|ACTUAL QUESTIONS AND VERIFIED
The length of a deck is 5 less than twice the width with a perimeter of 62 feet. What is the
width of the deck rounded to the nearest tenth?
A. 12.0
B. 12.3
C. 12.8
D. 13.1
CORRECT ANSWER
A. 12.0
This question is asking you to find the perimeter. Perimeter is the result of ADDING all the
sides of the shape. In this case, we have a rectangular deck. The length is 5 less than twice
the width, which is written 2w-5. And the width is just w.
When you add up all the sides, you get;
2w-5 + 2w-5 + w +w=62
1
@THE STUDY VAULT
,6w - 10 =62
Solve the equation by adding 10 to each side:
6w -10 =62
6w = 72
Divide each side by 6:
w = 12
Left and right side of the rectangle- w
Top and bottom of the rectangle- 2w-5
A car salesperson makes 30% commission from all sales during the month. His base pay is
$240 per month plus what he makes on sales commission. Which of the following
inequalities represents his pay at the end of the month so that he makes no less than $640?
A. .3x + 240 < 640
B. .3x + 240 > 640
2
@THE STUDY VAULT
,C. .3x + 240 <_ 640
D. .3x + 240 >_ 640
CORRECT ANSWER
D. .3x + 240 >_ 640
In this equation, you are being asked to write an equation, not solve an equation. Pay
attention to the very last line in the question, "..... he make NO LESS THAN $640?"
Immediately eliminate any answer choice with a less than sign (<), so A and C are out. Then
look at the greater than (>) signs in your answer choices. If he makes NO LESS than $640,
that means he can make exactly $640 and he can make more than $640. So, the correct
choice should be greater than or equal to (>_), and that makes D the correct choice.
Of the following, which number is greatest?
-12, - 10, -21/2, -Square root 145
A. -12
B. -10
C. -21/2
D. - square root 145
CORRECT ANSWER
D. - square root 145
3
@THE STUDY VAULT
, Pay attention to the negative numbers here. -10 is greater than any of the other numbers: -
12, -21/10 = -10.5, - square root 145 = -12.04
Put the following in order from least to greatest.
30%, 3/4, 1/3, .8
A. 1/3, 3/4, .8, 30%
B. 1/3, .8, 3/4, 30%
C. 30%, 1/3, .8, 3/4
D. 30%, 1/3, 3/4, .8
CORRECT ANSWER
D. 30%, 1/3, 3/4, .8
To put these numbers in order, convert them to decimals: 30% becomes .30, 3/4 becomes
.75, 1/3 becomes .33 repeating, and .8 becomes .80 (same .8). The order should be .30
(30%), .33 (1/3), .75 (3/4), .80 (.8).
My husband was your cell phone plan were each responsible for half the bill. The monthly
base charge for service is $82. On top of the base charge, their dirty chargers, which each
person is responsible for individually. At the end of the month, the total bill comes to $120.
If the husband is responsible for 60% of the data charges, how much does he owe for the
month?
4
@THE STUDY VAULT
The length of a deck is 5 less than twice the width with a perimeter of 62 feet. What is the
width of the deck rounded to the nearest tenth?
A. 12.0
B. 12.3
C. 12.8
D. 13.1
CORRECT ANSWER
A. 12.0
This question is asking you to find the perimeter. Perimeter is the result of ADDING all the
sides of the shape. In this case, we have a rectangular deck. The length is 5 less than twice
the width, which is written 2w-5. And the width is just w.
When you add up all the sides, you get;
2w-5 + 2w-5 + w +w=62
1
@THE STUDY VAULT
,6w - 10 =62
Solve the equation by adding 10 to each side:
6w -10 =62
6w = 72
Divide each side by 6:
w = 12
Left and right side of the rectangle- w
Top and bottom of the rectangle- 2w-5
A car salesperson makes 30% commission from all sales during the month. His base pay is
$240 per month plus what he makes on sales commission. Which of the following
inequalities represents his pay at the end of the month so that he makes no less than $640?
A. .3x + 240 < 640
B. .3x + 240 > 640
2
@THE STUDY VAULT
,C. .3x + 240 <_ 640
D. .3x + 240 >_ 640
CORRECT ANSWER
D. .3x + 240 >_ 640
In this equation, you are being asked to write an equation, not solve an equation. Pay
attention to the very last line in the question, "..... he make NO LESS THAN $640?"
Immediately eliminate any answer choice with a less than sign (<), so A and C are out. Then
look at the greater than (>) signs in your answer choices. If he makes NO LESS than $640,
that means he can make exactly $640 and he can make more than $640. So, the correct
choice should be greater than or equal to (>_), and that makes D the correct choice.
Of the following, which number is greatest?
-12, - 10, -21/2, -Square root 145
A. -12
B. -10
C. -21/2
D. - square root 145
CORRECT ANSWER
D. - square root 145
3
@THE STUDY VAULT
, Pay attention to the negative numbers here. -10 is greater than any of the other numbers: -
12, -21/10 = -10.5, - square root 145 = -12.04
Put the following in order from least to greatest.
30%, 3/4, 1/3, .8
A. 1/3, 3/4, .8, 30%
B. 1/3, .8, 3/4, 30%
C. 30%, 1/3, .8, 3/4
D. 30%, 1/3, 3/4, .8
CORRECT ANSWER
D. 30%, 1/3, 3/4, .8
To put these numbers in order, convert them to decimals: 30% becomes .30, 3/4 becomes
.75, 1/3 becomes .33 repeating, and .8 becomes .80 (same .8). The order should be .30
(30%), .33 (1/3), .75 (3/4), .80 (.8).
My husband was your cell phone plan were each responsible for half the bill. The monthly
base charge for service is $82. On top of the base charge, their dirty chargers, which each
person is responsible for individually. At the end of the month, the total bill comes to $120.
If the husband is responsible for 60% of the data charges, how much does he owe for the
month?
4
@THE STUDY VAULT
