The length of a rectangular room is 9 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A=9x
B. A=2x+2(x+9)
C. A=x(x+9)
D. A=x+(x+9)
we are asked to find the area of the room from the given information.
The first step is to find equation relating the length of the room to its width. If we let the width of the room to be x. Then,
Width of the rectangle= x
Length of rectangle = (x+9)
Area of the rectangle, A= Length*width = (x+9)*x
A=x(x+9)
Therefore, the area of the rectangular room is x(x+9).
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: A person weighed themselves at 190 lb. Three months later they weighed themselves at 180 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)
A. 8%
B. 9%
C. 11%
D. 5%
Answer Explanation
Explanation: The percentage change in weight is found in three steps below:
Absolute change in weight = final weight - initial weightAbsolute change in weight = (|180 - 190| = |-10| = 10)
Relative change in weight = (frac{absolute change}{initial weight} = frac{10}{190} = 0.0526)
Percent change = relative change * 100%
Percent change = 0.0526 * 100% = 5.26%
The percent change in weight lost is 5.26%, which is about 5%.
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Q #2: Soft Drinks: Orange Two 24-packs for $20, One 24-pack for $15 Root Beer: One 24-pack for $18 Cream Soda: One 12-pack for $10 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 5 packs of cream Soda
B. 3 packs of Orange
C. 2 packs of Root Beer and 1 pack of Cream Soda
D. 2 packs of Orange and 1 pack of Cream Soda
Answer Explanation
To find the cheapest option, we find the amount the consume will spend for each option given:
2 packs of Orange and 1 pack of Cream Soda will cost $20 + $10= $30 (Choice D)
3 Packs of Orange will cost $20+$15 = $35 (Choice B)
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($18) + $10 = $46 (Choice C)
5 packs of cream Soda will cost 5($10)=$50 (Choice A)
Hence Choice D - 2 packs of Orange and 1 pack of Cream Soda is the correct answer. -
Q #3: A child has a bottle full of pennies, nickels, dimes, and quarters. There are three as many quarters as pennies, five times as many as nickels as pennies, and two times as many dimes as nickels. How many more dimes does the child have than nickels?
A. 4 times as many
B. 5 times as many
C. 2 times as many
D. 10 times as many
Answer Explanation
In this question, we need to find the ratio of dimes to quarters.
If we let x be number of pennies in the bottle. Then,
Number of quarters in the bottle = 3x
Number of nickels in the bottle = 5x
Number of dimes in the bottle =2(5x)=10x
Now relating dimes to quarters, we have
Thus, there are 2 times as many dimes as nickels in the box.
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Q #4: A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is green?
A. 5/12
B. ¼
C. ½
D. 1/3
Answer Explanation
The probability of an event is given by
To find the probability of drawing a green ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=5+4+3=12 balls
The probability of drawing a green ball from the bag is 5/12.
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Q #5: Which of the following is the value of x in the equation below? (left|3x-7 ight|-13=2)
A. x = 21/3, x=22/3
B. x = 7/3, x=9/3
C. x = 15/2, x=9/3
D. x = 22/3, x=-8/3
Answer Explanation
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Add 13 to both sides to isolate the absolute value term, resulting in ( left|3x-7 ight|= 15)
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Consider two cases:
- When (+(3x-7)) is positive, solve for x to get (3x = 15 + 7) then (3x=22) (finally x=frac{22}{3})
- When (-(3x-7)) is negative (but the absolute value makes it positive). Solve for x to get (-3x = 15 - 7) then (-3x=8) (finally x=- frac{8}{3})
So, there are two possible solutions: (x=frac{22}{3} or x=- frac{8}{3})
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Q #6: Which of the following is the decimal equivalent of 9/25?
A. 36
B. 0.36
C. 3.6
D. 0.25
Answer Explanation
9/25 is the same as 9÷25.
Using the calculator, we get 0.36.
Thus, 9/25 in decimal form is 0.36.
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Q #7: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:10. Which of the following is the minimum length of a ramp needed to provide access to a door that is 2.3 feet above the sidewalk?
A. 23 feet
B. 14 feet
C. 32 feet
D. 30 feet
Answer Explanation
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Q #8: Ann’s mother is twelve less than 2 times Ann’s age. Which of the equations represents Ann’s mother’s age (p) as it relates to Joe’s age (q)?
A. p=12-2q
B. q=2p-12
C. p=2q-12
D. q=12-2p
Answer Explanation
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Q #9: Which of the following is the best approximation of 15 times the positive square root of 33?
A. 78.5
B. 44.7
C. 156.2
D. 86.2
Answer Explanation
we use the calculator to determine the positive square root of 33, which is then multiplied by 15.
Using the calculator,
Multiplying the square root above with 15 becomes
The approximate value is 86.2.
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Q #10: Soft Drinks Orange Two 24-packs for $20; one 24-pack for $15 Root Beer One 24-pack for $18 Cream Soda One 12-pack for $10 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 2 packs of Orange and 1 pack of Cream Soda
B. 3 packs of Orange
C. 2 packs of Root Beer and 1 pack of Cream Soda
D. 5 packs of cream Soda
Answer Explanation
To find the cheapest option, we find the amount the consume will spend for each option given.:
2 packs of Orange and 1 pack of Cream Soda will cost $20 + $10 = $30
3 Packs of Orange will cost $20+$15=$35
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($18)+$10= $46
5 packs of cream Soda will cost 5($10)=$50
From the above evaluation, the cheapest option will cost the consumer $30.
Thus, buying 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
