Identify the choice that best completes the statement or answers the
question.
1. What is the sum?
(1 point)
–
2. Which property is illustrated by the statement?
(4 + 6.1) + 7 = 4 + (6.1 + 7) (1 point)
Associative Property of Addition
Inverse Property of Multiplication
Commutative Property of Addition
Inverse Property of Addition
3. To which subsets of the real numbers does the number
belong? (1 point)
rational numbers
irrational numbers
whole numbers, integers, rational numbers
whole numbers, natural numbers, integers
4. What is the algebraic expression for the following word phrase:
the product of 5 more than p and 7? (1 point)
5+p+7
7(p + 5)
7•p•5
5. What is the simplified form of the expression
121
11
6. Evaluate , for x =
and y =
(1 point)
? (1 point)
7. Simplify the expression
. (1 point)
8. What is the simplified form of the expression 3[14 ÷ (42 – 32) –
5]? (1 point)
–9
27
21
6
9. Is (5, 17) a solution of the equation y = 4x + 3? (1 point)
yes
no
10. Solve the equation.
3m – 4 = 26 (1 point)
m = 30
m=
m = 10
m = 17
11. Solve the equation.
–15 =
(1 point)
a = –3
a = –20
a = –10
a = –75
12. Solve the equation.
3x – 10 = 3(x – 4) + 2 (1 point)
x=8
x=0
x = infinitely many solutions
x = no solution
13. Amy and Mike are going to an amusement park. They each
bought ice cream, and Mike got a soda. Amy had a $10 coupon to
put toward the cost, and Mike paid the rest, which came to $30.25.
Admission for one person costs $18.00, and ice cream costs $1.50.
How much does a soda cost at the amusement park? (1 point)
$1.25
$1.50
$0.75
$2.10
14. Solve the equation.
7(2b – 5) + 3 = 10 (1 point)
b = 42
b=
b=
b=3
15. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and P =
{1, 2, 3, 4}. What is P'? (1 point)
{5, 6, 7, 8}
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 2, 3, 4}
cannot be determined
16. Solve.
8x – 5 ≥ 27 (1 point)
x≥4
x≥
x≤4
x≤
17. Your goal is to save at least $360.00 over the next 6 weeks.
How much money must you save each week in order to meet that
goal? Write and solve an inequality. (1 point)
6 + x ≥ 360; x ≥ 354
60x ≤ 360; x ≤ 10
≤ 360; x ≤ 2,160
6x ≥ 360; x ≥ 60
18. A student scored 78 and 95 on his first two quizzes. Use a
compound inequality to find the possible values for a third quiz
score that would give him an average between 80 and 90,
inclusive. (1 point)
67 ≤ x ≤ 97
78 ≤ x ≤ 95
80 ≤ x ≤ 90
86 ≤ x ≤ 87
19. Of 256 consumers polled, some like only thriller movies,
some prefer just comedies, and some like both. If 78 people like
only thrillers and 116 like both, how many people prefer only
comedies? (1 point)
62
38
140
194
20. Choose the correct solution graph for the inequality.
–3x > 24 (1 point)
21. Choose the correct solution graph for the inequality.
12x + 4 ≥ 16 or 3x – 5 ≤ –14 (1 point)
22. Solve.
(1 point)
x=–
x=
x=–
x=
and x =
and x = –
and x = –
and x =
23. A new book is published and the table shows the number of
people who showed up for a book signing in the first, second, third,
and fourth month of its release. Which graph could represent the
data shown in the table?
Mon
Number of
th
People
1
64
2
134
3
216
4
343
(1 point)
24. The table shows the relationship between two variables. Is the
relationship a linear function?
x
1
y
1
–
2 3
–
3 7
–
4 11
(1 point)
yes
no
25. The ordered pairs (1, 5), (2, 25), (3, 125), (4, 625), and (5,
3125) represent a function. What is a rule that represents this
function? (1 point)
y = x5
y = 5x
y = 5x
y=x+5
26. Suppose noodle soup is on sale for $0.75 a can and you have a
coupon for $0.50 off your total purchase. Write a function rule for
the cost of n cans of soup. (1 point)
C(n) = 0.75n – 0.5
C(n) = 0.5n – 0.75
C(n) = (0.75 + n) – 0.5
C(n) = (0.5 + n) – 0.75
Note: This item has been reviewed and is scheduled to be updated.
