AnswersFall 24 GMS Algebra Concepts and Connections AAdding and Subtracting Rational Expressions (Continued)

Adding and Subtracting Rational Expressions (Continued) — Unit test Answers

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1
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Mark is adding and . He finds the LCD to be 3x. What should he do next to find the sum?

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A
multiply and
Option A
B
multiply and
Option B
C
multiply
Option C
D
multiply
Option D
2
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What is the sum?

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

What is the product of and when g0?

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Option
Option A
B
Option
Option B
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Option
Option C
D
Option
Option D
4

Which equation is equivalent to = 35?

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A
= 175
Option A
B
x + 8 = 343
C
x + 8 = 21
D
x = 351
5

What is the quotient of ? Assume y0.

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Option
Option A
B
Option
Option B
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2
D
4
6

What is the value of the rational expression when x = 5?

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Option
Option A
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Option
Option B
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Option
Option C
D
Option
Option D
7

Which algebraic expression represents the phrase “seven more than half of a number”?

A
7 minus one-half x
Option A
B
Negative 7 + one-half x
Option B
C
One-half x + 7
Option C
D
Negative one-half x minus 7
Option D
8

What is the value of the rational expression when x = 3?

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Option
Option A
B
0
C
Option
Option C
D
undefined
9

The potential solutions to the radical equation are a = −4 and a = −1.Which statement is true about these solutions?

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A
The solution a = −4 is an extraneous solution.
B
The solution a = −1 is an extraneous solution.
C
Both a = −4 and a = −1 are true solutions.
D
Neither a = −4 nor a = −1 are true solutions.
10

Which property of real numbers is shown below?3 + ((-5) + 6) = (3 + (-5)) + 6

A
commutative property of addition
B
identity property of multiplication
C
associative property of addition
D
commutative property of multiplication
11

Which shows all the values of a that make the rational expression undefined?

Question illustration
A
a = 9
B
a = 3
C
a = –9 or a = 9
D
a = –3 or a = 3
12

Which rational expression has a value of 0 when x = –2?

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

Which expressions are equivalent to when x0? Select three options.

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Option
Option A
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Option
Option B
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Option
Option C
D
Option
Option D
E
Option
Option E
14

Solve the radical equation x – 7 = . Which statement is true about the solutions to the radical equation?

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A
There are no true solutions.
B
There are two true solutions.
C
There is one extraneous solution, with a value greater than 4.
D
There is one true solution, with a value greater than 6.
15

Which shows the expressions rewritten with the least common denominator? and

Question illustration
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and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
16

Misaka solved the radical equation x – 3 = but did not check her solutions.(x – 3)2 = x2 – 6x + 9 = 4x – 7x2 – 10x + 16 = 0(x – 2)(x – 8) = 0x = 2 and x = 8

Question illustration
A
x = 2
B
x = 8
C
x = 2 and x = 8
D
There are no true solutions to the equation.
17

Valentina is subtracting from . She finds the LCD to be 15y2. What is Valentina's next step?

Question illustration
A
multiply and
Option A
B
multiply and
Option B
C
multiply and
Option C
D
multiply and
Option D
18

Which of the following is an example of why irrational numbers are not closed under addition?

A
, and 4 is not irrational
Option A
B
, and 1 is not irrational
Option B
C
, and 0 is not irrational
Option C
D
–3 + 3 = 0, and 0 is not irrational
19

Which phrase represents the algebraic expression 5x - 9?

A
the product of five times a number and nine
B
the difference of nine times a number and five
C
the sum of five times a number and five
D
the difference of five times a number and nine
20

Which represents all the values of x that make the rational expression undefined?

Question illustration
A
x = –3
B
x = 7
C
x = –7 or x = 7
D
x = –3 or x = 3

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