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Worksheets

SOL Review

Total questions: 55

Worksheet time: 2hrs 32mins

Name
Class
Date
1.

Which of the following inequalities is equivalent to x<3x < -3 ?

a)

3>x-3 > x

b)

x>3x > -3

c)

3<x-3 < x

d)

x3x \leq -3

2.

Which of the following is an example of an equation?

a)

3x+23x + 2

b)

x5=7x - 5 = 7

c)

4y4y

d)

a+ba + b

3.

If there are 12 apples and 4 oranges, what is the ratio of apples to oranges?

a)

1:31:3

b)

3:13:1

c)

4:124:12

d)

2:12:1

4.

In the expression 7y+47y + 4 , what is the coefficient?

a)

7

b)

4

c)

yy

d)

7y7y

5.

A graph shows that 8 books cost $24. What is the unit rate?

a)

22 books per dollar

b)

33 dollars per book

c)

44 books per dollar

d)

88 dollars per book

6.

If a recipe uses 5 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar?

a)

2:52:5

b)

5:25:2

c)

1:21:2

d)

2:12:1

7.

Which of the following is equivalent to y6y \geq 6 ?

a)

6<y6 < y

b)

y>6y > 6

c)

6y6 \leq y

d)

y<6y < 6

8.

Which of the following is a variable?

a)

55

b)

xx

c)

7y7y

d)

3+23 + 2

9.

A table shows that 12 pencils cost $6. What is the cost per pencil?

a)

22

b)

0.500.50

c)

66

d)

1212

10.

What is the ratio of 18 boys to 12 girls in simplest form?

a)

3:23:2

b)

2:32:3

c)

6:46:4

d)

9:69:6

11.

Which of the following inequalities is equivalent to a0a \leq 0 ?

a)

0<a0 < a

b)

a<0a < 0

c)

0a0 \geq a

d)

a0a \geq 0

12.

In the expression 5x+95x + 9 , how many terms are there?

a)

1

b)

2

c)

3

d)

4

13.

A graph shows that 4 gallons of gas cost $12. What is the unit rate in dollars per gallon?

a)

22

b)

33

c)

44

d)

66

14.

If there are 15 red marbles and 20 blue marbles, what is the ratio of red to blue marbles?

a)

3:43:4

b)

4:34:3

c)

1:21:2

d)

2:12:1

15.

How would you set up a proportion to solve for the missing values?

a)
b)
c)
d)
16.

Select the numbers that are arranged in order greatest to least.

a)

10%, 710, 0.0910\%,\ \frac{7}{10},\ 0.09

b)

710, 10%, 0.09\frac{7}{10},\ 10\%,\ 0.09

c)

0.09, 10%, 7100.09,\ 10\%,\ \frac{7}{10}

d)

710, 0.09, 10%\frac{7}{10},\ 0.09,\ 10\%

17.

NonCalculator QuestionNon-Calculator\ Question  

a)

22  

b)

1181\frac{1}{8}  

c)

12\frac{1}{2}  

d)

18\frac{1}{8}  

18.

NON-CALCULATOR Question

Look at the model. How can this model be represented as a number sentence?

a)

3  (2) = 63\ \cdot\ \left(-2\right)\ =\ -6

b)

2  3 = 6-2\ \cdot\ 3\ =\ 6

c)

6  2 = 3-6\ \cdot\ 2\ =\ -3

d)

3  (2 )=6-3\ \cdot\ \left(-2\ \right)=-6

19.

Simplify.   4 12Simplify.\ \ \ -4\ -12

a)

16-16  

b)

1616  

c)

8-8  

d)

88  

20.

Choose all the following that are true.

a)
b)
c)
d)
21.

A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. Which of these statements could be true?

a)

There are exactly 6 red apples and 1 yellow apple in the bag.

b)

There are exactly 18 red apples and 8 yellow apples in the bag.

c)

There are exactly 4 red apples and 9 yellow apples in the bag.

d)

There are exactly 9 red apples and 13 yellow apples in the bag.

