How to find the distributive property

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ISEE Middle Level Quantitative Reasoning › How to find the distributive property

Questions 1 - 10
1

Explanation

First add the numbers in parentheses, then find the product:

Answer:

2

Explanation

First complete the subtraction inside the parentheses, and then multiply:

3

Solve using the distributive property:

Explanation

Multiply each numbers inside the parenthesis by 5:

Then add the products:

Answer:

4

Solve using the distributive property:

Explanation

First, multiply each number in parenthesis by 8:

Then solve:

Answer:

5

Explanation

First complete the addition in the parentheses, then multiply the two values:

11 (8 + 3)

= 11 (11)

= 121

6

Which is the greater quantity?

(a)

(b)

(a) and (b) are equal

(a) is greater

(b) is greater

It is impossible to tell from the information given

Explanation

Apply the distributive and commutative properties to the expression in (a):

The two expressions are equivalent.

7

is the additive inverse of . Which is the greater quantity?

(a)

(b)

(b) is the greater quantity

(a) is the greater quantity

(a) and (b) are equal

It is impossible to determine which is greater from the information given

Explanation

is the additive inverse of , so, by definition, .

.

8

Explanation

Subtract the terms inside the parentheses, and then multiply by the term outside of the parentheses:

9

Explanation

According to the order of operations, we must first complete the addition, and then the multiplication:

Answer:

10

Simplify the below:

This does not simplify

Explanation

We must use the distributive property in this case to multiply the 4 by both the 3x and 5.

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