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Solving Basic Equations with Multiplication or Division question and answers. Sample questions along with answers for a better understanding of the topic.

1.
® Name:

Date:

Solving Basic Equations with Multiplication or Division - Set 1 SE2 1

Instructions: Use multiplication or division to solve each equation.

x

1 4x = 12 2 (5) = 7 (5)

4 4

5

x = 35

x = 3

x

3 (3) = 9 (3) 4 72 = 9x

3 9 9

x = 27 8 = x

or x = 8

x

5 12x = 144 6 (4) 10 = (4)

12 12

4

40 = x

x = 12

or x = 40

24

7 (x) = 6 (x) 8 5x = 105

x 5 5

24 = 6x

6 6 x = 21

4 = x or x = 4

x 75 (x)

9 (12) = 9 (12) 10 (x) 15 =

12 x

15x = 75

x = 108

15 15

x = 5

x

11 (7) = 22 (7) 12 2x = 142

7 2 2

x = 154

x = 71

Solving Basic Equations - Part 2 • mathantics.com © 2015 Math Plus Motion, LLC

Date:

Solving Basic Equations with Multiplication or Division - Set 1 SE2 1

Instructions: Use multiplication or division to solve each equation.

x

1 4x = 12 2 (5) = 7 (5)

4 4

5

x = 35

x = 3

x

3 (3) = 9 (3) 4 72 = 9x

3 9 9

x = 27 8 = x

or x = 8

x

5 12x = 144 6 (4) 10 = (4)

12 12

4

40 = x

x = 12

or x = 40

24

7 (x) = 6 (x) 8 5x = 105

x 5 5

24 = 6x

6 6 x = 21

4 = x or x = 4

x 75 (x)

9 (12) = 9 (12) 10 (x) 15 =

12 x

15x = 75

x = 108

15 15

x = 5

x

11 (7) = 22 (7) 12 2x = 142

7 2 2

x = 154

x = 71

Solving Basic Equations - Part 2 • mathantics.com © 2015 Math Plus Motion, LLC

2.
® Name:

Date:

Solving Basic Equations with Multiplication or Division - Set 2 SE2 2

Instructions: Use multiplication or division to solve each equation.

48 (x)

1 40 = 8x 2 (x) 12 =

8 8 x

12x = 48

5 = x

12 12

or x = 5 x = 4

x

3 (8) = 8 (8) 4 11x = 66

8 11 11

x = 64

x = 6

32 x

5 (x) = 4 (x) 6 (3) = 24 (3)

x 3

32 = 4x

x = 72

4 4

8 = x or x = 8

x

7 6x = 78 8 (4) = 14 (4)

6 6 4

x = 56

x = 13

84 (x)

9 (x) 7 = 10 65 = 5x

x 5 5

7x = 84

13 = x

7 7

x = 12 or x = 13

x

11 3x = 135 12 (20) 3 = (20)

3 3

20

60 = x

x = 45

or x = 60

Solving Basic Equations - Part 2 • mathantics.com © 2015 Math Plus Motion, LLC

Date:

Solving Basic Equations with Multiplication or Division - Set 2 SE2 2

Instructions: Use multiplication or division to solve each equation.

48 (x)

1 40 = 8x 2 (x) 12 =

8 8 x

12x = 48

5 = x

12 12

or x = 5 x = 4

x

3 (8) = 8 (8) 4 11x = 66

8 11 11

x = 64

x = 6

32 x

5 (x) = 4 (x) 6 (3) = 24 (3)

x 3

32 = 4x

x = 72

4 4

8 = x or x = 8

x

7 6x = 78 8 (4) = 14 (4)

6 6 4

x = 56

x = 13

84 (x)

9 (x) 7 = 10 65 = 5x

x 5 5

7x = 84

13 = x

7 7

x = 12 or x = 13

x

11 3x = 135 12 (20) 3 = (20)

3 3

20

60 = x

x = 45

or x = 60

Solving Basic Equations - Part 2 • mathantics.com © 2015 Math Plus Motion, LLC

3.
® Name:

Date:

