Mr Hollar is solving an equation and moves from Step 1 to Step 2. Which property justifies the work between Step 1 and Step 2?

Inverse Property of Multiplication

Identity Property of Multiplication

Mrs. Smith is helping Rohan solve this linear equation for x. Original equation: \(\frac{1}{2}\left(x+6\right)\ =\ -\frac{3}{2}x+5\) Step 1: \(\frac{1}{2}x+3\ =-\frac{3}{2}x+5\) Step 2: 2x + 3= 5 Step 3: 2x = 2 Step 4: x =1 Step 5: 2x = 2 Answer: x = 1 Which properties did she apply from step 1 to step 2?

S1: Distributive prop S2: Add. poe S3: Subtract. poe S4: Division poe

S1: Mult. poe S2: Add. poe S3: CLT S4: Division poe

S1: Distributive prop S2: Subtract. poe S3: Add. poe S4: Division poe

S1: Mult. poe S2: Subtract. poe S3: CLT S4: Division poe

Solving Equations and Justifying Steps

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.REI.A.1, 7.EE.B.4A, 6.EE.A.3

+1

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given 2(4x +8) + 3x = 12
Step 1. 8x + 16 + 3x = 12
Step 2. 8x + 3x + 16 = 12
Step 3. 11x + 16 = 12
Step 4. -16 -16
Step 5. 11x = -4
Step 6. /11 /11
Step 7. x = -4/11
Which property justifies between step 2 and step 3?

Subtraction Property of Equality

Addition Property of Equality

Combine Like Terms

Multiplication Property of Equality

Tags

CCSS.HSA.REI.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Name the property you will first use to solve this equation:
4x – 5 = 17

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Tags

CCSS.HSA.REI.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSA.REI.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.HSA.REI.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which property of real numbers justifies the work shown from Step 1 to Step 2?

Distributive Property

Commutative Property

Identity Property

Associative Property

Tags

CCSS.HSA.REI.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which property of real numbers was used to get from Step 3 to Step 4?

Addition Property of Equality

Subtraction Property of Equality

Additive Inverse Property

Substitution Property

Tags

CCSS.HSA.REI.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which property justifies the work in solving this equation?

Addition Property of Equality

Additive Inverse Property

Identity Property of Addition

Subtraction Property of Equality

Tags

CCSS.HSA.REI.A.1

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Solving Equations and Justifying Steps

20 questions

Given 2(4x +8) + 3x = 12
Step 1. 8x + 16 + 3x = 12
Step 2. 8x + 3x + 16 = 12
Step 3. 11x + 16 = 12
Step 4. -16 -16
Step 5. 11x = -4
Step 6. /11 /11
Step 7. x = -4/11
Which property justifies between step 2 and step 3?

Name the property you will first use to solve this equation:
4x – 5 = 17

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

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

Which property of real numbers justifies the work shown from Step 1 to Step 2?

Which property of real numbers was used to get from Step 3 to Step 4?

Which property justifies the work in solving this equation?

Which property of real numbers justifies the work shown?

What is the first step to solve this equation:
-3x + 11 = 44

2x + 1 = 6
When solving, first UNDO add/sub. What would the first step be in solving this equation?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solving Equations and Justifying Steps

20 questions

Given 2(4x +8) + 3x = 12Step 1. 8x + 16 + 3x = 12Step 2. 8x + 3x + 16 = 12Step 3. 11x + 16 = 12Step 4. -16 -16Step 5. 11x = -4Step 6. /11 /11Step 7. x = -4/11Which property justifies between step 2 and step 3?

Name the property you will first use to solve this equation:4x – 5 = 17

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

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

Which property of real numbers justifies the work shown from Step 1 to Step 2?

Which property of real numbers was used to get from Step 3 to Step 4?

Which property justifies the work in solving this equation?

Which property of real numbers justifies the work shown?

What is the first step to solve this equation:-3x + 11 = 44

2x + 1 = 6When solving, first UNDO add/sub. What would the first step be in solving this equation?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Given 2(4x +8) + 3x = 12
Step 1. 8x + 16 + 3x = 12
Step 2. 8x + 3x + 16 = 12
Step 3. 11x + 16 = 12
Step 4. -16 -16
Step 5. 11x = -4
Step 6. /11 /11
Step 7. x = -4/11
Which property justifies between step 2 and step 3?

Name the property you will first use to solve this equation:
4x – 5 = 17

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

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

What is the first step to solve this equation:
-3x + 11 = 44

2x + 1 = 6
When solving, first UNDO add/sub. What would the first step be in solving this equation?