Name: ________________________ Class: ___________________ Date: __________
ID: A
Chapter One Review Packet
Which variable expression represents the phrase?
Evaluate the power.
1. the product of h and p.
a. h ÷ p
b. h − p
c. h·p
d. h + p
7. 0 6
8. Use the formula V = s 3 to find the volume of the
cube with side length s.
Write the phrase as an expression. Let x represent
the number.
2. A number is decreased by 14
Evaluate the expression when w = 14.5, x = 10,
y = 3, and z = 2.5.
a.
b.
c.
d.
3. w − y
a. 5.5
b. 11.5
c. 17.5
d. 7
9. Compare each number in the top row of the table
with the number in the bottom row in the table.
Which variable expression for x completes the
table?
1 2 3 4
5 ... x
4. The size of Adam Locke's garden is 12 square feet
less than the size of Lin Tung's garden. Write an
expression for the size of Adam's garden.
1
5. Your school is selling tickets for a band concert to
raise money for a new gym.
a. If each ticket costs $3.50, write a variable
expression for the money raised after selling t
tickets.
b. The band needs to use some of the money raised
to pay for their new uniforms.
Each new uniform costs $7.25. Write a variable
expression for the cost of u new uniforms.
c. Use the expression in part b to find out how
much it will cost the band to purchase 32 uniforms.
d. If the cost of a uniform is t, write a variable
expression for the cost of u new uniforms.
a.
b.
c.
d.
4
9
16
25
...
?
3
x
x2
x4
2⋅x
10. A student writes that 3 4 equal 12. What is wrong
with that answer? What is the correct answer?
Evaluate the expression when z = 1.5.
11. z 4
Write the power in words and as repeated
multiplication. Then evaluate the power.
6. (0.3)
60 cubic inches
12 cubic inches
64 cubic inches
16 cubic inches
3
1
Name: ________________________
ID: A
Evaluate the expression.
16. Five friends are dining together and want to buy 3
salads, 5 sandwiches, 2 bowls of soup, 1 large
drink, and 4 medium drinks. They plan on dividing
the cost evenly among themselves.
Item
Price
12. 4 [ 17− (6 + 3)]
a. 66
b. 52
c. 32
d. 56
5.6 − 1.1
13.
5+4
a. 1.4
b. 0.5
c. 0.6
d. 1.7
Sandwich
$3.50
Salad
$1.50
Soup
$2.25
Small Drink
$0.85
Medium Drink
$0.95
Large Drink
$1.05
Write and evaluate an expression to find the cost
each person will owe towards the meal.
Evaluate the expression when x = 5, y = 20, and
z = 2.
17. The cost of a school banquet is $70 plus $13 for
each person attending. Write an expression that
models this problem. What is the cost for 90
people?
(x 3 − y)
+z
14.
x
a. 23
b. 29
c. 1598
d. 9
Find the opposite of the integer.
18. 21
15. Selina's mother drove 50 miles per hour for 8 hours
and 40 miles per hour for 9 hours. How far did she
drive in all? Use the expression 50 · 8+ 40 · 9 .
a. 90 mi
b. 800 mi
c. 850 mi
d. 760 mi
a.
b.
c.
d.
1
21
21
−21
1
−
21
Find the absolute value of the number.
19. −10
Order the integers from least to greatest.
20. 10, − 2, 2, − 8, 12
a. 2, − 8, 12, 10, − 2
b. −8, − 2, 2, 10, 12
c. −8, − 2, 2, 12, 10
d. 12, 10, 2, − 2, − 8
Copy and complete the statement using < or >.
21. 0 ? − 7
2
Name: ________________________
ID: A
Evaluate the expression when x = − 9.
Find the difference.
30. −22 − (−7)
a. 15
b. –15
c. –29
d. 29
22. 8 − (−x)
a. none of these
b. 1
c. −1
d. 17
23. −7 + | x |
Evaluate the expression for the given values of the
variables.
24. Evaluate the expression when a = 3 and b = 10 .
|a |+ |b |
31. −f − g, when f = 18 and g = − 24
Find the sum.
25. − 8
a.
b.
c.
d.
26. −6
a.
b.
c.
d.
Find the change in temperature.
+ (− 13)
5
21
−5
−21
32. From − 1°F to − 20°F
Evaluate the expression when
x = −4, y = 10, and z = −9.
33. −5 − x − z
+ 2 + (−5)
−3
9
13
−9
34. The forecast predicts that the temperature will
change from 15° Fahrenheit to −3° Fahrenheit on
Saturday.
a. Write an expression that represents the change in
temperatures for Saturday.
b. What is the expected temperature change?
c. If the temperature actually changes by 5°
Fahrenheit more than predicted, what will be the
change in temperature?
Evaluate the expression when
a = −6, b = −13 and c = 4.
27. a + (−5) + b
28. The Mustangs played football against the Thunder.
The Mustangs had a gain of 13 yards on their first
play and a loss of 9 yards on their second play. On
the third play there was a loss of 6 yards. Find the
total gain or loss for the 3 plays.