Solving Basic Equations (with Decimals) SE2 3

Instructions: Use multiplication or division to solve each equation. You can use a calculator to do

the decimal arithmetic if you’d like to.

x

1 5.0 = 2.5x 2 (2) = 1.6 (2)

2.5 2.5 2

2 = x x = 3.2

or x = 2

3 (x)1.5 =

0.5 (x) 4 0.1x = 2.4

x 0.1 0.1

1.5x = 0.5

1.5 1.5 x = 24

x = 0.3

x 3.5

5 (2.1) = 1.6 (2.1) 6 (x) = 2.5 (x)

2.1 x

x = 3.36 3.5 = 2.5x

2.5 2.5

1.4 = x or x = 1.4

x

7 (3) = 6.4 (3) 8 0.2x = 0.7

3 0.2 0.2

x = 19.2

x = 3.5

8.4 (x)

9 (x) 8 = 10 2.25 = 0.75x

x 0.75 0.75

8x = 8.4

3 = x

8 8

x = 1.05 or x = 3

Solving Basic Equations - Part 2 • mathantics.com © 2015 Math Plus Motion, LLC

Date:

Solving Basic Equations (with Decimals) SE2 3

Instructions: Use multiplication or division to solve each equation. You can use a calculator to do

the decimal arithmetic if you’d like to.

x

1 5.0 = 2.5x 2 (2) = 1.6 (2)

2.5 2.5 2

2 = x x = 3.2

or x = 2

3 (x)1.5 =

0.5 (x) 4 0.1x = 2.4

x 0.1 0.1

1.5x = 0.5

1.5 1.5 x = 24

x = 0.3

x 3.5

5 (2.1) = 1.6 (2.1) 6 (x) = 2.5 (x)

2.1 x

x = 3.36 3.5 = 2.5x

2.5 2.5

1.4 = x or x = 1.4

x

7 (3) = 6.4 (3) 8 0.2x = 0.7

3 0.2 0.2

x = 19.2

x = 3.5

8.4 (x)

9 (x) 8 = 10 2.25 = 0.75x

x 0.75 0.75

8x = 8.4

3 = x

8 8

x = 1.05 or x = 3

Solving Basic Equations - Part 2 • mathantics.com © 2015 Math Plus Motion, LLC

4.
® Name:

Date:

Solving Basic Equations (with Negative Numbers) SE2 4

Instructions: Use multiplication or division to solve each equation.

x

1 (5) = -6 (5) 2 -3x = -21

5 -3 -3

x = -30

x = 7

-12 (x) (x)

-28 = -4 (x)

3 (x) 3 = 4

x x

3x = -12 -28 = -4x

3 3 -4 -4

7 = x or x =7

x = -4

x

5 (-7) = 9 (-7) 6 15x = -45

-7 15 15

x = -63

x = -3

x

7 (-8) = -1(-8) 8 55 = -5x

-8 -5 -5

x = 8 -11 = x

or x = -11

9 -72 = -8x 10 (x) 9 =

-45 (x)

-8 -8 x

9x = -45

9 = x

9 9

or x = 9 x = -5

Solving Basic Equations - Part 2 • mathantics.com © 2015 Math Plus Motion, LLC

Date:

Solving Basic Equations (with Negative Numbers) SE2 4

Instructions: Use multiplication or division to solve each equation.

x

1 (5) = -6 (5) 2 -3x = -21

5 -3 -3

x = -30

x = 7

-12 (x) (x)

-28 = -4 (x)

3 (x) 3 = 4

x x

3x = -12 -28 = -4x

3 3 -4 -4

7 = x or x =7

x = -4

x

5 (-7) = 9 (-7) 6 15x = -45

-7 15 15

x = -63

x = -3

x

7 (-8) = -1(-8) 8 55 = -5x

-8 -5 -5

x = 8 -11 = x

or x = -11

9 -72 = -8x 10 (x) 9 =

-45 (x)

-8 -8 x

9x = -45

9 = x

9 9

or x = 9 x = -5

Solving Basic Equations - Part 2 • mathantics.com © 2015 Math Plus Motion, LLC