22.

Identify the location of the point (10, 0).

a)

In Quadrant I

b)

In Quadrant III

c)

On the x-axis

d)

On the y-axis

23.

Which of these lists the numbers in order from least to greatest?

a)

3, -16, 47

b)

-16, 3, 47

c)

3, 47, -16

d)

-16, 47, 3

24.

This model represents 1 whole and is divided into equal parts. If you were to shade this model to represent 3/8 of this whole. Which fraction would be represented by this model? 

a)

616\frac{6}{16}  

b)

38\frac{3}{8}  

c)

916\frac{9}{16}  

d)

624\frac{6}{24}  

25.

Which number sentence represents the inequality graphed on this number line?

a)

x  2x\ \ge\ -2

b)

x  2x\ \le\ -2

c)

x > 2x\ >\ -2

d)

x < 2x\ <\ -2

26.

Amy bought three CD's for $15.34, $17.57, and $10.29, including tax. She gave the cashier $50.00. Which is closest to the amount of change Amy should receive?

a)

$1.00

b)

$7.00

c)

$10.00

d)

$17.00

27.

Timothy ordered 150 sandwiches on Monday. This circle graph represents the number of each kind of sandwich he ordered. Which is closest to the total number of turkey sandwiches Timothy ordered?

a)

25

b)

38

c)

50

d)

75

28.

The line plot below represents the number of pets that each of the students in Mrs. Jones’ class has. Use the graph to answer the questions below. How many students have 4 or more pets?

(a)  

29.

The largest portion of students have between _____ and _____ pets.

a)

0 - 1 pets

b)

2 - 3 pets

c)

4 - 5 pets

d)

6 or more pets

30.

Which number sentence is modeled by the shapes shown?

a)

x + 4 = 12

b)

4x = 12

c)

4x = 3

d)

x = 9

31.

Neela is making rectangular placemats that are 12 inches wide and 15 inches long. What is the least amount of ribbon that she will need to create a ribbon border around 1 placemat?

a)

54 inches

b)

54 square inches

c)

180 inches

d)

180 square inches

32.

Andy surveyed his friends to determine the number of books each of them read in February. These are the results of the survey. What is the mean of this data?

(a)  

33.

Andy surveyed his friends to determine the number of books each of them read in February. These are the results of the survey. What would be the best measure of central tendency for this set of values?

a)

Median, since one friend read significantly more books (19)

b)

Mean, since all the friends read about the same number of books

34.

A store has two different brands of trash bags. Each table represents a proportional relationship. Which brand of trash bags is the better deal?

a)

Brand A is the better deal because they cost $0.16.

b)

Brand A is the better deal because they cost $6.25.

c)

Brand B is the better deal because they cost $0.17.

d)

Brand B is the better deal because they cost $5.88.

35.

How would you set up a proportion to solve for the missing values?

a)
b)
c)
d)
36.

1 78 ÷ 3 = ?1\ \frac{7}{8}\ \div\ 3\ =\ ?  

a)

724\frac{7}{24}  

b)

58\frac{5}{8}  

c)

37243\frac{7}{24}  

d)

5585\frac{5}{8}  

37.

What is the value of 72  4 + 5 ?What\ is\ the\ value\ of\ 7^2\ -\ 4\ +\ 5\ ?  


a)

50

b)

40

c)

15

d)

14

38.

NON-CALCULATOR Question

a)

-5 + 2 = -3

b)

5 + (-2) = -3

c)

-5 + (-2) = -7

d)

5 + 2 = -7

39.

Simplify the expression.

(-4) - 12 = ?

(a)  

40.

Virginia Desmos Calculator Question

Select each integer that can be found on a number line between -12 and 12.

a)

10

b)

-14

c)

-11

d)

0

e)

15

41.

