AnswersPARTA - EVP PGCPS ALGEBRA 2 OC FALL2026 - 793033Multiplying and Dividing Rational Expressions

Rational Equations Answers

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21
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What is the solution to the equation ?

Question illustration
A
h = eleven-thirds
Option A
B
h = 5
Option B
C
h = 7
Option C
D
h = twenty-one-halves
Option D
22
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Kent multiplies both sides of the equation below by an expression.Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?

Question illustration
A
k squared minus 8 k minus 12 = 0
Option A
B
k squared + 8 k + 12 = 0
Option B
C
k squared minus 8 + 12 = 0
Option C
D
k squared minus 8 k + 12 = 0
Option D
23

Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes 2 hours longer than Juan, who picks up litter for 2 miles. If Juan spent x hours picking up litter, the following equation models the situation.How long did Yumi spend picking up litter?

Question illustration
A
1 hour 20 minutes
B
3 hours 20 minutes
C
4 hours
D
6 hours
24

Consider the graph showing two functions. Which answer can be used to find the solution to the system of equations?

Question illustration
A
mc030-2.jpg
Option A
B
mc030-3.jpg
Option B
C
mc030-4.jpg
Option C
D
mc030-5.jpg
Option D
25

Yumi and Juan pick up litter along the highway at the same rate. Yumi picks up litter for 3 miles and takes 2 hours longer than Juan, who picks up litter for 2 miles. If Juan spent x hours picking up litter, the following equation models the situation.How long did Yumi spend picking up litter?

Question illustration
A
1 hour 20 minutes
B
3 hours 20 minutes
C
4 hours
D
6 hours
26

Kent multiplies both sides of the equation below by an expression.Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?

Question illustration
A
k squared minus 8 k minus 12 = 0
Option A
B
k squared + 8 k + 12 = 0
Option B
C
k squared minus 8 + 12 = 0
Option C
D
k squared minus 8 k + 12 = 0
Option D
27

A student solves the following equation for all possible values of x:His solution is as follows: Step 1: 8(x – 4) = 2(x + 2)Step 2: 4(x – 4) = (x + 2)Step 3: 4x – 16 = x + 2Step 4: 3x = 18Step 5: x = 6He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0.Which best describes the reasonableness of the student’s solution?

Question illustration
A
His solution for x is correct and his explanation of the extraneous solution is reasonable.
B
His solution for x is correct, but in order for 6 to be an extraneous solution, both denominators have to result in 0 when 6 is substituted for x.
C
His solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.
D
His solution for x is incorrect. When solved correctly, there are no extraneous solutions.

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