Free Printable Equations and Expressions Pratice Station

1.

Write an algebraic expression for:
35 decreased by a number

a)

35+n

b)

35-n

c)

n-35

2.

Write a verbal expression for:
4q

a)

Four q

b)

Four times q

c)

Four plus q

3.

Four times the sum of 7 and w

a)

4 x w

b)

4(7 + w)

c)

47w

4.

n - 9

a)

Take n away from 9

b)

Take 9 away from n

c)

The sum of n and 9

5.

8 (n - 3)

a)

Eight minus n and three

b)

Eight times the difference of n and three

c)

The addition of n and 3

6.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

7.

the quotient of a number and 4

a)

n / 4

b)

n - 4

c)

n + 4

d)

4n

8.

What does "quotient" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

9.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

10.

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

a)

True

b)

False

11.

What are coefficients?

a)

The letters in an expression

b)

The numbers without a letter

c)

The same as constants

d)

The number before a letter

12.

How many terms does the following expression have?

3 + 2b + c + 100 + 6b

a)

3

b)

4

c)

5

13.

True or False?

Variable terms and constant terms can be put together.

a)

True

b)

False

14.

True or False?

"x" terms in an expression and "y" terms in an expression can added or subtracted together.

a)

True

b)

False

15.

True or False?

In the distributive property, you are multiplying what is outside of the parentheses by what is on the inside of the parentheses.

a)

True

b)

False

16.

Simplify the expression by combining like terms:

3x + 2x

a)

5x

b)

x

c)

6x

d)

5

17.

Simplify the expression by combining like terms:

-r - 10r

a)

11r

b)

-11r

c)

9r

d)

-11

18.

Simplify the expression by combining like terms:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

19.

Simplify the expression by combining like terms:

-10x - 9x + 1

a)

-19x + 1

b)

-19x² + 1

c)

-10x - 8

d)

-19x - 1

20.

Simplify the expression by combining like terms:

-2y + 8 + 7y + 5

a)

-5y-13

b)

9y+13

c)

5y+13

d)

9y-13

21.

Simplify the expression by combining like terms:

-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

22.

Simplify the expression by combining like terms:

n - 10 + 9n - 3

a)

-3

b)

9n-3

c)

n

d)

10n -13

23.

Simplify the expression by combining like terms:

6x - 6y + 14

a)

6x - 6y + 14

b)

14

c)

xy + 14

d)

0

24.

Simplify the expression by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

25.

Simplify:

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

26.

Simplify:

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

27.

Simplify:

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

28.

Simplify:

2(x + y + z)

a)

2x + y + z

b)

2x + 2y + 2z

c)

x + y + 2z

d)

2x − 2y + 2z

29.

Simplify:

3(9 + 2d) + 4d

a)

18d+10d

b)

18d-10d

c)

27+10d

d)

37d

30.

Simplify:

9x + 5(x + 3)

a)

9x + 15

b)

45x + 27

c)

14x + 42

d)

14x + 15

31.

Simplify:

2x + 3(x + 3)

a)

−5x + 9

b)

5x + 9

c)

5x + (−9)

d)

−5x +(−9)

32.

Simplify:
4(8x + 1) - 6(1 - 8x)

a)

-80x - 2

b)

80x + 2

c)

-80x + 2

d)

80x - 2

33.

Simplify:

2x + 7(x - 5) - 4

a)

9x + 20

b)

9x + 31

c)

9x - 31

d)

9x - 39

34.

Simplify:

-6(3x - 9y - 10)

a)

-18x + 54y - 60

b)

-18x - 54y - 60

c)

-18x + 54y + 60

d)

-96xy

35.

Simplify:

11y + 3(2y - 4)

a)

5y

b)

17y - 4

c)

17y - 12

d)

5y + 12

36.

Simplify:

16w - 7 - 5w - 11 + 4(w - 5)

a)

15w - 38

b)

15w + 24

c)

17w - 2

d)

17w + 2

37.

Simplify:

-2(3x + 5) + 6x

a)

-12x - 5

b)

10

c)

-12x - 10

d)

-10

38.

Simplify:

½(4x - 10)

a)

8x - 5

b)

2x + 5

c)

2x - 5

d)

8x - 20

39.

Which of the following expressions is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

37f - 56

c)

43f - 56

d)

40f - 56 + 3f

40.

Which of the following expressions is equivalent to -8 - 9(2x + 5)?

a)

-18x - 85

b)

-18x - 53

c)

18x - 53

d)

18x + 37

41.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

42.

Factor:
12x - 20

a)

4x(3 - 5)

b)

4(3x - 5)

43.

Factor:
7x + 48y

a)

7(x + 7y)

b)

7(x + y)

c)

can't be factored

d)

7(x + 48y)

44.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

45.

Factor Completely:
16w + 80m

a)

2(8w + 10m)

b)

16(w + 5m)

c)

4(4w + 20m)

46.

Factor Completely:
-9u - 81

a)

9(u + 9)

b)

-9(u - 9)

c)

-9(u + 9)

47.

Factor Completely:

12 - 4b + 16x

a)

4(b-12 +4)

b)

4(3-b+4x)

c)

-4(b+2-6x)

d)

-4(-3 - b - 4)

48.

Factor Completely:
24+16q

a)

4(7+4q)

b)

8(3+2q)

c)

4(6q+2)

d)

24(24-16q)

49.

Factor Completely:
-3x - 15

a)

-3 (x+ 5)

b)

3 (x + 5)

c)

-3 (x -5)

50.

