New SAT Math Multiple Choice Practice Test 5

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Question 15 questions

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1. If 3y = y + 2, what is the value of 2y ?

  • A. 1
  • B. 2
  • C. 3
  • D. 4

2. Merry joined an online community that charges a monthly fee of $15. A one-time enrollment fee of $50 was charged when she joined. Which of the following represents the total amount of fees that Merry has paid to the community organizers after m months, in dollars?

  • A. 15m + 50
  • B. 15 + 50m
  • C. 15m - 50
  • D. (15 + 50)m

3. Rob has his favorite guitar tuned up and ready to bring to a performance by his cover band at a local venue Saturday. He decides at the last minute to bring x additional guitars, just in case his favorite guitar has an issue. If the total number of guitars that Robert brings to the performance can be modeled as x + 1, what does the "+ 1" account for in the expression?

  • A. It accounts for an additional guitar that Rob returns to his house and picks up in the middle of the performance.
  • B. It accounts for his favorite guitar, which Rob was bringing from the beginning.
  • C. It accounts for the number of additional guitars that Rob decided to bring.
  • D. It accounts for an additional non-guitar musical instrument that Rob decided to bring.

4. A group of 24 students was polled as to whether they enjoy biology class, chemistry class, both, or neither. The results are shown in the table below:

Biology Chemistry
Enjoy 14 18
Don't Enjoy 10 6

Given the above data, which of the following conclusions is true?

  • A. The ratio of those who enjoy biology class to those who enjoy chemistry class is 7:8.
  • B. The ratio of those who enjoy chemistry class to those who don't enjoy chemistry class is 9:4.
  • C. The ratio of those who enjoy biology class to those who don't enjoy chemistry class is 7:2.
  • D. The ratio of those who don't enjoy biology class to those who enjoy chemistry class is 5:9.

5. Dr. Goldberg, a noted dietician, mixes different solutions as part of her research into sugar substitutes. By weight, she mixes 40% of a sample of substitute A and 70% of a sample of substitute B to create substitute C. If Dr. Goldberg initially had 60 grams of substitute A and 110 grams of substitute B, then what would be the weight, in grams, of substitute C ?

  • A. 24
  • B. 77
  • C. 101
  • D. 170

6. Which of the following is equivalent to the expression x4 - x3 - x2 ?

  • A. x(x2 - x - 1)
  • B. x(x - x2 - x3)
  • C. x(x3 - x2)
  • D. x2(x2 - x - 1)

7. Officer Blake drives his squad car 1 mile per minute while patrolling local highways during his shift. If he has driven 480 miles by the end of his shift, how many total hours did he drive his car at the above rate?

  • A. 8
  • B. 12
  • C. 16
  • D. 20

8. In the inequality 37 ≤ - 2x + 1, what is the appropriate order of steps needed to solve the inequality for x ?

  • A. Add 1 to both sides, divide both sides by 2, and flip the inequality sign to ≥.
  • B. Subtract 1 from both sides, divide both sides by -2, and flip the inequality sign to ≥.
  • C. Add 1 to both sides, divide both sides by -2, and keep the original inequality sign.
  • D. Subtract 1 from both sides, divide both sides by 2, and keep the original inequality sign.

9. What is the value of (2x2 + 4x + 8) - (2x2 - 4x + 7) ?

  • A. 4x2 + 8x + 15
  • B. 2x2 + x + 1
  • C. 8x + 1
  • D. 8x + 15

10. As part of a project for his cartography elective, Adam climbs several hills to create a relief map for the woods surrounding his house. He records the vertical heights of the five hills he climbed at 55 feet, 42 feet, 38 feet, 50 feet, and 48 feet. For his project, Adam must convert his measurements to inches. If 1 foot = 12 inches, what is the measurement, in inches, of the tallest hill Adam will have on his map?

  • A. 660
  • B. 600
  • C. 576
  • D. 456

11.

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

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

12. 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

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

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

14. 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

15. 17s + 20t = 59
30s + 40t = 110

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

  • A.
  • B.
  • C.
  • D.