7.6.8 Factoring and Expanding

Tags

CCSS.7.EE.A.1

Rewrite the following expression in simplified, expanded form.

Tags

CCSS.7.EE.A.1

Rewrite the following expression in factored form.

Tags

CCSS.7.EE.A.1

Rewrite the following expression in expanded form.

Tags

CCSS.7.EE.A.1

Using the following tape diagram, solve for x.

Mathematical Equivalence

ON

Answer explanation

2(x+4)=50

Divide by 2.

x+4 = 25

Subtract 4 from both sides.

x = 21

2(x+4)=50

Distribute the 2 to (x+4)

2x+8=50

Subtract 8 from both sides.

2x = 42

Divide both sides by 2.

x=21

Tags

CCSS.7.EE.B.4A

• Divide by 5 to each side.

• Add 1 to each side.

• Distribute the 5 to both the x and -1.

• Subtract 1 to both sides.

Tags

CCSS.HSA.REI.A.1

Mathematical Equivalence

ON

Answer explanation

2(x-3)=14

Divide both sides by 2.

x-3 = 7

Add 3 to both sides.

x=10.

2(x-3)=14

Distribute the 2 to (x-3)

2x-6=14

Add 6 to both sides.

2x=20

Divide both sides by 2.

x=10

Tags

CCSS.7.EE.B.4A

Mathematical Equivalence

ON

Answer explanation

-5(x-1)=40

Divide both sides by -5.

x-1=-8

Add 1 to both sides.

x=-7

-5(x-1) = 40

Distribute the -5 to (x-1).

-5x+5=40

Subtract 5 from both sides.

-5x=35

Divide by -5.

x=-7

Tags

CCSS.7.EE.B.4A

Mathematical Equivalence

ON

Answer explanation

10x+2=24

Subtract 2 from both sides.

10x=22

Divide both sides by 10.

x = 2.2

Tags

CCSS.7.EE.B.4A

Mathematical Equivalence

ON

Answer explanation

1/6(x+10)=11

Multiply both sides by reciprocal of the fraction (6) to get rid of the fraction.

x+10=66

Subtract 10 from both sides.

x=56

Tags

CCSS.7.EE.B.4A