SOLVING EQUATIONS THAT CONTAIN PARENTHESES Quiz

Solving equations with one set of parentheses: Solve the equation 3(x + 4) = - 21

• x = -11

• x = 11

• x = 3

• x = -3

Answer explanation

1)Using the distributive property:

3(x + 4)= -21

3x + 12 = -21

-12 -12

3x = -33

3 3

x = -11

2) Using division property of equality:

3(x + 4) = -21

3 3

x + 4 = -7

-4 -4

x = -11

Tags

CCSS.7.EE.B.4A

Solving equations with one set of parentheses: Find the value of x in the equation - 2(3x - 5) = 16

• x = 3

• x = 1

• x = -4.33333...

• x = -1

Answer explanation

Using Distributive Property:

-2 ( 3x - 5) = 16

-6x + 10 = 16

-10 -10

-6x = 6

-6 -6

x = -1

Using the Division Property of Equality:

-2(3x - 5) =16

-2 -2

3x -5 = -8

+5 +5

3x = -3

3 3

x = -1

Tags

CCSS.7.EE.B.4A

Solving equations with one set of parentheses: What is the solution to the equation - 4(2x + 3) = 32

• x = 10

• x = 3

• x = 5.5

• x = - 5.5

Answer explanation

Using distributive property:

-4(2x + 3) = 32

-8x - 12 = 32

+12 +12

-8x = 44

-8 -8

x = -5 4/8 = -5 1/2 = -5.5

Using Division Property of Equality:

-4(2x + 3) = 32

-4 -4

2x + 3 = -8

-3 -3

2x = -11

2 2

x = -5 1/2 = -5.5

Tags

CCSS.7.EE.B.4A

Solving equations with one set of parentheses: Determine the value of x in the equation 5(4x - 2) = 30

• x = 5

• x = 8

• x = 10

• x = 2

Answer explanation

Using the distributive property:

5(4x -2) = 30

20x -10 = 30

+10 +10

20x = 40

20 20

x = 2

Using the division property of equality:

5(4x-2) = 30

5 5

4x -2 = 6

+2 +2

4x = 8

4 4

x = 2

Tags

CCSS.7.EE.B.4A

• x = 3

• x = 7

• x = 10

• x = 5

Tags

CCSS.7.EE.B.4A

• x = -45

• x = 45

• x = -55

• x = 55

Tags

CCSS.HSA.REI.A.1

What are the correct steps in solving the following equation: -5(x - 2) = 30

• divide both sides by 5 and then add 2 to both sides

• divide both sides by -5 and then add 2 to both sides

• distribute the -5 to both terms inside the parentheses and then add 10 to both sides

• distribute -5 to both terms in the parentheses and then add 2 to both sides

Answer explanation

1) Look at the answer choices

2) Try the first step

3) Be sure to look at the second step in the answer choice and compare with what you would do to solve it

So you must try

1) distributing and check what the next step would be

2) dividing by the front number and then seeing what the next step would be

Tags

CCSS.7.EE.B.4A