Free Printable Proofs cont.

1.

What is Addition property of equality

a)

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

b)

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

c)

c. If a=b, then ac=bc

d)

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

2.

Identify the property used here:

<B=<B

a)

Reflexive Property

b)

Addition Property

c)

Substitution Property

d)

None of the above

3.

What is the reason for the statement below?
Given: m∠1 = 63
m∠1 + m∠2 = 90
Prove: 63 + m∠2 = 90

a)

Subtraction Property of Equality

b)

Reflexive Property of Equality

c)

Addition Property of Equality

d)

Substitution Property of Equality

4.

If 3x + y = 14 and y = 9, then 3x + 9 = 14.

a)

Reflexive Property of Equality

b)

Symmetric Property of Equality

c)

Transitive Property of Equality

d)

Substitution Property of Equality

5.

What is reason 1?

a)

Subtraction Property of Equality

b)

Transitive Property of Equality

c)

Given

d)

Prove

6.

What is reason 2?

a)

Given

b)

Addition Property of Equality

c)

Subtraction Property of Equality

d)

Substitution Property of Equality

7.

What is reason 3?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

8.

What is the fifth Reason?

a)

Symmetric Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

9.

Step 2 is what

a)

Substitution property (simplify)

b)

Multiplication property of equality

c)

Division property of equality

d)

Distributive Property

10.

What is step 4

a)

Substitution property (simplify)

b)

Addition property of equality

c)

Subtraction property of equality

11.

What is step 6

a)

Subtraction property of equality

b)

Addition property of equality

c)

Division property of equality

12.

Step 1 is what

a)

addition property of equality

b)

given

c)

subtraction property of equality

d)

prove

13.

What is reason 2?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

14.

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

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

15.

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

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

d)

Substitution Property

16.

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

a)

Inverse Property

b)

Distributive Property

c)

Multiplicative Inverse

d)

Associative Property

17.

What is reason 3?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

18.

What is multiplication property of equality

a)

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

b)

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

c)

c. If a=b, then ac=bc

d)

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

19.

What is division property of equality

a)

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

b)

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

c)

c. If a=b, then ac=bc

d)

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

20.

Who am I

a)

Mike Tyson

b)

Floyd Mayweather

c)

Sugar Ray Robinson

d)

Muhammad Ali

21.

What is the justification?

a)

Vertical Angles Theorem

b)

Transitive Property of Equality

c)

Compliment Theorem

d)

Reflexive Property of Congruence

22.

What is the justification?

a)

Transitive Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Substitution Property of Equality

23.

What property is next?

a)

Addition Property

b)

Subtraction Propety

c)

Multiplication Property

d)

Division Property

24.

What property is shown here in step 2.

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

25.

What property is shown here in step 3

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

26.

What is the property shown here in step 4?

a)

Symmetry Property

b)

Addition Property

c)

Subtraction Property

27.

What number was distributed?

a)

1

b)

2

c)

3

28.

What was the last step to solve?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

29.

.

a)

Addition Property of Equality

b)

Segment Addition Postulate

c)

Symmetric Property of Equality

d)

Distributive Property of Equality

30.

Match the property to the statement.

a)

If $4m+n=7$ and $n=3$ , then $4m+3=7$ .

1.

Substitution

b)

If $a=-5$ , then $2a=-10$ .

2.

Multiplication

c)

If $3x=y$ , then $y=3x$ .

3.

Symmetric

d)

If $4w-1=12$ , then $4w=11$ .

4.

Addition

e)

If $a+b=c$ and $c=d^2$ , then $a+b=d^2$ .

5.

Transitive

31.

Step 2: (a) Step 3: (b) Step 4: (c) Step 5: (d)

Choose from the below words

Division

Addition

Multiplication

Reflexive

Distributive

32.

Which reason justifies the statement?

a)

Combine Like Terms

b)

Multiplication Property of Equality

c)

Division Property of Equality

d)

Addition Property of Equality

33.

Which property is shown here?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

34.

Which property is shown here?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

35.

Which of the following can be proved true by the Multiplication Property of Equality.

a)

b)

c)

d)

36.

If $\frac{y}{2}$ = -10, then $y$ = -20

a)

Division Property of Equality

b)

Multiplication Property of Equality

c)

Addition Property of Equality

d)

Subtraction Property of Equality

37.

Which property is shown here?

a)

Addition Property

b)

Subtraction Property

c)

Division Property

d)

Multiplication Property

38.

If 3x = 15, then x = 5

a)

Subtraction Property of Equality

b)

Addition Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

39.

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

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Additive Inverse Property

d)

Substitution Property

40.

Line 1 $3\left(x+8\right)=\ -9$

Line 2 $3x+24=\ -9$

Line 3 $3x+24-24=-9-24$

Line 4 $3x+0=-33$

Line 5 $3x=-33$

Where is the subtraction property of equality used?

a)

Line 1 to Line 2

b)

Line 2 to Line 3

c)

Line 3 to Line 4

d)

Line 4 to Line 5

41.

What property of equality is shown below?

25 + d = 36

25 + d - 25 = 36 - 25

a)

addition property of equality

b)

subtraction property of equality

c)

division property of equality

d)

multiplication property of equality

Proofs cont.

Total questions: 41

Worksheet time: 1hrs 2mins

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