Properties of Operations Quiz

What property is shown by the equation: 5 + (7 + 2) = (5 + 7) + 2?

• Associative

• Commutative

• Distributive

• Identity

Answer explanation

The equation 5 + (7 + 2) = (5 + 7) + 2 demonstrates the associative property, which states that the way numbers are grouped in addition does not change their sum.

Tags

CCSS.1.OA.B.3

What property is demonstrated by: 6(9 + 1) = 54 + 6?

• Zero

• Distributive

• Identity

• Commutative

Answer explanation

The equation 6(9 + 1) = 54 + 6 demonstrates the Distributive Property, which states that a(b + c) = ab + ac. Here, 6 is distributed to both 9 and 1.

Tags

CCSS.3.OA.B.5

Identify the property shown: 4(0) = 0.

• Identity

• Associative

• Zero

• Commutative

Answer explanation

The equation 4(0) = 0 demonstrates the Zero Property, which states that any number multiplied by zero equals zero. Thus, the correct choice is Zero.

Tags

CCSS.3.OA.B.5

Which property is used in: 8 + 9 + 2 = 8 + 2 + 9?

• Commutative

• Associative

• Distributive

• Zero

Answer explanation

The equation 8 + 9 + 2 = 8 + 2 + 9 demonstrates the Commutative Property, which states that the order of addition does not affect the sum. Here, the numbers 9 and 2 are rearranged, confirming this property.

Tags

CCSS.1.OA.B.3

What property is represented by: 4 + 0 = 4?

• Zero

• Identity

• Commutative

• Associative

Answer explanation

The equation 4 + 0 = 4 illustrates the identity property, which states that adding zero to a number does not change its value. Thus, the correct choice is Identity.

Tags

CCSS.1.OA.B.3

What is the algebraic equation for "seven more than the product of three and a number n"?

• 3n + 7

• 7n + 3

• 3 + 7n

• 7 - 3n

Answer explanation

The phrase 'seven more than the product of three and a number n' translates to the expression 3n + 7, where 3n represents the product of three and n, and adding 7 gives us the final expression.

Tags

CCSS.6.EE.A.2A

Answer explanation

To find the product of 7/12 and 9/16, multiply the numerators and denominators: 7 x 9 and 12 x 16 = 63/192. Simplifying 63/192 gives 21/64, the correct answer.

Tags

CCSS.5.NF.B.6

• 19

• 11

• 16

• 23

Answer explanation

To evaluate the expression 4c^2 + 3 for c = 2, substitute 2 for c: 4(2^2) + 3 = 4(4) + 3 = 16 + 3 = 19. Thus, the correct answer is 19.

Tags

CCSS.6.EE.A.2C

Evaluate the expression 2(x - y) + x for x = 3 and y = 1.

• 7

• 5

• 3

• 9

Answer explanation

Substituting x = 3 and y = 1 into the expression: 2(3 - 1) + 3 = 2(2) + 3 = 4 + 3 = 7. Thus, the correct answer is 7.

Tags

CCSS.6.EE.A.2C

Simplify the expression 7(x + 3) - 2(5x) using the distributive property and combining like terms.

• 7x + 21 - 10x

• 5x + 21

• -3x + 21

• 3x + 21

Answer explanation

Using the distributive property, expand: 7(x + 3) = 7x + 21 and -2(5x) = -10x. Combine like terms: 7x - 10x + 21 = -3x + 21. Thus, the simplified expression is -3x + 21.

Tags

CCSS.6.EE.A.3