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MVPA 3 Review

Total questions: 109

Worksheet time: 5hrs 27mins

Name
Class
Date
1.

Simplify the expression: 3x + 2 - 5x

4 lines
2.

Solve the equation: 2x + 5 = 15

4 lines
3.

Solve the inequality: 3x - 7 < 5

4 lines
4.

78+14-\frac{7}{8}+\frac{1}{4}  

a)

58\frac{5}{8}  

b)

58-\frac{5}{8}  

c)

1181\frac{1}{8}  

d)

118-1\frac{1}{8}  

5.

2 + (72)2\ +\ \left(-\frac{7}{2}\right)  

a)

1710-1\frac{7}{10}  

b)

5125\frac{1}{2}  

c)

17101\frac{7}{10}  

d)

512-5\frac{1}{2}  

6.

-8.15 + (-4.3)

a)

-12.45

b)

12.45

c)

-3.85

d)

3.85

7.
If the temperature in Chicago is -5 degrees and the temperature in Moscow is 8 degrees colder. What is the temperature in Moscow?
a)
-3 degrees
b)
-13 degrees
c)
3 degrees
d)
13 degrees
8.

115+(35)-1\frac{1}{5}+\left(-\frac{3}{5}\right)  

a)

35-\frac{3}{5}  

b)

145-1\frac{4}{5}  

c)

35\frac{3}{5}  

d)

1451\frac{4}{5}  

9.
Mr. Smith has an account balance of -$275.78.  He deposits $539.20 into his account.  What is Mr. Smith's account balance now?
a)
$813.98
b)
$263.42
c)
$539.78
d)
$345.98
10.
- 12 + - 8
a)
- 20
b)
20
c)
4
d)
-4
11.
5 + 9
a)
59
b)
14
c)
-14
d)
-4
12.
- 31 + - 7
a)
24
b)
-24
c)
- 38
d)
38
13.
19 + 7 + 6
a)
20
b)
-32
c)
32
d)
18
14.
- 2.5 + - 4.1
a)
-1.6
b)
1.6
c)
-6.6
d)
6.6
15.

18 - (-12)

(a)  

16.

20 + (-9)

(a)  

17.

-25 - 10

(a)  

18.

2.75 - (-1.25)

a)

4

b)

-4

c)

1.5

d)

-1.5

19.
−28+(−8)=
a)
36
b)
−36
c)
−20
d)
20
20.

Which is a UNIT rate?

a)

100 miles / 3 hours

b)

35 miles / 1 hour

c)

70 miles / 2 hours

21.

Find the unit rate (how many avocados per bag):

42 avocados in 7 bags

a)

7 avocados/bag

b)

6 avocados/bag

c)

7 bags/avocado

d)

14 avocados/bag

22.

Johnny read 300 words in 6 minutes. At what rate, words per minute, is Jonny reading? ( Since you want words per minute, words goes on top and minutes goes on the bottom)

(a)  

23.

Six tubs of frosting costs $5. How much is it for 1 tub of frosting?

a)

$1 per tub

b)

$8.30 per tub

c)

$0.83 per tub

d)

$0.08 per tub

24.

17 ÷ 5\frac{1}{7}\ \div\ 5  

a)

71 ×51\frac{7}{1}\ \times\frac{5}{1}  

b)

17 ×15\frac{1}{7}\ \times\frac{1}{5}  

c)

17 ÷ 51\frac{1}{7}\ \div\ \frac{5}{1}  

25.

Lauren bikes 4/3 miles in 1/10 hour. How long does it take her to bike one mile?

a)

7 1/2 hours

b)

2/15 hours

c)

13 1/3 hours

d)

3/40 hours

26.

A novelist can write 2 ¼ pages in 3/5 of an hour. What is her speed in pages per hour?

a)

4/15 pages per hour

b)

3 3/4 pages per hour

c)

20/27 pages per hour

d)

1 7/20 pages per hour

27.

Which statement best describes the relationship between paws and dogs in the table?

a)
Proportional
b)
Not Proportional
28.
Does the table show a proportional relationship?
a)
Yes
b)
No
29.

Identify the constant of proportionality.

a)

2

b)

3

c)

1.50

d)

2/3

e)

none (not proportional)

30.
What is the constant of proportionality?
a)
3
b)
4
c)
2
d)
5
31.
What is the constant of proportionality for this table?
a)
1/9
b)
9
c)
8
32.

What equation should you use when writing an equation for a proportional relationship?

a)

y = x + k

b)

y = kx

c)

x = yk

d)

x = ky

33.

