Solving multi-step problems using non-linear equations in one variable

Level 3

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

What is the inverse operation needed to solve the following one-step equation?
n / 13 = 26

• subtraction
• addition
• multiplication
• division

What operation is shown in this equation? $3s=15$  

• Addition

• Subtraction

• Multiplication

• Division

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

Which operation is present:

x - 7 = 10

• Addition

• Subtraction

• Multiplication

• Division

The solution shown for the equation is incorrect. What is the correct solution and which statement best describes the answer? Choose all that apply

• They should have subtracted 18 on both sides instead of adding.

• The second step should be -18 + 3r = 6, not -18 - 3r = 6

• The correct solution is r = 8, not r = -8

• The answer should be r = -4, not r = -8

• They did everything correctly.

Solving can be thought of as “__________________ in reverse.”

• PEMDAS

• Distribution

• Logic

• Identities

• A

• B

• C

• D

4 + a = a + 4

• Additive Inverse
• Additive Identity
• Commutative Add
• Distributive

Operations that undo one another.

• Inverse Operations

• Variable

• Reciprocal

• Multiplicative Inverse