Solving and Justifying Solutions to Equations

3c + 5 = 23

• c = 3

• c = 6

• c = 7

• c = 18

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.

What is the inverse operation needed to solve for p?

2p - 254= 900

• subtraction

• addition

• multiplication

• division

WRITE AN EQUATION

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

• 7x+6=331

• 13x=331

• 6x+7=331

• 331-7=6x

15 = 2a + 7

• 2
• 4
• 12
• 14

7 + ^a⁄₃ = 5

• a= -2
• a= -6
• a= 3
• a= 15

The steps in solving 5b - 6 = 24 are: 

• 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

Identify the property you would use to solve this equation:
4x = 72

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Identify the property you would use to solve this equation:
y – 7 = 28

• Additive Property of Equality
• Subtraction Property of Equality
• Multiplicative Property of Equality
• Division Property of Equality

Name the first property you will use to solve this equation:
3(x – 7) = 42

• Multiplication Property of Equality
• Commutative property
• Associative Property
• Distributive Property