Solving two-step equations

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Tags

CCSS.7.EE.B.4A

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable, perform the inverse operations in reverse order: first undo addition or subtraction, then undo multiplication or division.

Tags

CCSS.7.EE.B.4A

Front

Solve for a: 4a - 7 = 33

Back

a = 10

Tags

CCSS.7.EE.B.4A

Front

Solve for a: -3a + 6 = 21

Back

a = -5

Tags

CCSS.7.EE.B.4A

Front

Solve for a: 2(3a - 5) + 6a = -22

Back

a = -1

Tags

CCSS.8.EE.C.7B

Front

Solve for a: 2 = -3a + 8

Back

a = 2

Tags

CCSS.7.EE.B.4A

Front

Solve for p: 14p - 8 = 22 + 20p

Back

p = -5

Front

What is the first step to solve the equation 4a - 7 = 33?

Back

Add 7 to both sides to get 4a = 40.

Tags

CCSS.7.EE.B.4A

Front

What is the second step to solve the equation 4a = 40?

Back

Divide both sides by 4 to get a = 10.

Tags

CCSS.6.EE.B.7

Front

What does it mean to perform the inverse operation?

Back

An inverse operation reverses the effect of the original operation, such as addition and subtraction or multiplication and division.

Tags

CCSS.HSA.REI.A.1