Free Printable Solving Equations Review

1.

a number more than 12

a)

n + 12

b)

12n

c)

12 + n

d)

12 - n

2.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

3.

46 less than a number

a)

46 - n

b)

n - 46

c)

46 + n

d)

n + 46

4.

the difference between forty-six and a number

a)

46 x n

b)

46/n

c)

n-46

d)

46 − n

5.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x/16

6.

Which operation do you use when writing an expression to describe this scenario? Joe collected $5 from his grandmother and $12 from his Aunt. How much did he receive in total?

a)

addition

b)

subtraction

c)

multiplication

d)

division

7.

Select all that apply. An expression can contain ...

a)

coefficients

b)

variables

c)

an equal sign

d)

constants

8.

125 decreased by a number

a)

125 - n

b)

n - 125

9.

Match the clue word with the operation:
PRODUCT

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

10.

Match the clue word with the operation:
DIFFERENCE

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

11.

When translating word problems into math phrase, what math process does the word Sum relate to?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

12.

When translating word problems into math phrase, what math process does the word Take Away relate to?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

13.

When translating word problems into math phrase, what math process does the word Quotient relate to?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

14.

the product of 4 and 9

a)

4 + 9

b)

4(9)

c)

49

d)

9 - 4

15.

7 times a number plus 4

a)

7 x 4

b)

7n

c)

7(n + 4)

d)

7(4) + n

16.

Write the following expression:

The difference of a number and 6

a)

6 - x

b)

6 $\div$ x

c)

x $\div$ 6

d)

x - 6

17.

Which of the following does NOT show multiplication?

a)

12x

b)

12(x)

c)

12 $\cdot$ x

d)

12>x

18.

What symbol refers to the word IS?

a)

<

b)

=

c)

$\ne$

d)

+

19.

Write the following expression:

The product of 10 and a number is 30

a)

10 = 30x

b)

10 $\div$ x = 30

c)

10x = 30

d)

10x - 30

20.

Translate the following expression:

x²

a)

x times 2

b)

x second

c)

x squared

d)

x multiplied by 2

21.

Translate the following expression:

2x + 8 = 12

a)

The sum of 2 and 8 is 12

b)

The product of 2 and 8 is 12

c)

The sum of 2 and x multiplied by 8 is 12

d)

The product of 2 and x plus 8 is 12

22.

What is a variable?

a)

A number

b)

A symbol that represents a letter

c)

A letter that represents a number

d)

A number that represents a letter

23.

Translate the expression:
20 = $\frac{x}{4}$

a)

20 is the product of 4 and x

b)

The quotient of 20 and 4 is x

c)

20 is the quotient of 4 and x

d)

20 is the quotient of x and 4

24.

Translate the following:

x + 13 = 10 + 20

a)

The sum of a number and 13 is equal to the sum of 10 and 20

b)

The sum of 13x equals the sum of 10 multiplied by 20

c)

The sum of x and 13 equals the product of 10 and 20

d)

13 plus x is 10 times 20

25.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

26.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 − y + 5

27.

Three less than twice a number

a)

2x − 3

b)

3x − 2

c)

3 − 2x

d)

2 − 3x

28.

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

a)

True

b)

False

29.

Translate the phrase into an algebraic expression

"57 more than 3 times Kate's score" Use the variable g to represent Kate's score.

a)

57g + 3

b)

3g + 57

c)

3g - 57

d)

57 + 3g

30.

Translate the phrase into an algebraic expression

"8 less than the product of 4 and a number"

Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m + 4

c)

8m - 4

d)

4m - 8

31.

Translate the phrase into an algebraic expression

"35 multiplied by the quantity r less than 45"

a)

35(r - 45)

b)

35(45 - r)

c)

35r - 45

d)

45 - 35r

32.

Which of the following expressions would need parentheses?

a)

4 times the difference of a number and 8

b)

Five times a number increased by 7

c)

4 times a number

d)

15 less than a number multiplied by 12

33.

What will you do to solve this equation?

4x = 16

a)

divide both sides by 4

b)

multiply both sides by 4

c)

subtract 4 from both sides

d)

divide both sides by 16

34.

$\frac{3}{2}x\ =6$ solve for x

a)

4

b)

3

c)

12

d)

2

35.

$\frac{\left(x+2\right)}{2}=4$ Solve for x

a)

6

b)

0

c)

2

d)

4

36.

