# Properties Of Numbers, Expressions, And Solving Equations Quiz

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Nrosenstein
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Quizzes Created: 4 | Total Attempts: 3,954
Questions: 6 | Attempts: 180  Settings  Properties of Numbers, Expressions, and Solving Equations

• 1.

### Which answer demonstrates the distributive property?

• A.

5 • (6 • x) = 6 • (x • 5)

• B.

4(x + 3) = 4x + 12

• C.

3 + x = x + 3

B. 4(x + 3) = 4x + 12
Explanation
The correct answer demonstrates the distributive property because it shows the multiplication of a number outside the parentheses by each term inside the parentheses. In this case, the number 4 is being multiplied by both x and 3. This results in 4x + 12, which is the same as the left side of the equation.

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• 2.

### Write an equivalent expression to:           y + 9

9+y
9 + y
9+ y
9 +y
Explanation
The given expression, y + 9, can be rearranged by changing the order of the terms to 9 + y. This is because addition is commutative, meaning the order of the terms does not affect the result. Therefore, 9 + y is an equivalent expression to y + 9.

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• 3.

### What clue word would tell us to divide?

• A.

Remain

• B.

Less than

• C.

Split equally

• D.

Together

C. Split equally
Explanation
The clue word "split equally" suggests that the action of dividing is required. This phrase indicates that something needs to be divided into equal parts or portions.

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• 4.

### Write an expression that demonstrates this word sentence:                  Thirty less than x.

x - 30
x-30
x -30
x- 30
Explanation
The expression x - 30 represents the phrase "thirty less than x". This is because subtracting 30 from x gives a result that is 30 less than x. The variations x-30, x -30, and x- 30 all represent the same expression and are equivalent to x - 30.

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• 5.

### Solve this equation for x:3x = -9

• A.

11

• B.

-3

• C.

-11

• D.

-6

• E.

3

• F.

6

B. -3
Explanation
To solve the equation 3x = -9, we need to isolate x. We can do this by dividing both sides of the equation by 3. Dividing -9 by 3 gives us -3. Therefore, the value of x that satisfies the equation is -3.

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• 6.

• A.

-15

• B.

15

• C.

-10

• D.

10