Besian bought 6 ice cream cakes for $48 dollars. Write an equation that represents the total cost, y, of, x ,ice cream cakes.

a)

6x= 48y

b)

y= 8x

c)

x= 6y

34.

Write the equation for the table given.

(a)  

35.

Write the equation of the proportional relationship using the format y = kx.

(a)  

36.

What is 50% of 80?

a)

400

b)

40

c)

160

d)

20

37.

What percent is 20 of 80?

a)

20%

b)

50%

c)

25%

d)

75%

38.

12 is 80% of what number?

a)

15

b)

20

c)

9.6

d)

100

39.

What is 30% of 60?

a)

12

b)

6

c)

200

d)

18

40.

9 is what percent of 180?

a)

50%

b)

5%

c)

10%

d)

20%

41.

10 is what percent of 40?

a)

10%

b)

20%

c)

25%

d)

50%

42.

91 is 50% of what number?

a)

45

b)

42

c)

182

d)

200

43.
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
a)
$1.40
b)
$6
c)
$0.60
d)
$14
44.
200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?
a)
800
b)
180
c)
80
d)
120
45.

The original quantity is 10 and the new quantity is 13. What is the percent change? Is it an increase or decrease?

a)

0.3% increase

b)

0.3% decrease

c)

0.03% increase

d)

30% decrease

e)

30% increase

46.

Carl bought an airline ticket. Two weeks ago, the cost of the flight was $300. Now the cost is $375. What is the percent increase?

a)

.25%

b)

25%

c)

.40%

d)

40%

47.
Find each percent decrease. Round to the nearest percent.
From $80 to $64 
a)
35%
b)
10%
c)
20%
d)
25%
48.
The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.
a)
52%
b)
41%
c)
42%
d)
45%
49.
Find the percent increase. Round to the nearest percent.
From $5 to $8 
a)
40%
b)
60%
c)
55%
d)
65%
50.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket? 
a)
75
b)
51
c)
36
d)
isaiah
51.
What is the total cost with sales tax?
Price $6.15
Tax 7%
a)
$6.58
b)
$6.75
c)
$6.23
d)
$0.43
52.

Simplify the expression.

14 - 3z + 8 + z

a)

-2z + 22

b)

2z + 22

c)

4z + 22

d)

-4z + 22

53.

Simplify the expression.

3(q + 1) - 4

a)

3q - 1

b)

3q + 7

c)

3q + 1

d)

3q - 3

54.

Simplify the expression.

-2(g + 4) + 7g

a)

9g - 8

b)

9g + 4

c)

5g + 4

d)

5g - 8

55.
4a + 9 + a
a)
5a + 9
b)
14a
c)
3a + 9
d)
5a - 9
56.
Simplify the Expression. 
9z  - 21 - 3z + 10
a)
Simplified
b)
9z - 21 - 7
c)
9z - 11 -3z
d)
6z - 11
57.

Simplify:

15x + 2 - 5x + 6

a)

5x + 8

b)

15x + 8

c)

10x + 8

d)

17x + 11

58.

Simplify:

8(x - 3)

a)

8x + 24

b)

8x - 24

c)

8x - 3

d)

8x + 5

59.

Simplify:

3(2x + 4) + 5x

a)

11x + 12

b)

11x + 4

c)

5x + 18

d)

6x + 9

60.

Simplify:

10 + 4(2n + 3) -11n

a)

-3n + 22

b)

7n + 13

c)

19n + 17

d)

-3n + 13

61.
Simplify    5(2 - 7n)
a)
 52 - 57n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
62.

Simplify the expression.

11(b3)11\left(b-3\right)  

a)

11b3311b-33  

b)

8b8b  

c)

11b311b-3  

d)

33b33b  

63.
Choose the equivalent expression for the given expression: 2(r + y)
a)
3ry
b)
2r + y
c)
2r + 2y
d)
3r + 3y
64.

Choose ALL expressions equivalent to 4(2x+3)4\left(-2x+3\right)  

a)

8x+3-8x+3  

b)

2x+12-2x+12  

c)

8x+12-8x+12  

d)

2(6+4x)-2\left(-6+4x\right)  

e)

12+8x-12+8x  

65.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
a)
Add 62 to each side. 
b)
Subtract 62 from each side.
c)
Multiply each side by 62.
d)
Add 123 to each side.
66.
15 = 2a + 7
a)
2
b)
4
c)
12
d)
14
67.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
68.
3c + 5 = 23
a)
c = 3
b)
c = 6
c)
c = 7
d)
c = 18
69.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
70.

x513=20\frac{x}{5}-13=20  

(a)  

71.

3w+7=193w+7=19  

(a)  

72.

