Solving Multi-Step Equations (with Distributive Property)

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Guess and check

Tags

CCSS.7.EE.B.4A

What is the first step to solve this equation?
x - 5 = 7 - 2x

• Add 7 to both sides of the equation

• Add 2x to both sides of the equation

• Subtract 2x from both sides of the equation

• Subtract 5 from both sides of the equation

Tags

CCSS.8.EE.C.7

What is the next step to solve this equation?
3x - 5 = 7

• Add 5 to both sides of the equation

• Add 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 7 from both sides of the equation

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

-15 = 5a +12- 2a + 6

• -11
• -3
• 10
• 7

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

3a + 9 + 4a = 2

• -1
• 1
• no solution
• -7

Tags

CCSS.8.EE.C.7B

4(a + 3) = -32

• -11
• -44
• -20
• -8

Tags

CCSS.7.EE.B.4A

2 + 14a = -8 + 9a

• -2
• 3
• 5
• -10

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x

• one solution
• infinitely many
• no solution

Tags

CCSS.8.EE.C.7A

0.75 + 2(a - 0.5) = 3a - 0.4

• 0.15
• 5
• 1.5
• 3.75

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

2x - 3 + 4x = 27

• 12

• 4

• 5

• 15

Tags

CCSS.8.EE.C.7B