Adding and Subtracting Expressions Answers

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Which expression is equivalent to (–3y – x) – (5y – 8x)?

A
–8y – 8x
B
–8y + 7x
C
2y – 7x
D
8y + 8x
2
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After simplifying, which expressions are equivalent? Select three options.

A
(3.4a – 1.7b) + (2.5a – 3.9b)
B
(2.5a + 1.6b) + (3.4a + 4b)
C
(–3.9b + a) + (–1.7b + 4.9a)
D
–0.4b + (6b – 5.9a)
E
5.9a – 5.6b
3

One week, Isabelle bought 2 bags of apples and 3 bags of oranges. The next week, she bought 1 bag of apples and 2 bags of oranges. If a represents the cost of each bag of apples and r represents the cost of each bag of oranges, which expression could Isabelle use to calculate the difference between the amounts she spent each week?

A
3 a minus r
Option A
B
3 a minus 5 r
Option B
C
(2 a minus 3 r) minus (a minus 2 r)
Option C
D
(2 a + 3 r) minus (a + 2 r)
Option D
4

What is the sum of (–2.1x + 3.7) and (5 + 4.9x)?

A
Negative 7.0 x + 8.7
Option A
B
Negative 2.8 x + 8.7
Option B
C
2.8 x + 8.7
Option C
D
7.0 x + 8.7
Option D
5

Katrina is asked to simplify the expression . She writes: Which property allows her to do this?

Question illustration
A
the associative property
B
the commutative property
C
the distributive property
D
the additive identity property
6

Felipe is planning a party. He has $50.00 to spend on sandwiches that cost $2.50 per person, $25.00 to spend on drinks that cost $1.50 per person, and $25.00 to spend on gift bags that cost $3.00 per person. Which expression could be used to show the amount of money he will have left over if x people attend the party?

A
50 + 7 x
Option A
B
100 minus 7 x
Option B
C
2.50 x + 1.50 x + 3.00 x
Option C
D
100 minus (2.50 x minus 1.50 x minus 3.00 x)
Option D
7

Carmen simplifies the expression . The coefficient of the variable y in her simplified answer is

Question illustration
A
4.
B
6.
C
10.
D
12.
8

Ella simplifies and says the result is b 5r. What error did Ella make?

Question illustration
A
Ella incorrectly combined the b coefficients. The correctly simplified expression is .
Option A
B
Ella incorrectly combined the b coefficients. The correctly simplified expression is .
Option B
C
Ella incorrectly combined the r coefficients. The correctly simplified expression is b – 5r.
D
Ella incorrectly combined the r coefficients. The correctly simplified expression is b 3r.
Option D
9

What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?

A
10.7a – 8.1b
B
10.7a 27.7b
Option B
C
18.1a 8.1b
Option C
D
18.1a 27.7b
Option D
10

Clara simplifies and says the result is . What error did Clara make?

Question illustration
A
Clara incorrectly combined the b coefficients. The correctly simplified expression is .
Option A
B
Clara incorrectly combined the r coefficients. The correctly simplified expression is .
Option B
C
Clara incorrectly combined the r coefficients. The correctly simplified expression is .
Option C
D
Clara incorrectly combined the b coefficients. The correctly simplified expression is .
Option D

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