2g13=32g-13=3  

(a)  

73.

a3+4=6\frac{a}{3}+4=6  

(a)  

74.

1811x=26-18-11x=26  

(a)  

75.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
76.

Solve:  12=2+5d+2dSolve:\ \ -12=2+5d+2d  

(a)  

77.
What is the inverse operation of multiplication? 
a)
multiplication
b)
addition
c)
subtraction 
d)
division 
78.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
79.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
80.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

81.
Solve:
3(3x - 6) = 18
a)
x = 4
b)
x = -4
c)
no solution
d)
infinite solutions
82.
Solve: 4(x + 1) = 8
a)
-7/4
b)
7/4
c)
-1
d)
1
83.
Solve for x:
4 - 2(x - 3) = 24
a)
- 7
b)
7
c)
14
d)
- 14
84.
Solve for t.

6t 
4 ≤ -2
a)
t ≤ -1 
b)
t ≤ 1
c)
t=1
d)
1=t
85.
Solve for k. 

7k 
– 
2 ≥ -9
a)
k ≤ -1
b)
k≤1
c)
k≥1
d)
k ≥ -1
86.
Solve for u. 
u/7 – 1 ≤ 1
a)
14≥u
b)
14≤u
c)
u≤14
d)
u ≤ -14
87.
16 - 4a > 8
a)
a<-2
b)
a>-2
c)
a<2
d)
a>2
88.
-3y + 2 > 11
a)
y < -3
b)
y > -3
c)
y < 3
d)
y > 3
89.
-4x + 5 ≤ 29
a)
x ≥ 6
b)
x ≤ -6
c)
x ≥ -6
d)
x ≤ 6
90.
What inequality does the number line graph represent?
a)
2x +1 < -3
b)
x + 2 < 4
c)
-x + 3 > 1
d)
x + 4 >= 2
91.
What inequality does the number line graph represent?
a)
x <= 4
b)
x>= -4
c)
x < -4
d)
x < 4
92.
What inequality does the number line graph represent?
a)
-x + 5 >= 9
b)
2x - 3 > 5
c)
-x + 3 <= 7
d)
-2x + 6 > -2
93.
a)
x ≤ 12
b)
x ≥ 12
c)
x ≥ 14
d)
x ≥ 23
94.
a)
x < 16 
b)
x > 16 
c)
x < 32
d)
x < 10 
95.

Solve: 3 (m + 7) < 30

Hint: You have to distribute first!

a)

m < -3

b)

m > -3

c)

m < 3

d)

m > 3

96.

Solve the inequality for x. Choose the correct solution.

3x+2810-3x+28\ge10  

a)

A

b)

B

c)

C

d)

D

97.
a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

98.
Solve the inequality. Don't forget to check your solution set.
12 ≥ 15 - 6y
a)
y ≤ ½
b)
y ≤ 2
c)
y ≥ ½
d)
y ≥ 2
99.

Mr. Thrasher wants to know how the students at Cedar Bluff rate the cafeteria. He surveyed the hungry baseball team after practice last week to rate the school cafeteria. Is this a biased sample of the school's population?

a)

Yes, because it only asked one group of students

b)

No, the baseball team has the smartest students

c)

Yes, because it's voluntary survey

d)

No, the baseball team are good food critics

100.

Identify the Population:

Cherokee County Schools randomly selected 230 teachers to find out which technology resource its teachers feel is the most effective. What is the population in this situation?

a)

230 Teachers

b)

All Cherokee County teachers

c)

All Cedar Bluff teachers

d)

All Sand Rock and Spring Garden students

101.

Mrs. Connie wants to know the average student’s opinion of the tardy policy at our school. Which group of students should she survey in order to achieve the most accurate-non-biased results?

a)

30 students who are often tardy

b)

30 students who are rarely tardy

c)

30 7th grade students

d)

30 randomly selected students from our school

102.

At Centre Middle School, the 7th graders will conduct a survey to decide where they want to go on a field trip. Which method will result in an unbiased decision?

a)

to randomly ask 8th grade students who went on a field trip last year

b)

to randomly choose some 7th grade students to select a location

c)

to ask all 7th grade teachers and administrators for a location

d)

to ask the Beta Club to choose a location

103.
What is the median?
a)
62
b)
58
c)
66
d)
60
104.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
105.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
106.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
107.

The mode of the data is found at which number?

a)

0

b)

10

c)

3 & 5

d)

6 & 7

108.
What is the RANGE of this data
a)
40
b)
95
c)
90
d)
100
109.
What is the minimum value?
a)
64
b)
58
c)
66
d)
60