Free Printable 4.31 Unit 4 Review

1.

Evaluate the expression below if n = 5

6n + 10

a)

50

b)

40

c)

30

d)

20

2.

Evaluate the expression below if a = 2 and b = 8

6 + 7b - 3a

a)

56

b)

100

c)

35

d)

15

3.

Evaluate the expression below if y = 5.2

5² + (y - 3) - 6

a)

5

b)

28

c)

35

d)

21.2

4.

Solve the expression below if

y = 5.25

6y\ -\ 4\ +\ 24\div6

a)

31.5

b)

27.5

c)

30

d)

20

5.

The expression 1.8c + 32 shows how to convert from degrees Celsius to degrees Fahrenheit, where C represents the temperature in degrees Celsius. What is the temperature in degrees Fahrenheit when the temperature is 10 degrees C ?

a)

10 degrees celsius

b)

18 degrees celsius

c)

50 degrees celsius

d)

40 degrees celsius

6.

Write an expression equivalent to 5(3x + 8y)

a)

3x + 8y

b)

15x + 8y

c)

15x + 40y

d)

15 + 40

7.

Identify the constant in the expression

3x + 2y + 7

a)

3

b)

2y

c)

7

d)

2

8.

Identify the coefficient(s) in the expression

4m + n + 2

a)

2

b)

4 , 1

c)

m

d)

n

9.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

10.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

11.

Identify the coefficients in the expression below:

\frac{n}{8}

+ 7n - 10

a)

-10

b)

$\frac{1}{8}$ , 7

c)

n

d)

3

12.

What are the constants in the expression:

7x - 5 + 9

a)

9

b)

7

c)

x

d)

-5 , 9

13.

Which of the following expressions represents the phrase:

5 less than a number, j

a)

5 - j

b)

j - 5

c)

j + 5

d)

5j

14.

Which expression represents the phrase

twice the sum of a number, n and 6

a)

n + 6

b)

2 + n

c)

2(n + 6)

d)

2n = 6

15.

Identify the algebraic expression for:

the product of 5 and a number, b, plus 15

a)

15b + 5

b)

b + 15

c)

b + 5

d)

5b + 15

16.

which verbal expression below could represent the expression

\frac{m}{8}

+ 5

a)

a number, m plus 5

b)

the quotient of a number, m and 8, plus 5

c)

8 + 5

d)

the number m, divided by 5

17.

Tom's dog weighs 7 pounds more than twice the weight of Kara's dog. If w represents the weight of Kara's dog, what expression below represents the weight of Tom's dog?

a)

w + 7

b)

2w + 7

c)

7 + 2

d)

2 - 7w

18.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

19.

Simplify by combining like terms:

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

20.

Combine like terms to simplify the following expression:

7 + 5(2a + 6) + 4a

a)

14a + 13

b)

20a + 12

c)

10a + 8

d)

14a + 37

21.

Factor the expression below to find an equivalent expression

8e - 4f

a)

4(e - 4f)

b)

4(2e - f)

c)

8(e - 4f)

d)

e - 8

22.

Solve the equation:

x + 12 = 20

a)

x = 8

b)

x = 32

c)

x = 10

d)

x = 2.2

23.

Solve:

6b = 30

a)

b = 12

b)

b = 2

c)

b = 5

d)

b = 10

24.

Solve the equation:

\frac{20}{x}\ =\ 2

a)

x = 40

b)

x = 10

c)

x = 22

d)

x = 18

25.

Solve the equation below:

m - 8.2 = 24

a)

m = 32.2

b)

m = 15.8

c)

m = 10

d)

m = 2.9

26.

Yesterday Joseph spent 30 minutes doing his chores. He washed dishes first and then spent 12 minutes cleaning his room. Write and solve an equation to determine how much time Joseph spent washing dishes, where w=time spent washing dishes.

a)

12w = 30

b)

w + 12 = 30

c)

w - 12 = 30

d)

12/w = 30

27.

Lara drives 25 miles per hour for a total of 150 miles. Write and solve an equation to determine how many hours Lara spent driving.

a)

25h = 150

h = 6 hours

b)

h + 25

h = 6 hours

c)

h + 25 = 150

h = 125 hours

d)

h - 25 = 150

h = 175 hours

28.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

29.

Which inequality matches the phrase:

There are more than twenty students in the hallway.

a)

s > 20

b)

s < 20

c)

s = 20

d)

s\ge10

30.

Which inequality represents the real-world situation below?

“Doctors say you should exercise at least 30 minutes every day.”

a)

x $<$ 30

b)

x $>$ 30

c)

x $\le$ 30

d)

x $\ge$ 30

31.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

32.

What inequality does the number line graph represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

33.

What is a possible solution to the inequality:

$x\ +\ 12\ <\ 30$

a)

15

b)

30

c)

28

d)

20

4.31 Unit 4 Review

Total questions: 33

Worksheet time: 8hrs 15mins

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