AnswersSC-TX-TSIA2-MathematicsRational Equations

Rational Equations — Unit test Answers

0 verified answers
1
Free Preview

Which expression is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
Free Preview

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction negative 2 y + 5 x Over 3 x minus 2 y EndFraction
Option A
B
StartFraction 3 x minus 2 y Over negative 2 y + 5 x EndFraction
Option B
C
StartFraction x squared y squared Over (negative 2 y + 5 x) (3 x minus 2 y) EndFraction
Option C
D
StartFraction (negative 2 y + 5 x) (3 x minus 2 y) Over x squared y squared EndFraction
Option D
3

Which expression is equivalent to ?

Question illustration
A
StartFraction m minus 4 Over (m + 4) (m + 2) EndFraction
Option A
B
StartFraction (m + 4) (m + 2) Over m minus 4 EndFraction
Option B
C
StartFraction (m minus 4) (m + 2) Over m + 4 EndFraction
Option C
D
StartFraction m + 4 Over (m minus 4) (m + 2) EndFraction
Option D
4

What is the difference?

Question illustration
A
StartFraction 2 (x + 6) Over (x + 4) (x minus 4) EndFraction
Option A
B
StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction
Option B
C
StartFraction x minus 3 Over (x + 5) (x minus 4) EndFraction
Option C
D
StartFraction negative 2 (x minus 6) Over (x + 4) (x minus 4) EndFraction
Option D
5

What are the excluded values of x for ?

Question illustration
A
x = –7, x = 4
B
x = –7, x = 5
C
x = –5, x = 7
D
x = –4, x = 7
6

How many extraneous solutions does the equation below have?

Question illustration
A
0
B
1
C
2
D
3
7

Using V = lwh, what is an expression for the volume of the following prism?

Question illustration
A
StartFraction 4 (d minus 2) Over 3 (d minus 3)(d minus 4) EndFraction
Option A
B
StartFraction 4 d minus 8 Over 3 (d minus 4) squared EndFraction
Option B
C
StartFraction 4 Over 3 d minus 12 EndFraction
Option C
D
StartFraction 1 Over 3 d minus 3 EndFraction
Option D
8

Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be modeled by the following equation, where t is the number of minutes it would take to mow the lawn together.How long will it take Maxine and Jan to mow the lawn together?

Question illustration
A
30.0 minutes
B
45.0 minutes
C
67.5 minutes
D
135.0 minutes
9

Does the expression simplify to x?

Question illustration
A
No, because x3 – 1 can be factored as x(x2 – x + 1) and x2 – 1 can be factored as x(x – 1), so only x can be canceled.
B
Yes, because x3(x – 1) can be factored as x2(x – 1) and x2 – 1 can be factored as x(x – 1), so (x – 1) can be canceled.
C
No, because the –1 in the numerator and denominator is not a common factor and cannot be canceled.
D
Yes, because –1 in the numerator and denominator is a common factor and can be canceled.
10

What is the product?

Question illustration
A
StartFraction 4 n Over n + 1 EndFraction
Option A
B
StartFraction n Over n + 1 EndFraction
Option B
C
StartFraction 1 Over n + 1 EndFraction
Option C
D
StartFraction 4 Over n + 1 EndFraction
Option D
11

Which expression is equivalent to the expression below?

Question illustration
A
StartFraction 1 Over (m + 4) (m + 3) EndFraction
Option A
B
StartFraction 1 Over (m minus 4) (m minus 3) EndFraction
Option B
C
StartFraction m minus 4 Over m minus 3 EndFraction
Option C
D
StartFraction m + 3 Over m + 4 EndFraction
Option D
12

The excluded values of a rational expression are 2 and 5. Which of the following could be this expression?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.How long will it take Ted and Jacob to clear the field together?

Question illustration
A
12 minutes
B
50 minutes
C
1 hour 12 minutes
D
2 hours 30 minutes
14

Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts’s work? Step 1: Step 2: Step 3: Step 4:

Question illustration
A
In step 1, he did not correctly factor the denominator.
B
In step 2, he did not use the correct common denominator.
C
In step 3, he did not distribute the negative sign when he subtracted.
D
In step 4, he did not correctly subtract the numerator.
15

How can Ari simplify the following expression?

Question illustration
A
Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerator by the reciprocal of the denominator.
B
Write the numerator and denominator with a common denominator. Then divide the numerator by the denominator. To do this, multiply the numerators and multiply the denominators.
C
Divide the numerator and the denominator by a – 3. Then divide the numerator by the denominator.
D
Divide the numerator and the denominator by a – 3. Then simplify the numerator and simplify the denominator.
16

What is the solution to the equation ?

Question illustration
A
y = –4 and y = 4
B
y = 0
C
all real numbers
D
no solution
17

Which expression is equivalent to ?

Question illustration
A
StartFraction 2 a Over (2 a minus 1) squared EndFraction
Option A
B
StartFraction 50 a Over (2 a + 1) squared EndFraction
Option B
C
StartFraction (2 a minus 1) squared Over 2 a EndFraction
Option C
D
StartFraction (2 a + 1) squared Over 50 a EndFraction
Option D
18

What is the denominator of the simplified expression?

Question illustration
A
2
B
n
C
Option
Option C
D
Option
Option D
19

What is the sum?

Question illustration
A
StartFraction 8 Over x squared + x minus 6 EndFraction
Option A
B
StartFraction 5 x minus 12 Over x minus 3 EndFraction
Option B
C
StartFraction negative 5 x Over (x + 3) (x minus 3) EndFraction
Option C
D
StartFraction 5 x minus 12 Over (x + 3) (x minus 3)
Option D
20

Which expression is equivalent to divided by x + 1?

Question illustration
A
StartFraction 3 x Over x + 1 EndFraction times StartFraction 1 Over x + 1 EndFraction
Option A
B
StartFraction 3 x Over x + 1 EndFraction divided by StartFraction 1 Over x + 1 EndFraction
Option B
C
StartFraction x + 1 Over 1 EndFraction divided by StartFraction 3 x Over x + 1 EndFraction
Option C
D
StartFraction x + 1 Over 3 x EndFraction times StartFraction x + 1 Over 1 EndFraction
Option D

Did you find these answers helpful?

More from this Course

Instruction
24 verified answers

Instruction

Assignment
28 verified answers

Rational Equations

Instruction
20 verified answers

Instruction