Factor Completely:

35c - 15d + 10x

a)

5(7c + 3d -2x)

b)

5(7d - 3c -2x)

c)

5(7c - 3d + 2x)

d)

5(-7c + 3d + 2x)

51.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

52.

Expand the following expression...

a)

8x - 8

b)

8x - 1

c)

8x - 7

d)

8x + 8

53.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

54.

Choose the equivalent expression

a)

5x

b)

-14x

c)

7 - 2x

d)

2x - 7

55.

You have a balance of $500 on your credit card. You are charged simple interest of 18%. What is the total you must pay back to the credit card company after 1 year?

a)

$90

b)

$410

c)

$500

d)

$590

56.

Find the sum:
(7k + 9) + (4k - 3)

a)

3k + 6

b)

11k + 6

c)

-11k + 6

d)

- 3k + 6

57.

Add these expressions
(3x+15) + (4x+13)

a)

7x+ 28

b)

35x

c)

x+2

d)

7x - 2

58.

(7a + 4) - (9a + 2)
^{(its subtraction not addition)}

a)

-2a + 6

b)

16a + 6

c)

-2a + 2

d)

2a + 2

59.

Find the difference (2x + 5) − (x + 4).

a)

x + 1

b)

3x + 9

c)

−x + 1

d)

x + 9

60.

(2x + 4) - (7x - 1)

a)

5x + 3

b)

-5x + 5

c)

-5x - 5

61.

(4x + 8) - (6x - 9)

a)

-2x + 1

b)

10x + 17

c)

-2x + 17

62.

(3x - 4) - (7x - 2)

a)

-4x - 2

b)

-4x + 2

c)

4x - 6

63.

(10x + 2) - (8x - 4)

a)

2x - 2

b)

2x + 6

c)

18x + 6

d)

18x - 2

64.

(6x + 9) - (4x + 6)

a)

10x + 15

b)

2x + 15

c)

10x + 3

d)

2x + 3

65.

Find the perimeter of the triangle below:

a)

(4x + 3) ft

b)

(6x + 5) ft

c)

(5x - 3) ft

d)

(6x + 3) ft

66.

13x = 65

a)

x = 4

b)

x = 5

c)

x = -3

d)

x = 7

67.

Which of the following are basic rules used for solving algebraic equations?

a)

Whatever you do to one side of the equal sign, you must do the same on the other side of the equal sign.

b)

Negative signs can be ignored.

c)

Always start on the left side, regardless of where the variable is.

d)

Always do the opposite operation.

68.

Solve for x:

$x+4=-3$

a)

-1

b)

4

c)

-7

d)

8

69.

Solve for f.

$5=f-2$

a)

4

b)

7

c)

-3

d)

2

70.

Solve for j.

$142=j+204$

a)

j = 64

b)

j = -84

c)

j = -62

d)

j = 346

71.

Solve for m:

$16=\frac{m}{8}$

a)

m = 98

b)

m = 128

c)

m = 2

d)

m = 136

72.

Solve for r.

$\frac{r}{2}=56$

a)

r = 112

b)

r = 54

c)

r = 102

d)

r = 92

73.

Solve for m:

$m-14=76$

a)

m = 90

b)

m = 52

c)

m = -62

d)

m = 80

74.

Solve for h.

$\frac{h}{8}=2$

a)

16

b)

-16

c)

10

d)

-10

75.

Solve for g:

$6=g+8$

a)

-2

b)

14

c)

48

d)

2

76.

14x-10=4

a)

$x=-8$

b)

$x=10$

c)

$x=1$

d)

$x=-14$

77.

\frac{x}{5}+7=9

a)

$x=5$

b)

$x=7$

c)

$x=9$

d)

$x=10$

78.

$-6x-4=8$

a)

$x=-10$

b)

$x=14$

c)

$x=6$

d)

$x=-2$

79.

\frac{x}{6}-5=-2

a)

$x=24$

b)

$x=18$

c)

$x=2$

d)

$x=-2$

80.

5x-1=19

a)

$x=4$

b)

$x=10$

c)

$x=5$

d)

$x=15$

81.

Ken is thinking of a number. Nine more than the product of 4 and the number is 73. What is the equation?

a)

4 + 9x = 73

b)

4x = 73

c)

4x + 9 = 73

d)

9x + 4 = 73

82.

WRITE AN EQUATION

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

a)

7x+6=331

b)

13x=331

c)

6x+7=331

d)

331-7=6x

83.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

84.

Eight less than 7 times a number is the same as 4 more than 3 times the number

a)

x + 3 = x

b)

8 = x + 4 + 3

c)

8 - 7x = 4 + 3x

d)

7x - 8 = 3x + 4

85.

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.

86.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

87.

Solve for a

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

88.

Level 3

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

89.

-5z+5=-30

a)

z=7

b)

z=6

c)

z=5

d)

z=35

90.

Solve for x. $\frac{x}{7}-8=16$

a)

x = 56

b)

x = 8/7

c)

x = 24/7

d)

x = 168

91.

Which expression represents "x cubed less than 7"?

a)

x³ - 7

b)

3x - 7

c)

7 - x³

d)

7 - 3x

92.

What is an algebraic expression made of?

a)

Numbers and operations

b)

Numbers and multiplication

c)

Addition and multiplication

d)

Numbers and variables

93.

Which phrase describes this expression?

6y + 4

a)

6 times the sum of y and 4

b)

The product of 6 and 4 times y

c)

4 more than the sum of 6 and y

d)

The product of 6 and y plus 4

94.

Which operation is represented by 2x?

a)

addition

b)

subtraction

c)

multiplication

d)

division

Equations and Expressions Pratice Station

Total questions: 94

Worksheet time: 6hrs 46mins

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