Free Printable Algebraic Expressions and Equations Test

1.

Evaluate each expression using the values: a=3 b=2 and c=5

5a – c

a)

13

b)

3

c)

10

d)

20

2.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

3.

Evaluate 3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

4.

Evaluate 4y if y = 3

a)

7

b)

12

5.

Evaluate the expression below for x=16.

$\frac{x}{2}$

a)

32

b)

8

c)

14

d)

18

6.

Evaluate the expression below for h=7.

3h

a)

21

b)

37

c)

4

d)

14

7.

Evaluate the expression below for c=5.

$8c+25$

a)

17

b)

33

c)

110

d)

65

8.

Evaluate the expression below for j=6.

$2j-7$

a)

17

b)

5

c)

-5

d)

19

9.

Evaluate the expression below for k=6.

$4k-5$

a)

39

b)

5

c)

19

d)

27

10.

Evaluate the expression below for y=3.

$y+4$

a)

8

b)

34

c)

4

d)

7

11.

Evaluate the expression below for m=6.

$2m-2$

a)

24

b)

10

c)

1

d)

6

12.

Evaluate the expression below for r=30.

$\frac{r}{5}$

a)

35

b)

5

c)

25

d)

6

13.

Evaluate the expression below for f=8.

$2f+7$

a)

24

b)

23

c)

31

d)

35

14.

Evaluate the expression below for x=8.

$4x-6$

a)

36

b)

26

c)

42

d)

59

15.

$\frac{36}{m}+\ 13$ Evalute the following expression for n = 6

(a)

16.

$6n\ +\ y$ Evaluate the expression when n = 5 and y = 3

(a)

17.

$\frac{n}{7}\ \ Evaluate\ the\ \exp ression\ for\ n\ =\ 77$

(a)

18.

Evaluate 2n + 7 if

n = 7

(a)

19.

Evaluate the expression when x = 8:
7(6 + 3 − x)

a)

72

b)

56

c)

21

d)

7

20.

Evaluate 3b + 2d

when

b = 3, d = 2

(a)

21.

Evaluate the expression below for x=16.

$\frac{x}{2}+2$

(a)

22.

Evaluate the expression below for c=5.

$8c+25$

a)

17

b)

33

c)

110

d)

65

23.

Evaluate b² + 4 when b = 3

a)

10

b)

12

c)

13

d)

11

24.

Evaluate if a = 2 and b = 8
6 + 7b - 3a

a)

-100

b)

100

c)

-56

d)

56

25.

(6 + 2) (3 + 2)

a)

18

b)

26

c)

16

d)

40

26.

Evaluate 5m + 7

m = 5

a)

12

b)

25

c)

32

27.

When z = 2

2z + 3z + 4z

a)

18

b)

9

c)

96

d)

2

28.

Evaluate the algebraic expression below if n = 2.

$5n+5\ -\ n$

a)

9

b)

13

c)

12

d)

15

29.

a)

18

b)

30

c)

6

d)

8

30.

An equation is a math sentence that contains an____________ sign.

a)

variable

b)

equal

c)

operation

d)

inverse

31.

What is the inverse operation of subtraction?

a)

Subtraction

b)

Multiplication

c)

Division

d)

Addition

32.

17 = x + 3

a)

x = 20

b)

x = 14

c)

x = 13

d)

x = 19

33.

y - 14 = 66

a)

80

b)

52

c)

79

d)

Answer Not Given

34.

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

35.

x + 40 = 56

a)

x = 16

b)

x = 96

c)

x = 15

d)

x = 10

36.

m + 23 = 250

a)

227

b)

273

c)

220

d)

280

37.

The goal when solving an algebraic equation is to isolate the variable.

a)

True

b)

False

38.

*CHALLENGE* Solve for p. p - 12 = 14.50

a)

p = 26

b)

p = 26.50

c)

p = 12

d)

p = 14.50

39.

Which procedure could be used to find the value for x that makes the statement true?

x + 22 = 64

a)

Multiply both sides of the equation by 22

b)

Divide both sides of the equation by 22

c)

Add 22 to both sides of the equation

d)

Subtract 22 from both sides of the equation

40.

x - 5.5 = 13.53

a)

x = 8.03

b)

x = - 8.03

c)

x = - 19.03

d)

x = 19.03

41.

5 + a = 37

a)

a = 37/5

b)

a = 42

c)

a = 185

d)

a = 32

42.

What inverse operation would you use to solve this problem?
g - 57 = 113

a)

subtract

b)

add

43.

y - 71 = 211

a)

280

b)

140

c)

282

d)

380

44.

What does inverse mean?

a)

The same

b)

The opposite

45.

In an equation, you want to get the variable...

a)

on one side

b)

to disappear

c)

by itself

46.

y - 5.1 = 4.8

a)

y = 9.9

b)

y = 5.1

c)

y = -0.3

d)

y = 4.8

47.

p - 0.2 = 1.4

a)

p = 1.2

b)

p = 1.6

c)

p = 1.0

d)

p = 0.2

48.

In the equation

x + 7 = 12

7 is being added to the variable, x.

How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.

The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

49.

Multiplying 5 and dividing 5 are ________________.

a)

equations

b)

inverse operations

c)

solutions of an equation

d)

expressions

50.

Solve the equation:
4p = 16

a)

p = 12

b)

p = -12

c)

p = -4

d)

p = 4

51.

$Find\ the\ value\ of\ the\ variable:\ \ 8\ =\frac{k}{2.5}$

a)

5

b)

10

c)

20

d)

3.2

52.

Solve: 7.5 = 5y

a)

15

b)

37.5

c)

375

d)

1.5

53.

Solve: 4b = 1.6

a)

64

b)

0.4

c)

4

d)

6.4

54.

Solve:

\frac{m}{1.2}=3

a)

3.6

b)

36

c)

2.5

d)

25

55.

The _________ must be alone or isolated on one side of the equation.

a)

constant

b)

coefficient

c)

exponent

d)

variable

56.

x ÷ 13 = 8

a)

x = 91

b)

x = 104

c)

x = 21

d)

x = 5

57.

Solve for m: 3.4 ∗ m = 19.6

a)

4

b)

3

c)

2

d)

1

58.

What is the inverse of multiplying by 3?

a)

dividing by 3

b)

multiplying by 3

c)

subtracting 3

d)

adding 3

59.

15x = 75

a)

x = 5

b)

x = 25

c)

x = 15

d)

x = 3

60.

11p = 99

a)

99

b)

9

c)

11

d)

1

Algebraic Expressions and Equations Test

Total questions: 60

Worksheet time: 2hrs 53mins

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