2024 SAT Test Math Practice 21


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6.

Sat math 31 1

In the figure above, if y = 40 and LN= 8, which of the following most closely approximates the length of MN?

A. 0.1
B. 9.53
C. 10.44
D. 12.45

Correct Answer: B

Answer Explanation:

Triangle legs LN and MN are opposite and adjacent, respectively, to ∠y. Therefore, from SOHCAHTOA, we need to use the tangent trigonometric function. Plugging in the values that the question gives us into the equation for tangent, we get tan 40° =​\( \frac{8}{MN} \)​ . Now, use your calculator to determine that the length of MN most closely approximates 9.53, which is (B).

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7. McCoy Max Speed, Inc. makes custom skateboards for its customers. Two wooden skateboards and three composite skateboards cost $650. Three wooden skateboards and one composite skateboard cost $450. How much would McCoy Max Speed charge a customer who purchases five wooden skateboards and four composite skateboards?

A. $500
B. $600
C. $1,000
D. $1,100

Correct Answer: D

Answer Explanation:

If you represent the wooden skateboards with a w and the composite skateboards with a c, you can write two equations based on the information given in the question: 2w + 3c = 650 and 3w + c = 450. It is possible to isolate one of the variables and solve these two equations by substitution, but in this case it is easier simply to stack the equations on top of each other and add them together as follows:
Sat math 31 2

Since the question asks for the price of five wooden skateboards and four composite skateboards, the answer is (D).

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8. The chart below shows data about the number of employees at Cuda Cola, a popular beverage company.

Sat math 31 3

Assuming the employee total grows at the same rate each year, and male and female percentages continue to decrease and increase by 5%, respectively, approximately how many male employees will work at Cuda Cola in 2015 ?

A. 1515
B. 1398
C. 1282
D. 1165

Correct Answer: D

Answer Explanation:

The question states that the number of employees increases at the same rate per year, so you can determine this numerical increase by subtracting one year’s total from the next year’s total. Subtracting the 2013 total from the 2014 total gives 2,110 – 1,890 = 220. To find the total in 2015, add 220 to the 2014 total: 2,110 + 220 = 2,330. The question also states that the male percentages continue to decrease at the same rate, which, based on the data in the table, is 5% per year. The percent male in 2014 was 55%, so the percent male in 2015 will be 50%. 50% of 2,330 can be expressed as or ​\( \frac{50}{100} \)​(2330) = 1,165, which is (D).

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9. John Croxley, the mayor of Black Rock, NY, is counting the number of restaurants that have opened in his town per month for the last seven months. He compiles the seven numbers into Set F, which contains the elements 4, 5, 11, 13, 16, 18, and x. If both the median and average (arithmetic mean) of Set F equal 11, what must be the value of x, the unknown number of restaurants that opened in Mayor Croxley’s town last month?

A. 9
B. 10
C. 11
D. 12

Correct Answer: B

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10. 17s + 20t = 59
30s + 40t = 110

In the system of equations above, what is the value of t in terms of s ?

A. ​\( \frac{2s}{5} \)​
B. ​\( \frac{s}{5} \)​
C. ​\( \frac{5}{2s} \)​
D. ​\( \frac{5}{s} \)​

Correct Answer: C

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