Quiz about Distributive, Associative, Commutative Property

Question 1

Generate an equivalent expression for the one shown below, using the distributive property.

Accepted Answer

8y - 8x

Answer

8xy

Answer

8(y) + 8(x)

Answer

(y-x)8

Question 2

Which property states that you can change the grouping when adding/multiplying and STILL get the same answer?

Accepted Answer

associative property

Answer

commutative property

Answer

distributive property

Question 3

Which property states that you can change the order of the numbers when adding/multiplying and STILL get the same answer?

Accepted Answer

commutative property

Answer

associative property

Answer

distributive property

Question 4

Determine which equation shows associative property.

Accepted Answer

(a + b) + c = a + (b+ c)

Answer

abc = cab

Answer

a(b+c) = ab + ac

Answer

(a+b) + c = (b+a) + c

Question 5

Use the distributive property to simplify: $$3(x - 4) + 2x$$ .

Accepted Answer

$$5x - 12$$

Answer

$$3x - 12$$

Answer

$$x - 12$$

Answer

$$5x - 2$$

Question 6

Simplify the expression using the distributive property: $$2(3x + 4) + x$$ .

Accepted Answer

$$7x + 8$$

Answer

$$6x + 4$$

Answer

$$6x + 8$$

Answer

$$7x + 4$$

Question 7

Find the equivalent expression for5(a + 6)

Accepted Answer

5a+30

Answer

5a+6

Answer

a+30

Answer

5a-30

Question 8

Determine which equation shows commutative property.

Accepted Answer

7 + 3 = 3 + 7

Answer

7 + 3 = 10

Answer

2 x 6 = 3 x 4

Answer

2(4-3) = 2(4) - 2(3)

Question 9

Determine which equation shows distributive property.

Accepted Answer

8(10-2) = 8(10) - 8(2)

Answer

8(10-2) = 8(10) + 8(2)

Answer

8(10-2) = 8(10) x 8(2)

Answer

8(10-2) = (8x10)-2

Question 10

Generate an equivalent expression, for the one shown below, using the associative property.

Accepted Answer

(8y + 2y) + 3

Answer

3(8y+2y)

Answer

3(8y-2y)

Answer

3 + 2y + 8y

Question 11

Generate an equivalent expression, for the one shown below, using the commutative property.

Accepted Answer

x + 2x + 3y + 4y

Answer

(x + 3y) + (2x+4y)

Answer

2x(x) + 3y(4y)

Answer

3x + 7y

Question 12

True or False? Associative property can be used when subtracting/dividing.

Accepted Answer

False, you cannot change the grouping in subtraction/division problems.

Answer

True, you can change the grouping in subtraction/division problems.

Distributive, Associative, Commutative Property

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