Quiz about Algebraic Reasoning Proofs

Question 1

Identify the property of equality.
If 9=x, then x=9

Accepted Answer

Symmetric

Answer

Reflexive

Answer

Transitive

Answer

Substitution

Question 2

What is Addition property of equality

Accepted Answer

a.   If a=b, then a+c=b+c

Answer

b.  If a=b, then a-c=b-c

Answer

c.  If a=b, then ac=bc

Answer

d.  If a=b, then a/c=b/c

Question 3

Identify the property used here:
39=39

Accepted Answer

Reflexive

Answer

Symmetric

Answer

Transitive

Answer

Substitution

Question 4

Simplify the expression with the distributive property
6(x + 3)

Accepted Answer

6x + 18

Answer

6x + 3

Answer

x + 3

Answer

9x

Question 5

What is always the 1st statement in reason column of a proof?

Accepted Answer

Given

Answer

Prove

Answer

Reason

Answer

Statement

Question 6

Step 2 is what

Accepted Answer

Distributive Property

Answer

Substitution property (simplify)

Answer

Multiplication property of equality

Answer

Division property of equality

Question 7

What is step 4

Accepted Answer

Addition property of equality

Answer

Substitution property (simplify)

Answer

Subtraction property of equality

Question 8

What is step 6

Accepted Answer

Division property of equality

Answer

Subtraction property of equality

Answer

Addition property of equality

Question 9

Step 1 is what

Accepted Answer

given

Answer

addition property of equality

Answer

subtraction property of equality

Answer

prove

Question 10

What is reason 2?

Accepted Answer

Subtraction Property of Equality

Answer

Addition Property of Equality

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Question 11

What is the Distributive property of equality

Accepted Answer

b.  a(b+c)=ab+ac

Answer

a.  If a=b, then  a can be substituted for b in any equation or expression

Answer

c  For any real number a, a=a .

Answer

d.  If a=b, then b=a

Question 12

What is the Substitution property of equality

Accepted Answer

a.  If a=b, then  a can be substituted for b in any equation or expression

Answer

b.  a(b+c)=ab+ac

Answer

c  For any real number a, a=a .

Answer

d.  If a=b, then b=a

Question 13

What is the Transitive property?

Accepted Answer

If a=b, and b=c, then a=c

Answer

If a=b, then  a can be substituted for b in any equation or expression

Answer

a(b+c)=ab+ac

Answer

If a=b, then b=a

Question 14

When starting a proof you always start with:

Accepted Answer

Given information

Answer

What it wants you to prove

Answer

Equal Angles

Answer

Linear Angles

Question 15

For any numbers a and b, if a = b, then b = a.

Accepted Answer

Symmetric Property

Answer

Transitive Property

Answer

Reflexive Property

Answer

Substitution Property

Question 16

If x = y, then x + 5 = y + 5.

Accepted Answer

Addition POE

Answer

Subtraction POE

Answer

Reflexive POE

Answer

Transitive POE

Question 17

If m=a and a=k and k=e, then m=e.

Accepted Answer

Transitive POE

Answer

Addition POE

Answer

Symmetric POE

Answer

Reflexive POE

Question 18

If a=b, then 8a=8b

Accepted Answer

Multiplication POE

Answer

Division POE

Answer

Reflexive POE

Answer

Addition POE

Question 19

Identify the property of equality.
If 31=2x-5, then 2x-5=31

Accepted Answer

Symmetric

Answer

Reflexive

Answer

Transitive

Answer

Substitution

Question 20

3(w + 4) = 3w + 12 is an example of...

Accepted Answer

Distributive Property

Answer

Inverse Property

Answer

Multiplicative Inverse

Answer

Associative Property

Question 21

Identify the property of equality used & the solution.

Accepted Answer

addition: 26

Answer

addition: 2

Answer

subtraction: 26

Answer

subtraction: 2

Question 22

Identify the property of equality used & the solution.

Accepted Answer

subtraction: 13

Answer

addition: 13

Answer

addition: 3

Answer

subtraction: 19

Question 23

Identify the property of equality used & the solution.

Accepted Answer

division: - 7

Answer

division: 7

Answer

addition: - 40

Answer

multiplication: - 30

Question 24

Identify the property of equality used & the solution.

Accepted Answer

multiplication: 50

Answer

division: 50

Answer

multiplication: -50

Answer

addition: -5

Question 25

What is reason 3?

Accepted Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Question 26

What is reason 2?

Accepted Answer

Subtraction Property of Equality

Answer

Given

Answer

Addition Property of Equality

Answer

Substitution Property of Equality

Question 27

What is reason 1?

Accepted Answer

Given

Answer

Subtraction Property of Equality

Answer

Transitive Property of Equality

Answer

Prove

Question 28

What is reason 4?

Accepted Answer

Division Property of Equality

Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

Question 29

What is reason 5?

Accepted Answer

Symmetric Property

Answer

Transitive Property

Answer

Reflexive Property

Answer

Prove

Algebraic Reasoning Proofs

30 questions

Identify the property of equality.
If 9=x, then x=9

What is Addition property of equality

Identify the property used here:
39=39

Simplify the expression with the distributive property
6(x + 3)

What is always the 1st statement in reason column of a proof?

Step 2 is what

What is step 4

What is step 6

Step 1 is what

What is reason 2?

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Algebraic Reasoning Proofs

30 questions

Identify the property of equality.If 9=x, then x=9

What is Addition property of equality

Identify the property used here:39=39

Simplify the expression with the distributive property6(x + 3)

What is always the 1st statement in reason column of a proof?

Step 2 is what

What is step 4

What is step 6

Step 1 is what

What is reason 2?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Identify the property of equality.
If 9=x, then x=9

Identify the property used here:
39=39

Simplify the expression with the distributive property
6(x + 3)