$3\left(3x-6\right)=18$

a)

$x=4$

b)

$x=-4$

c)

$x=8$

d)

$x=-12$

37.

$-3\left(x-8\right)=39$

a)

$x=-21$

b)

$x=-10.3$

c)

$x=-5$

d)

$x=5$

38.

What is the next step to solve this equation?
3x - 5 = 7

a)

Add 5 to both sides of the equation

b)

Add 3x to both sides of the equation

c)

Subtract 5 from both sides of the equation

d)

Subtract 7 from both sides of the equation

39.

a)

-10

b)

50

c)

-70

d)

10

40.

-15 + 3x - 7x = -43

a)

x = 7

b)

x = -7

c)

x = 58/4

d)

x = -14/5

41.

7w-3(4w+8)=11

a)

w= 3

b)

w= 9

c)

w= -7

d)

w= 7

42.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

43.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

44.

-15 = 5a +12- 2a + 6

a)

-11

b)

-3

c)

10

d)

7

45.

0.75 + 2(a - 0.5) = 3a - 0.4

a)

0.15

b)

5

c)

1.5

d)

3.75

46.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

47.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

48.

What is the error?

a)

Adding 2x to 3x

b)

Subtracting 5 from both sides

c)

Adding 2x to -2x

d)

Dividing by 5 on both sides

49.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

50.

Which step is incorrect?

2(1-5n) = -30 - 2n

Step 1: 2 - 7n = -30 - 2n

Step 2: 2 = -30 + 8n

Step 3: 32 = 8n

Step 4: 4 = n

a)

step 1

b)

step 3

c)

correct answer

d)

step 2

51.

Which step is incorrect?

120 = -4(7a+2)

Step 1: 120 = -28a - 8

Step 2: 112 = -28a

Step 3: a=-4

a)

Problem is correct

b)

step 1

c)

step 2

d)

step 3

52.

38 + 7k = 8(k + 4)

a)

6

b)

8

c)

-6

d)

1

53.

Solve the given equation

$17-5r+9r=-12+6r-1$

a)

$r=16$

b)

$r=-16$

c)

$r=14$

d)

$r=15$

54.

0.75 + 2(a - 0.5) = 3a - 0.4

a)

0.15

b)

5

c)

1.5

d)

3.75

55.

Solve this equation
(keep answers as fractions):

$6\left(2x-7\right)\ =\ -8x\ -32$

(a)

56.

Solve this equation:

$2x\ +3\left(x-3\right)=-49$

(a)

57.

$-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)$

a)

$x\ =\ 2$

b)

$x\ =\ 8$

c)

$x\ =\ -2$

d)

$x\ =\ -8$

58.

a)

50

b)

10

c)

-10

d)

-50

59.

a)

3

b)

-4

c)

-11

d)

-18

60.

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7

d)

2

61.

$-6x\ +\ 14\ =\ 26$

(a)

62.

$3.5\left(8x\ -\ 6\right)\ =\ 21$

(a)

63.

$6x\ +\ 5x\ -\ 8\ +\ 2\ =\ 5$

(a)

64.

$7x\ -\ 6\ +\ 3x\ =\ 4x\ +\ 6$

(a)

65.

$0.5\left(-6x\ +\ 8\right)\ -\ 2x\ =\ 3x\ +\ 10$

(a)

66.

$6x\ +\ 4\ =\ 9x\ -\ 5$

(a)

67.

$6.5\ -\ 3x\ -\ 7\ =\ 7x\ +\ 6.5\ +\ 3$

(a)

68.

$\frac{2}{5}\left(16\ -\ 4x\right)\ =\ 12x\ +\ 3$

(a)

69.

$2x\ -\ 7\ -\ 8x\ +\ 4\ =\ 8\ -\ 5x$

(a)

70.

$2.4\ -\ 3x\ +\ 5.7\ -\ 7x\ =\ 14x\ -\ 4x\ +\ 5.7$

(a)

71.

$-15\ +\ 4x\ -\ 2\left(x\ +\ 4\right)\ =\ 6x\ -\ 15$

(a)

72.

$-15\ +\ 4x\ -\ 2\left(x\ +\ 4\right)\ =\ 6x\ -\ 15$

(a)

Solving Equations Review

Total questions: 72

Worksheet time: 4hrs 40mins

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