Find the product.
35. −4 (−67)
Find the quotient.
29. On a number line, what is the distance between 8
and –7?
a. –1
b. 1
c. –15
d. 15
36. −12 ÷ (−4)
1
a. −
3
b. 3
c. −3
1
d.
3
3
Name: ________________________
ID: A
Evaluate the expression.
40. Plot the points (3,2), (5,2), (5,−1), and (3,−1) on a
coordinate plane. Connect the points in order, with
the last point connected to the first.
a.
What figure will be formed?
b.
What is the area of the figure?
c.
What is the perimeter of the Figure?
37. xy, when x = − 6 and y = 5
a. −30
b. 30
c. −1
d. −11
A student measured the temperature in degrees
Celsius for several winter days and recorded the
data in a list. Find the mean of the temperatures
listed.
38. 3°, −10°, −8°, 2°, −11°, 0°, −7°, −1°
a. −2°C
b. −3°C
c. −4°C
d. −5°C
Plot the point and describe its location.
41. The point (a,−b) is located in Quadrant IV of a
coordinate plane. Identify the location of the point
with the coordinates (−a,−b).
a. The point is located in Quadrant II.
b. The point is located in Quadrant I.
c. The point is located in Quadrant III.
d. The point is located on the x-axis.
39. E(4,0)
42. The table shows the amount of time several students spent watching TV and their test grades.
Weekly TV (h) 6 12 18 24 30 36
Grade (%)
80 75 60 65 50 45
Graph the ordered pairs and make a statement about the trend that can be seen.
4
Name: ________________________
ID: A
43. In the table, x represents the number of minutes you
have worked mowing lawns and y represents the
number of ounces of water left in your water
cooler. Construct a scatter plot for this data. What
can you conclude about the data, based on the
scatter plot?
x 10 20 30 40 50 60 70 80
y
64
55
46
38
28
22
12
Evaluate the expression.
46.
18 − 5·2 + 6 2 − 24
−9 − (−2) − (−6) − 4
Evaluate the expression when r = 16, x = 2.5 ,
and t = 1.25.
7
ÍÈ
˙˘
2
47. r + x 2 + t − ÍÍÍÍ 2 (x − t ) + r ˙˙˙˙
Î
˚
Evaluate the expression when x = −6.
48. | x | + | − x | − ÁÊË |x | − |−x| ˜ˆ¯
49. | x | − | − x |
50. A golfer's scores for her past ten games are shown.
The positive scores represent the number of strokes
above par in each game and the negative scores
represent the number of strokes below par in each
game. Find the mean, median, mode, and range of
the golfer's ten golf scores, and explain the
meaning of each of these values.
What is the relationship between x and y?
44.
a.
b.
c.
d.
Game 1
Game 2
Game 3
Game 4
Game 5
5
7
6
−1
3
Game 6
Game 7
Game 8
Game 9
Game 10
−2
−1
−2
6
−1
The point (a, b) is in Quadrant IV of a
coordinate plane. Describe the location of the
point with the given coordinates.
y = − 2x − 8
y = −x+8
y = − 2x + 8
y = −x−8
51. (b, b)
Write a variable expression to represent the
phrase.
45. The total amount in dollars of q quarters.
5
ID: A
Chapter One Review Packet
Answer Section
1.
2.
3.
4.
5.
C
x − 14
B
x − 12
a. 3.5t
b. 7.25u
c. 7.25 × 32 = 232.00
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
d. tu
0.3 cubed; 0.3 ⋅ 0.3 ⋅ 0.3; 0.027
0
C
B
The student multiplied 3 times 4 instead of raising 3 to the fourth power. The correct answer is 81.
5.0625
C
B
A
D
3 (1.50) + 5 (3.50) + 2 (2.25) + 1 (1.05) + 4(0.95)
; Each person will owe $6.27.
5
13x + 70; $1240
C
10
B
0 > −7
C
2
13
D
D
−24
2-yard loss
D
B
6
−19°F
8
1
ID: A
34. a. 15−(−3)
b. 18 degrees
c. 23 degrees
35. 268
36. B
37. A
38. C
39.
Begin at the origin.
Move 4 units to the right.
Point E is on the x-axis.
40.
A rectangle is formed. The horizontal side lengths are each 2 units long, but the vertical side lengths are each 3
units long.
b.
c.
41. C
6 square units
10 units
2
ID: A
42.
Sample answer: More hours spent watching TV may reduce grades.
43.
The more hours you mow lawns, the less water you have in your cooler.
44. C
25q
q
45.
or
100
4
46. -4
47. 4.375
48. 12
49. 0
50. Mean = 2; The golfer's average score is 2, or 2 strokes above par. Median = 1; The middle value of the golfer's
scores is 1, or 1 stroke above par.
Mode =−1; The golfer scored −1, or 1 stroke below par, most often.
Range = 9; The golfer's highest score was 7 and the lowest score was −2, so the range is 7 − (−2) = 9.
51. Quadrant III
3