8 million dollars
OBJ: 12-2.2 Solve multi-step problems.
STA: OK 1.1b
A line of fit is a line that is very close to most of the data points. Find the slope m of a line and the y-intercept
using the given data and then substitute the values in the equation y = mx + b to get the line of best fit.
Substitute the value of x equals 8 in the equation to get the answer.
PTS: 1
DIF: Advanced
NAT: NA 2 | NA 6 | NA 10 | NA 5
TOP: Solve multi-step problems.
96. ANS:
5 × 10 2 s
REF: Lesson 8-9
OBJ: 8-9.3 Solve multi-step problems.
STA: OK 5.2a | OK 5.2b
PTS: 1
13
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