If a box of 55 syringes costs $660.00, which of the following is the cost of four syringes?
A. $51.00
B. $26.00
C. $32.00
D. $48.00
: the question requires we find the cost of four syringes.
If we let x be the cost of four syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes
Cross-multiply to solve for x
Rearranging the above
Divide both sides of the equation by 55
Thus, the cost of 4 syringes is $48.
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: A student performs the following estimations. 26+180210 115+391510 497+20242520 Based on these estimations, which of the following is the student’s estimate of 545+7501?
A. 8030
B. 8060
C. 8160
D. 8050
Answer Explanation
From the given estimations, we can find the exact sum after adding the given numbers and see the trend the student utilizes to find their estimates. The actual sum is as follows
26+180=
206115+391=
506497+2024=
2521From the above evaluation, the students round the exact sum to the nearest tens. So, in the problem we need to approximate 545+7501.
545+7501=8046
The exact sum is 8046 and the approximate value after rounding to the nearest tens is 8050.
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Q #2: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 9 feet and a hypotenuse of 19 feet? (Round to the nearest tenth.)
A. 16.7 feet
B. 16.0 feet
C. 17.4 feet
D. 8.4 feet
Answer Explanation
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes: The unknown length of the triangle is about 16.7 feet.
The length of the unknown side of the rectangle can be found by using the Pythagoras theorem. Letting the unknown side to be x, the labelled rectangle becomes:
The unknown length of the triangle is about 16.7 feet.
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Q #3: A circle has an area of 121π in2. Which of the following is the circumference of the circle in terms of pi (π)?
A. 11 π in
B. 22 π in
C. 44 π in
D. 5.5 π in
Answer Explanation
To solve this problem, first find the radius of the circle.
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Q #4: Which of the following values is the greatest?
A. 11/2
B. 5.4
C. 13/3
D. 6.25
Answer Explanation
Before we compare the values of the options, we convert the decimals to fractions.
5.4 becomes 54/10
6.25 becomes 625/100
Thus, the set of fractions is 11/2, 54/10, 13/3, 625/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.
11/2*300=1650
54/10*300=1620
13/3*300=1300
625/100*300=1875
From the above, 1875 is the greatest value which corresponds to 6.25. Therefore, 6.25 is the greatest value of all the choices given.
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Q #5: A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi ()?
A. 11.25 πin2
B. 29.57 πin2
C. 18.35 πin2
D. 20.25 πin2
Answer Explanation
We need to find the radius in order to find the area of the pizza.
Radius of pizza
The area of the pizza
But r=4.5
Thus, the area of the pizza is 20.25
in2.NOTE:
is used as is since values of pi may vary e.g. 3.14, 3.142, 22/7. Hence we use pi symbol to generalize. -
Q #6: Which of the following relationships represents a no correlation between two variables?
A. As a student’s class attendance decreases, the student’s overall grade remains the same
B. As the number of hours a person exercises decreases, the weight of that person increases
C. As the number of miles driven increases, the amount of the gasoline in the tank decreases
D. As the amount of water plant receives increases, the growth rate of the plant increase.
Answer Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Thus, the correct statement is a.
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Q #7: A couple dining at a restaurant receives a bill for $58.60. They wish to leave a 16% gratuity. Which of the following is the estimated gratuity?
A. $8.48
B. $6.40
C. $9.38
D. $7.00
Answer Explanation
In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:
- Is means equals
- Of means multiply
- What means unknown (variable)
If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:
So, the value of x=9.376 and to the nearest cent, x=9.38
There, a couple will leave a gratuity of $9.38.
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Q #8: Which of the following percentages is equivalent to the fraction below? 3/4
A. 57%
B. 7.5%
C. 65%
D. 75%
Answer Explanation
to convert fraction to percent, multiply the fraction with 100%. Therefore, the percent equivalent of 3/4 is
3/4*100%=75%
Thus, 3/4 is equal to 75%.
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Q #9: A sweater that normally sells for $78 is marked 15% off. Which of the following estimates the sale price of the sweater?
A. $12
B. $66
C. $22
D. $69
Answer Explanation
we are to find the selling price of the sweater from the marked price and the discount. The marked price is given as
Discount=mark off rate*original price
Discount=15%*$78
Convert 15% into a fraction, which become 15/100=0.15. Then
Discount=0.15*$78=$11.70
The selling price of the sweater will be the original price less the discount or mark off value. Then,
Thus, the approximate selling price of the sweater is $66.
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Q #10: If a box of 55 syringes costs $660.00, which of the following is the cost of four syringes?
A. $51.00
B. $26.00
C. $32.00
D. $48.00
Answer Explanation
: the question requires we find the cost of four syringes.
If we let x be the cost of four syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes
Cross-multiply to solve for x
Rearranging the above
Divide both sides of the equation by 55
Thus, the cost of 4 syringes is $48.
