Free Printable Algebra Part 2: SOLVING SIMPLE EQUATIONS

1.

3x + 7x

a)

10x

b)

4x

c)

-4x

d)

-10x

2.

3x - 7x

a)

10x

b)

4x

c)

-4x

d)

-10x

3.

- 3x - 7x

a)

10x

b)

4x

c)

-4x

d)

-10x

4.

- 3x + 7x

a)

10x

b)

4x

c)

-4x

d)

-10x

5.

- 3x - (-7x)

a)

10x

b)

4x

c)

-4x

d)

-10x

6.

3x - (-7x)

a)

10x

b)

4x

c)

-4x

d)

-10x

7.

5a + b - 4a + b

a)

a + 2b

b)

a

c)

9a - 2b

d)

9a + 2b

8.

5a - b - 4a + b

a)

a + 2b

b)

a

c)

9a - 2b

d)

9a + 2b

9.

5a + b + 4a + b

a)

a + 2b

b)

a

c)

9a - 2b

d)

9a + 2b

10.

-5a + b - 4a + b

a)

9a + 2b

b)

-a

c)

9a - 2b

d)

-9a + 2b

11.

12.2x - 3.4x

a)

9.2x

b)

15.6x

c)

-8.8x

d)

8.8x

12.

1.6r + 3.8r

a)

54r

b)

5.4

c)

5.4r

d)

4.4r

13.

³/₇p - ¹/₁₄ p

a)

³/₁₄p

b)

-⁵/₁₄p

c)

⁵/₁₄ p

d)

p

14.

⁶/₈m - ¹/₄ m

a)

¹/₂m

b)

⁵/₄ m

c)

⁴/₈ m

d)

m

15.

3.6m + 1.6m + 18m

a)

0.07m

b)

23.2m

c)

7m

d)

7

16.

1¹¹/₁₂z - ⁵/₆ z

a)

¹³/₁₂ z

b)

¹⁵/₄ z

c)

^-23/₁₂z

d)

²³/₁₂ z

17.

Identify the like terms below.

x³, 3x, 3y, x², 3, x

a)

3x, x, x³

b)

They are all like terms

c)

3x, x

d)

3x, x, x³, x²

18.

x + 0.3x - x

a)

2.3x

b)

1.3x

c)

0.3x

d)

0.4x

19.

0.875y - 0.5y

a)

0.375y

b)

0.87y

c)

1.375y

d)

0.825y

20.

j - 0.45j

a)

1.45j

b)

0.55

c)

0.45j

d)

0.55j

21.

y + 6 = 20

a)

y = 14

b)

y = 4

c)

y = 26

d)

y = 16

22.

x - 10 = 12

a)

x = 2

b)

x = 22

c)

x = 12

d)

x = 20

23.

12 + z = 15

a)

z = 27

b)

z = 17

c)

z = 7

d)

z = 3

24.

2 + n = 16

a)

n = 14

b)

n = 4

c)

n = 18

d)

n = 8

25.

a + 4 = 14

a)

a = 18

b)

a = 10

c)

a = 8

d)

a = 4

26.

m - 5 = 10

a)

m = 20

b)

m = 5

c)

m = 15

d)

m = 10

27.

4 + b = 30

a)

b = 34

b)

b = 36

c)

b = 30

d)

b = 26

28.

10 + c = 25

a)

c = 15

b)

c = 35

c)

c = 5

d)

c = 25

29.

x - 60 = 20

a)

x = 40

b)

x = 60

c)

x = 80

d)

x = 45

30.

g - 16 = 4

a)

g = 4

b)

g = 26

c)

g = 12

d)

g = 20

31.

x - 15 = 20

a)

x = 20

b)

x = 25

c)

x = 35

d)

x = 5

32.

w + 14 = 18

a)

w = 4

b)

w = 14

c)

w = 12

d)

w = 32

33.

r - 18 = 27

a)

r = 9

b)

r = 45

c)

r = 55

d)

r = 18

34.

13 + k = 25

a)

k = 38

b)

k = 15

c)

k = 25

d)

k = 12

35.

f - 16 = 34

a)

f = 18

b)

f = 8

c)

f = 50

d)

f = 40

36.

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

a)

subtract

b)

add

37.

Solve the equation:

y - 112 = 225

a)

327

b)

336

c)

337

d)

338

38.

Solve the equation:

s + 42 = 76

a)

34

b)

33

c)

35

d)

32

39.

Solve the equation:

a + 5 = 37

a)

a = 37/5

b)

a = 42

c)

a = 185

d)

a = 32

40.

Solve the equation:

x - 6 = 25

a)

x = 19

b)

x = 32

c)

x = 35

d)

x = 31

41.

Solve the equation:

x + 16 = 81

a)

x = 55

b)

x = 64

c)

x = 66

d)

x = 65

42.

Solve the equation:

x - 32 = 49

a)

x = 17

b)

x = 71

c)

x = 81

d)

x = 49

43.

