Quiz about Grade 6 Math Properties Quiz

Question 1

Use the distributive property to simplify the expression: $$3(4 + 5)$$ .

Accepted Answer

$$27$$

Answer

$$12$$

Answer

$$15$$

Answer

$$20$$

Question 2

Which expression shows the use of the commutative property of addition?

Accepted Answer

$$a + b = b + a$$

Answer

$$a(bc) = (ab)c$$

Answer

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

Answer

$$ab = ba$$

Question 3

Apply the associative property to find the value: $$(2 + 3) + 4$$ .

Accepted Answer

$$2 + (3 + 4)$$

Answer

$$5 + 4$$

Answer

$$9$$

Answer

$$2 + 7$$

Question 4

Which of the following demonstrates the commutative property of multiplication?

Accepted Answer

$$3 imes 4 = 4 imes 3$$

Answer

$$3(4 + 5) = 3 imes 4 + 3 imes 5$$

Answer

$$(3 imes 4) imes 5 = 3 imes (4 imes 5)$$

Answer

$$3 + 4 = 4 + 3$$

Question 5

Use the distributive property to expand the expression: $$5(x + 2)$$ .

Accepted Answer

$$5x + 10$$

Answer

$$5x + 2$$

Answer

$$7x$$

Answer

$$10x + 2$$

Question 6

Which expression is an example of the associative property of addition?

Accepted Answer

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

Answer

$$a + b = b + a$$

Answer

$$a(bc) = (ab)c$$

Answer

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

Question 7

Simplify the expression using the commutative property: $$9 + x$$ .

Accepted Answer

$$x + 9$$

Answer

$$9x$$

Answer

$$9 + x$$

Answer

$$x9$$

Question 8

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

Accepted Answer

$$12x + 8$$

Answer

$$7x$$

Answer

$$12x + 2$$

Answer

$$4x + 8$$

Question 9

Which of the following is an example of the associative property of multiplication?

Accepted Answer

$$(a imes b) imes c = a imes (b imes c)$$

Answer

$$a imes b = b imes a$$

Answer

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

Answer

$$ab = ba$$

Question 10

Use the commutative property to find the equivalent expression: $$y imes 7$$ .

Accepted Answer

$$7y$$

Answer

$$y + 7$$

Answer

$$7 + y$$

Answer

$$y7$$

Question 11

Which expression demonstrates the distributive property?

Accepted Answer

$$3 imes (4 + 5) = 3 imes 4 + 3 imes 5$$

Answer

$$3 + (4 + 5) = (3 + 4) + 5$$

Answer

$$3 imes 4 = 4 imes 3$$

Answer

$$(3 imes 4) imes 5 = 3 imes (4 imes 5)$$

Question 12

Apply the associative property to simplify the expression: $$(x imes 2) imes 3$$ .

Accepted Answer

$$x imes (2 imes 3)$$

Answer

$$x imes 5$$

Answer

$$6x$$

Answer

$$2x imes 3$$

Question 13

Use the distributive property to simplify: $$2(a + 4)$$ .

Accepted Answer

$$2a + 8$$

Answer

$$6a$$

Answer

$$2a + 4$$

Answer

$$8a + 4$$

Question 14

Which of the following shows the commutative property of multiplication?

Accepted Answer

$$ab = ba$$

Answer

$$a + b = b + a$$

Answer

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

Answer

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

Question 15

Apply the associative property to find the equivalent expression: $$5 + (6 + 7)$$ .

Accepted Answer

$$(5 + 6) + 7$$

Answer

$$5 + 13$$

Answer

$$18$$

Answer

$$11 + 7$$

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