Symmetry Answers

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1
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Simplify 3 – b(7b + 2) + 3b – (11 – b).

A
-7b2 + 2b - 10
B
-7b2 + 2b - 8
C
8b - 6
D
-5b - 8
2
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What is the first step in simplifying3 – b(7b + 2) + 3b – (11 – b)?

A
Combine all like terms.
B
Simplify inside the parentheses.
C
Distribute the –b and –1 to the terms in the parentheses.
D
Subtract 3 – b.
3

Simplify 7x + (x – 4)(x + 5) – 5x.

A
x2 + x – 20
B
x2 + 3x – 20
C
x2 - 3x – 20
D
x2 – x – 20
7

Simplify –x(6x5)2(–2y6)(y).

A
–72x11y7
B
72x11y7
C
–12x11y7
D
12x11y7
10

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51

Complete the steps for simplifying the given expression.Step 1: Step 2: Step 3: Step 4: The expression simplifies to – 3x2 – 8x + 4.

Question illustration
Answers:
Selection 1:Find the quotient.
Selection 2:Subtract the result from 1.
Selection 3:Multiply the result by –2.
Selection 4:Add the result to 4 + x2.
52

Step 2:

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Step 3:

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79

Which sentence best describes Marc’s error?

A
He divided incorrectly.
B
He did not work from the inside out.
C
He combined terms that were unlike.
D
He did not distribute the negative sign.
81

Raul simplified the expression, as shown below.–[3h + 7h(2 – h)] = –[10h(2 – h)] = –[20h – h] = –19hDescribe the error(s) in Raul’s work.

Answer:

Raul should have distributed 7h through (2 − h) before combining terms. He also failed to multiply 10h by −h; that product is −10h². The correct simplification is −17h + 7h².

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