Grade 9 · Math · Algebra 1

9th grade Name the property, and give the reason for each step in solving an equation worksheet

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Name the property, and give the reason for each step in solving an equation

Grade 9 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

1.
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
2.
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
3.
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
4.
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
5.
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
6.
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

9th grade Name the property, and give the reason for each step in solving an equation worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Name the property, and give the reason for each step in solving an equation. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can name the property that makes a rewrite true (for example, commutative or distributive).
I can give the reason for a step in solving an equation: do the same thing to both sides.
I can find the first line with a mistake in a worked solution.

Standard: A-REI.A.1 (A-SSE.A.2 supports)

Words to know

property: A rule that is always true for numbers, such as swapping the order of an addition.

commutative: Two pieces trade places and the total stays the same.

associative: The pieces keep their order and only the brackets move.

identity: Adding 0 or multiplying by 1 leaves the number the same.

inverse: A number and its opposite make 0 (or a number and its flip make 1).

property of equality: Do the same thing to both sides and the equation stays true.

Common mistakes

Your child mixed up swapping the order with regrouping.

Your child mixed up the property that keeps a number the same with the one that makes 0 or 1.

Your child named the operation that is in the equation, but the step undoes it.

What to say

Ask: in this step, did the numbers trade places or did the brackets move?

Ask: does the number stay the same, or does it become 0 or 1?

Ask: what was done to both sides to get the letter alone?

Questions parents ask

What is the most common mistake with name the property, and give the reason for each step in solving an equation?

Your child mixed up swapping the order with regrouping.

How can I help my child with name the property, and give the reason for each step in solving an equation?

Ask: in this step, did the numbers trade places or did the brackets move?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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