Review Steps to solve an Equation

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

• Inverse operations
• math
• variable
• PEMDAS

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

What is the first step to solve this equation?

2x + 3(5x - 7) = 47

• Add 7 to both sides

• Combine 2x and 5x

• Distribute the 3 to 5x and - 7

• Subtract 2x from 5x

Q. 

Find the error in the problem.

• Should have added 19 to -1.

• Should have subtracted 3k instead of adding 3k to both sides.

• Should have gotten k = 20 since two negatives make a positve.

• There is no error.

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

What does isolate the variable mean?

• Make sure the variable is not alone.
• Get the variable by itself.
• Make the variable do a dance.
• Double the variable

Identify the steps to solve for b

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

• 5

• 12

• -28

• 1

• -11

• 0

• 1

• 10

x + 9 = 21

(a)