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Solving Equation Proofs

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Solving Equation Proofs
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Jared solved the equation shown below. Given: 5(x + 1) - 3(x -2) = 13 Step 1: 5x + 5 - 3x + 6 = 13 Step 2: 5x - 3x + 5 + 6 = 13 Step 3: 2x + 11 = 13 Step 4: 2x + 11 - 11 = 13 - 11 Step 5: 2x = 2 Answer: x = 1 Which properties did he apply from step 1 to step 2?

Associative pro

Distributive property

Subtraction property

Commutative property

Tags

CCSS.HSA.REI.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Jill solved the equation below. 2\left(x\ -1\right)\ =\ x\ +12 2x\ -\ 2\ =\ x+12 x-2=\ 12 x=14 She applied three properties of equality: I. Addition property of equality, II. Subtraction property of equality and III. Distributive property. In which order did Jill use the properties?

I, II, III

III, I, II

III, II, I

I, III, II

Tags

CCSS.HSA.REI.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the error

Adding 2x to 3x

Subtracting 5 from both sides

Adding 2x to -2x

Dividing by 5 on both sides

Tags

CCSS.HSA.REI.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is reason 1?

Subtraction Property of Equality

Transitive Property of Equality

Given

Prove

Tags

CCSS.HSA.REI.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

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 • 12 pts

Media Image

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

7.

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Media Image

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

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