AnswersSS-Math 7Adding and Subtracting Expressions

Expanding Expressions Answers

12 verified answers2 views
1
Free Preview

Which can be used to expand the expression below?

Question illustration
A
associative property
B
commutative property
C
distributive property
D
subtracting
3

Which expression is equivalent to –2(5x – 0.75)?

A
10x – 0.75
B
10x + 0.75
C
–10x – 1.5
D
–10x + 1.5
4

Which expression is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
–6x + 1
E
–6x + 9
F
–6x – 9
7

Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.

Answer:

Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.

8

What is –9.2(8x – 4) + 0.7(2 + 6.3x) simplified?

A
–69.19x – 32.39
B
–69.19x + 38.2
C
–72.2x + 41.21
D
75x – 338.2
9

Which expressions are equivalent to ? Check all that apply.

Question illustration
A
-1
B
29
C
2 (three-fourths x + 7) + (negative 3) left-bracket one-half x + (negative 5) right-bracket
Option C
D
2 (three-fourths x) + 2 (7) + 3 (one-half x) + 3 (negative 5)
Option D
E
2 (three-fourths x) + 2 (7) + (negative 3) (one-half x) + (negative 3) (negative 5)
Option E
11

✔ 68910.5

A
6
B
8
C
9
D
10.5
12

Compare and contrast expanding and simplifying algebraic expressions with simplifying numeric expressions. For example, compare simplifying 3(x – 2) + (x – 1) with 3(5 – 2) + (5 – 1).

Answer:

With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.

Did you find these answers helpful?

Expanding Expressions Answers — SS-Math 7