Literal Equations Answers

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What did you include in your response? Check all that apply.

A
x =
B
x is the reciprocal of the difference of a and b.
C
x is 1 over the difference of a and b.
D
x is the quotient of 1 and the difference of a and b.
3

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6

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7

Nathaniel writes the general form of the equation gm = cm + rg for when the equation is solved for m. He uses the general form to solve the equation –3m = 4m – 15 for m. Which expression shows what Nathaniel will actually evaluate?4 + 15 – 34 – 15 + 3–15 –

A
4 + 15 – 3
B
4 – 15 + 3
C
Option
D
–15 –
8

What is Lashandra’s error?She should have multiplied by 2 instead of dividing by 2. She should have multiplied by instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation.She should have squared the K when moving the v2 to the other side of the equation.

A
She should have multiplied by 2 instead of dividing by 2.
B
She should have multiplied by instead of dividing by 2.
C
She should have used the square root to move the squared term to the other side of the equation.
D
She should have squared the K when moving the v2 to the other side of the equation.
9

How can Victoria justify Step 3 of her work?Rewrite the expression on the left using the distributive property.Multiply both sides by x.Rewrite the expression on the left using subtraction.Divide both sides by x.

A
Rewrite the expression on the left using the distributive property.
B
Multiply both sides by x.
C
Rewrite the expression on the left using subtraction.
D
Divide both sides by x.
10

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Answer:

-360

11

Transform the equation to isolate x: ax = bx + 1. How is the value of x related to the difference of a and b?

Answer:

The value of x is the reciprocal of the difference a − b: x = 1/(a − b), provided a ≠ b.

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