Multi-step Equations/Applications

The objective when solving an equation is to....

• isolate the variable.
• check the solution.
• guess and check.
• Combine Like Terms.

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

What is the first step to solve this equation?
k + 6 = -4k - 9 

• Add k to both sides of the equation

• Add 4k to both sides of the equation

• Subtract 9 from both sides of the equation

• Subtract 4k from both sides of the equation

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

• subtract 10, divide by 7

• divide by 7, subtract 10

• multiply by 7, add 10

• add 10, multiply by 7

Solve for x:

2x - 3 + 4x = 27

• x = 12

• x = 4

• x = 5

• x = 15

Solve for b:
 3(b - 4) = -3

• b = 3
• b = -3
• b = 5
• b = -5

Solve for a:

-8(-4+a) + 3(2a+1) = -19

• a = 27

• a = -27

• a = 3.86

• a = 1.67

What is the solution?

• x = 22.

• x = 41

• x = -15

• x = 85

• 18
• -42
• 24
• -24