Answered

To solve Lance’s equation, 2(x + 10) = 60, first

A.subtract 10 from both sides

B.multiply both sides by 2

C.divide both sides by 2

D.add 10 to both sides


Then

A.subtract 10 from both sides

B.add 10 to both sides

C.multiply both sides by 2

D.divide both sides by 2


Solve Lance's equation, 2(x + 10) = 60, for x. According to his model, the length of the rectangle is

A10 cm
B43 cm
C15 cm
D20 cm

To solve Olivia’s equation, 2x + 20 = 60, first

A.subtract 20 from both sides

B.multiply both sides by 2

C.divide both sides by 2

D.add 20 to both sides


Then

A.multiply both sides by 2

B.add 20 to both sides

C.subtract 20 from both sides

D.divide both sides by 2


Solve Olivia’s equation, 2x + 20 = 60, for x. According to her model, the length of the rectangle is

A30 cm
B2 cm
C20 cm
D15 cm

The two equations with different solution steps lead to

AThe same
BDifferent

answer(s), because 2(x + 10) = 60 and 2x + 20 = 60

AAre not
BAre

equivalent by the distributive property.

Verified Answer :

divide both sides by 2
subtract 10 from both sides
2(x + 10) = 60
x + 10 = 60/2
x + 10 = 30
x = 30 - 10
x =20

subtract 20 from both sides
divide both sides by 2
2x + 20 = 60
2x = 60 - 20
2x = 40
x = 40/2
x = 20

the same
are