AnswersOC27 MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006PLiteral Equations

Literal Equations — Unit test Answers

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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
2
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What is the solution to the equation ?

Question illustration
A
a = –5
B
a = –3
C
a = 3
D
a = 5
3

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
4

Given the equation what is the value of x?

Question illustration
A
x = y w + y minus 1
Option A
B
x = 2 y w + y minus 1
Option B
C
x = 2 y w + y minus 2
Option C
D
x = 4 y w + 2 y minus 2
Option D
5

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?

A
x less-than negative 5
Option A
B
x greater-than negative 5
Option B
C
x greater-than negative 1
Option C
D
x less-than negative 1
Option D
6

Which is the solution set of the compound inequality and

Question illustration
A
Negative 2 less-than x less-than 3 and three-quarters
Option A
B
Negative 2 less-than x less-than 6
Option B
C
2 less-than x less-than 6
Option C
D
2 less-than x less-than 3 and three-quarters
Option D
7

What is the solution to the equation 3(x – 1) – 2(2x + 1) = 8(x – 1)?

A
x =
Option A
B
x =
Option B
C
x =
Option C
D
x =
Option D
8

When is solved for w, one equation is Which of the following is an equivalent equation to find w?

Question illustration
A
w = StartFraction 8 x squared + 2 y Over y EndFraction
Option A
B
w = StartFraction 8 x squared minus 2 y Over y EndFraction
Option B
C
w = 8 x squared minus 3 y
Option C
D
w = 8 x squared minus y
Option D
9

The formula for the volume of a sphere is . What is the formula solved for r?

Question illustration
A
r = 3 uppercase V + 4 pi
Option A
B
r = RootIndex 3 StartRoot 3 uppercase V minus 4 pi EndRoot
Option B
C
r = RootIndex 3 StartRoot StartFraction 3 V Over 4 pi EndFraction EndRoot
Option C
D
r cubed = 3 uppercase V minus 4 pi
Option D
10

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?

A
$117
B
$680
C
$760
D
$820
11

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
12

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
13

The formula for the area of a trapezoid is When this equation is solved for , one equation is . Which of the following is an equivalent equation to find ?

Question illustration
A
b Subscript 1 Baseline= StartFraction 2 A minus b Subscript 2 Baseline h Over h EndFraction
Option A
B
b Subscript 1 Baseline = 2 A minus b Subscript 2 Baseline h
Option B
C
b Subscript 1 Baseline= StartFraction h Over 2 A minus b Subscript 2 Baseline h EndFraction
Option C
D
b Subscript 1 Baseline = h (2 A minus b Subscript 2 Baseline h)
Option D
14

Samantha swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 12 minutes. If the river flows at 4 mph, how fast can Samantha swim in still water?

A
3 mph
B
6 mph
C
7 mph
D
8 mph
15

Eight less than four times a number is less than 56. What are the possible values of that number?

A
x less-than 12
Option A
B
x greater-than 12
Option B
C
x less-than 16
Option C
D
x greater-than 16
Option D
16

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?

A
(negative infinity, negative 21)
Option A
B
(negative infinity, negative 21 right-bracket
Option B
C
Left-bracket negative 21, positive infinity)
Option C
D
(21, positive infinity)
Option D
17

Which of the following sets is closed under division?

A
natural numbers
B
non-zero integers
C
irrational numbers
D
non-zero rational numbers
18

Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for x?

A
3 x + 5 x = 4
Option A
B
3 x + 4 = 5 x
Option B
C
3 x = 4 + 5 x
Option C
D
3 x minus 4 = 5 x
Option D
19

Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?

A
2y - 12
B
2(y -12)
C
2(y + 12)
D
2y + 12
20

What is the value of x in the equation 0.2(x + 1) + 0.5x = –0.3(x – 4)?

A
Negative seven-halves
Option A
B
–1
C
1
D
Seven-halves
Option D

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