Mid-Year Review: Unit 1

What property is this?
9(b + 0.5) = 9b + 4.5

• Commutative

• Associative

• Distributive

• Additive Inverse

Answer explanation

The given equation demonstrates the distributive property, which states that multiplying a number by a sum is the same as multiplying the number by each term in the sum and then adding the products. In this case, 9 is being multiplied by (b + 0.5), resulting in 9b + 4.5.

What property is this?
(a+13)+4 = a+(13+4)

• Associative

• Commutative

• Additive Identity

• Distributive

Answer explanation

The property demonstrated in this equation is the Associative property. It states that the grouping of numbers does not affect the result of addition.

What property is this?
38 + (-38) = 0

• Additive Identity

• Additive Inverse

• Property of Zero

• Commutative

Answer explanation

The property being demonstrated here is the Additive Inverse property. When you add a number to its additive inverse, the result is always zero.

What is the ADDITIVE INVERSE of
-7

• -7

• ^-1/₇

• ¹/₇

• 7

Answer explanation

The additive inverse of -7 is 7 because when you add -7 and 7, you get 0. Therefore, 7 is the correct choice.

What is the MULTIPLICATIVE INVERSE of
8

• -8

• ^-1/₈

• ¹/₈

• 1

Answer explanation

The multiplicative inverse of 8 is 1/8 because when you multiply 8 and 1/8, the result is 1, which is the identity element for multiplication.

Classify the Number: -23

• Rational

• Real, rational, integer

• integer

• Real, irrational, whole

Answer explanation

The number -23 is a real number because it can be represented on the number line. It is also a rational number because it can be expressed as a fraction. Additionally, it is an integer because it is a whole number without any fractional or decimal part.

-14 could NOT be which type of number?

• Integer

• Real

• Rational

• Natural

Answer explanation

The number -14 is not a natural number because natural numbers are positive whole numbers. -14 is negative.

Classify √35.

• Rational, Integer

• Whole, Integer, Rational 

• Irrational, Integer

• Irrational

Answer explanation

The square root of 35 is an irrational number because it cannot be expressed as a fraction or a terminating or repeating decimal.

Classify 0

• Whole

• Integer

• Rational

• All of the above

Answer explanation

The correct choice is 'All of the above' because it includes all possible classifications: whole, integer, and rational numbers.

Is -5 a rational number?

• yes

• no

Answer explanation

Yes, -5 is a rational number because it can be expressed as a fraction -5/1, where both the numerator and denominator are integers.