Two Step Equations

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

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

How would you isolate the variable in the following equation?

n + 4 = 12

• Add 4 to both sides, the answer is 16

• Divide both sides by 4, the answer is 3

• Subtract 4 from both sides, the answer is 8

• Multiply both sides by 4, the answer is 48

How would you isolate the variable for the following equation:

• Divide both sides by 7, the answer is 125

• Add 7 to both sides, the answer is 9

• Add 2 to both sides, the answer is 9

• Multiply both sides by 7, the answer is 14

How would you isolate the variable in the following equation?

• Multiply both sides by 7, the answer is 294

• Divide both sides by 7, the answer is 6

• Subtract 7 from both sides, the answer is 35

• Add 7 to both sides, the answer is 49

How would you isolate the variable for the following equation?

• Subtract 9 from both sides. The answer is

  36

• Divide both sides by 9, the answer is

  5

• Divide both sides by 45, the answer is 5

• Multiply both sides by 9, the answer is 5.

Which choice models this situation?
Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

• h - 5 = 35

• h + 5 = 35

• 5h = 35

• h/5 = 35

Becky is preparing for her younger sister's birthday party. She splits a jar of lollilops evenly among 6 goody bags. Each bag ends up with 4 lollipops. Which equation can you use to find the number of lollipops n in the jar?

• n/6 = 4

• n - 4 = 6

• 4n = 6

• n + 6 = 4

y - 4.6 = 12

• 16.6

• 5.8

• 7.4

• Answer not Given

Which choice models this situation? Anna participated in a read-a-thon. Mr. Cole pledged $4 per book and gave Anna $44. How many books did Anna read?

• b - 4 = 44

• b + 4 = 33

• 4b = 44

• b/4 = 44

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Add 62 to each side. 

• Subtract 62 from each side.

• Multiply each side by 62.

• Add 123 to each side.