Name the property, and give the reason for each step in solving an equation
Grade 9 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
To solve x + 7 = 12, Ari adds −7 to both sides and writes 7 + (−7) = 0. Which property of numbers does that step show?
- Associative property of addition
- Commutative property of addition
- Inverse property of addition
- Identity property of addition
Luz rewrites (x + 6) + 4 as x + (6 + 4). Which property of numbers allows this?
- Associative property of addition
- Commutative property of addition
- Identity property of addition
- Inverse property of addition
Ren solves 5x − 3 = 2x + 9 and writes 3x − 3 = 9. What is the reason for this step?
- Subtraction property of equality
- Addition property of equality
- Multiplication property of equality
- Division property of equality
Tala solves x/4 − 3 = 5 and writes x/4 = 8. What is the reason for this step?
- Division property of equality
- Addition property of equality
- Multiplication property of equality
- Subtraction property of equality
Zee solves 3(x + 2) = 18 and writes x + 2 = 6. What is the reason for this step?
- Distributive property
- Addition property of equality
- Division property of equality
- Multiplication property of equality
Jun solves x/6 = 2.5 and writes x = 15. What is the reason for this step?
- Multiplication property of equality
- Commutative property of multiplication
- Addition property of equality
- Division property of equality
Pia spreads −3(2x − 5) with the distributive property. The first piece is −6x. What is the missing number in −6x + ?
Kira spreads 4(3x − 7) with the distributive property. The first piece is 12x. What is the missing number in 12x + ?
Milo spreads −2(x + 9) with the distributive property. The first piece is −2x. What is the missing number in −2x + ?
Noah spreads −5(3 − 4x) with the distributive property. The first piece is −15. What is the missing number in −15 + ?x