Virginia Desmos Calculator Question

Which ordered pair best represents point Y on the grid?

a)

(6, -3)

b)

(5, -2)

c)

(-2, 5)

d)

(-3, 6)

42.

Virginia Desmos Calculator Question

Which expression is represented by this model?

a)

17  14\frac{1}{7}\ \cdot\ \frac{1}{4}

b)

37  14\frac{3}{7}\ \cdot\ \frac{1}{4}

c)

17  34\frac{1}{7}\ \cdot\ \frac{3}{4}

d)

37  34\frac{3}{7}\ \cdot\ \frac{3}{4}

43.

Virginia Desmos Calculator Question

Which ratio is equivalent to 4.2?

a)

215\frac{21}{5}

b)

174\frac{17}{4}

c)

42100\frac{42}{100}

d)

2142\frac{21}{42}

44.

Virginia Desmos Calculator Question

Graph the inequality.

2 < x

a)

Open circle to the right

b)

Closed circle to the left

c)

Open circle to the left

d)

Closed circle to the right

45.

Virginia Desmos Calculator Question

Samual bought 4 rolls of tape to seal boxes. Each roll contains 32.9 meters of tape. He uses 1.2 meters of this tape to seal each box. What is the total number of boxes Samual can seal with these four rolls of tape?

a)

109 boxes

b)

130 boxes

c)

132 boxes

d)

157 boxes

46.

Virginia Desmos Calculator

A car salesman sold 40 cars last month. The circle graph shows the results of his sales by car color.

Identify the car color that most likely represents exactly 10 cars.

a)

Green

b)

Blue

c)

Purple

d)

Red

47.

x  245 = 178x\ -\ 2\frac{4}{5}\ =\ 1\frac{7}{8}  
Virginia Desmos Calculator

Solve the equation.

a)

427404\frac{27}{40}  

b)

3740-\frac{37}{40}  

c)

3740\frac{37}{40}  

d)

5145\frac{1}{4}  

48.

Virginia Desmos Calculator

Nikki drew a sketch of the floor plan of her home.

Which two rooms in Nikki's sketch appear to be congruent?

a)

Bedroom 1 and Family Room

b)

Dining Room and Bedroom 1

c)

Living Room and Bedroom 2

d)

Living Room and Dining Room

49.

Virginia Desmos Calculator

Clinton purchased a circular rug to cover part of a floor. The diameter of the rug is 8 feet. Rounded to the nearest whole number, what area of the floor will the rug cover?

a)

50 square feet

b)

50 feet

c)

25 square feet

d)

25 feet

50.

Virginia Desmos Calculator

A circular pool has a radius of 12 feet. What is the approximate distance around the pool, rounded to the nearest foot?

a)

Approximately 75 feet

b)

Approximately 38 feet

c)

Approximately 452 feet

d)

Approximately 48 feet

51.

Virginia Desmos Calculator

The line plot shows the number of letters in the names of 7 students. What is the balance point/mean for this set of data?

a)

5 letters

b)

6 letters

c)

7 letters

d)

8 letters

52.

Virginia Desmos Calculator

Select the inequalities that represents the graph in two different ways.

a)

m  4m\ \ge\ 4  

b)

4  m4\ \le\ m  

c)

m > 4m\ >\ 4  

d)

4 > m4\ >\ m  

53.

Virginia Desmos Calculator
Solve and graph the inequality.
Select all the solutions that make the inequality true.

x  5  3x\ -\ 5\ \le\ 3   

a)

8

b)

10

c)

-4

d)

22

e)

0

54.

v7 = 5\frac{v}{7}\ =\ 5  

Virginia Desmos Calculator

Solve the equation.  

How did you solve this equation?

a)

multiplied by 7 on both sides of the equal sign

b)

divided by 7 on both sides of the equal sign

c)

added 7 to both sides of the equal sign 

d)

subtract 7 from both sides of the equal sign

55.
How many of the following are integers?
a)
4
b)
2
c)
3
d)
1