Solve the equation:

x + 120 = 200

a)

x = 32

b)

x = -32

c)

x = 80

d)

x = -8

44.

Solve the equation:

x + 17 = 22

a)

x = 5

b)

x = 19

c)

x = 4

d)

x = 84

45.

Solve the equation:

75 = b + 14

a)

b = 68

b)

b = 58

c)

b = 61

d)

b = 48

46.

What inverse operation would you use to solve this problem? g + 60 = 120

a)

subtract

b)

add

47.

Solve the equation:

x + 25 = 33

a)

x = 5

b)

x = 19

c)

x = 8

d)

x = 84

48.

Solve the equation:

x + 145 = 220

a)

x = 85

b)

x = 75

c)

x = 80

d)

x = 70

49.

Solve the equation:

y - 314 = 381

a)

696

b)

692

c)

695

d)

67

50.

AT&T charges $30 per month for phone service and a one-time activation fee of $25. What expression describes the scenario, where m = months?

a)

30 - 25m

b)

30m - 25

c)

30 + 25m

d)

30m + 25

51.

A Lyft driver earns $10/hour and works "h" hours per day. She also spends $25 on gas each day. Which expression represents how much she will earn in a day?

a)

10h + 25

b)

10h - 25

c)

10h - 25h

d)

10h + 25h

52.

Which expression represents the perimeter of a triangle in simplest form that has side lengths: 2x, 3x + 5, x + 2

a)

6x + 7

b)

13x

c)

5x + 7

d)

7x + 10

53.

The price of a visit to the dentist is $150. If the dentist fills any cavities, there is an additional charge of $50 per cavity. If the dentist finds "c" cavities, what is the cost of a visit?

a)

200c

b)

200 + c

c)

150c + 50c

d)

150 + 50c

54.

Translate the expression into words:

5x - 2

a)

Five less than a number minus two.

b)

The quotient of a number and five minus two.

c)

Five times a number minus two.

d)

Two less than the sum of five and a number.

55.

Translate the sentence into an expression:

The product of four and a number plus three

a)

3y + 4

b)

4 + y + 3

c)

4y + 3

d)

4(y + 3)

56.

Mr. Marcin is making bags of prizes for hardworking students. He has 92 prizes and splits them evenly into b bags. Which expression represents this situation?

a)

$92\ +\ b$

b)

$92\ -\ b$

c)

$92b$

d)

$92\ \div b$

57.

Mr. Williams is x years old. If his mother is twice his age minus four, what expression represents his mother's age?

a)

3x - 4

b)

2x - 4

c)

2 + x - 4

d)

2x + 4

58.

There were 47 frogs in a pond. f of the frogs hopped away. Choose the expression that represents this.

a)

$f\ -\ 47$

b)

$f\ +\ 47$

c)

$47\ \div\ f\$

d)

$47\ -\ f\$

59.

There are r rows of chairs with 8 chairs in each row. Choose the expression that represents the total number of chairs.

a)

$8r$

b)

$8\ \div\ r\$

c)

$8\ -\ r$

d)

$8\ +\ r$

60.

Shawn and his friends are going to the NC State fair. It costs $12 to park their car. Tickets to get in are $10 per person (p). Which expression represents how much money they will spend?

a)

12p + 10p

b)

12p - 10p

c)

12p + 10

d)

12 + 10p

61.

A plane traveling to Raleigh has 100 seats on board. If there are p passengers on the plane, which equation represents the number of empty seats there are on the plane?

a)

p - 100

b)

100 - p

c)

100p

d)

100 + p

62.

Translate the expression into words:

5x - 2

a)

Five less than a number minus two.

b)

The quotient of a number and five minus two.

c)

Five times a number minus two.

d)

Two less than the sum of five and a number.

63.

Translate the sentence into an expression:

The product of four and a number plus three

a)

3y + 4

b)

4 + y + 3

c)

4y + 3

d)

4(y + 3)

64.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

65.

Write an algebraic expression for:

three times a number plus 16

a)

3(16) + n

b)

16n + 3

c)

3n + 16

66.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

67.

a number more than 12

a)

x ÷ 12

b)

12n

c)

12 + n

d)

12 - n

68.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

69.

4 less than x

a)

4 − x

b)

x − 4

c)

4x

d)

−4x

70.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

71.

Three less than twice a number

a)

2x − 3

b)

3x − 2

c)

3 − 2x

d)

2 − 3x

72.

The difference of a number and 7

a)

7 − x

b)

x + 7

c)

x/7

d)

x − 7

73.

m plus the product of 6 and n

a)

m + 6n

b)

m − 6 + n

c)

6m + n

d)

m + 6 + n

74.

Subtract a number from 10

a)

n-10

b)

10+n

c)

10/n

d)

10-n

75.

4 less than a number

a)

4/n

b)

4+n

c)

n/4

d)

n-4

Algebra Part 2: SOLVING SIMPLE EQUATIONS

Total questions: 75

Worksheet time: 5hrs 33mins

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