All students will receive full credit for any response to the
following.
27. Determine if the mapping diagram that represents a relation is
a function.
(1 point)
The relation is a function.
The relation is not a function.
28. Tell whether the sequence is arithmetic. If it is, what is the
common difference?
–12, –7, –2, 3, . . . (1 point)
yes; 5
yes; 8
yes; 3
no
29. What is the graph of the function rule?
y= |2 x | + 1 (1 point)
30. For the data in the table, does y vary directly with x? If it does,
write an equation for the direct variation.
x
3
6
y
6
1
8
82
4
(1 point)
yes; y = 2x
yes; y = 3x
yes; y = 4x
no; y does not vary directly with x
31. Match the equation with its graph.
–
x+
y = (1 point)
32. Find the slope of the line.
(1 point)
–
–3
5
33. What is the slope of the line that passes through the pair of
points?
(–2, 7), (18, 1) (1 point)
–
–
–
34. What is the slope of the line?
(1 point)
–2
0
undefined
2
35. Write an equation in point-slope form for the line through the
given point with the given slope.
(–7, 9); m =
(1 point)
y+7=
(x – 9)
y–7=
(x + 9)
y–9=
(x + 7)
y+9=
(x – 7)
36. The table shows the height of a tree as it grows. What
equation in slope-intercept form gives the tree's height at any time?
Heigh
Time
t
(month
(inch
s)
es)
2
14
4
23
6
32
8
41
(1 point)
y = 9x + 2
y=x+5
y=x
y = 5x +
37. Write y = –x – 3 in standard form using integers. (1 point)
2x + 5y = –15
2x + y = –3
2x + 5y = –3
x + y = –15
38. Tell whether the lines for the pair of equations are parallel,
perpendicular, or neither.
y=– x+1
2x – 3y = –3 (1 point)
parallel
perpendicular
neither
39. Write the equation of a line that is perpendicular to the given
line and that passes through the given point.
y+2=
(x – 5); (–4, 3) (1 point)
y = –3x + 15
y = –3x – 9
y = –4x + 3
y = – x – 11
40. Graph y = │x + 2│ (1 point)
41. Which graph represents the solution to the given system?
y = –2x + 1
y=
x + 6 (1 point)
42. How many solutions does the system have?
3x + 12y = 20
y = –x + (1 point)
one
two
infinite
none
43. Which inequality represents the graph below?
(1 point)
y≥5
x≥5
y≤5
x≤5
44. Bradley and Ryan are having a contest to see who can collect
the most bumper stickers. Bradley started with 23 bumper stickers
and plans to add 4 each month. Ryan has 9 bumper stickers and
plans to add 6 each month. After how many months will they have
the same number of bumper stickers? (1 point)
10 months
2 months
7 months
51 months
45. Which system is represented by the graph?
(1 point)
•
8x – y = 1
•
8x – y = –3
•
x – 8y = 1
•
x – 8y = –3
•
8x – y = –1
•
8x – y = 3
•
x – 8y = –1
•
x – 8y = 3
46. What is the solution of the system?
y = 14x – 1
y = –11x + 4 (1 point)
(5, –51)
47. Which graph represents the given inequality?
y > 4x – 2 (1 point)
48. What system of inequalities is represented by the graph?
(1 point)
•
y ≤ 3x – 4
•
5x + y ≤ 2
•
y ≥ 3x – 4
•
5x + y ≤ 2
•
y ≥ 3x – 4
•
5x + y ≥ 2
•
y ≤ 3x – 4
•
5x + y ≥ 2