New SAT Math Multiple Choice Practice Test 25: No Calculator Section

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1.

A company's market share is the percent of consumers who utilize the services or buy the products of that company. The pie chart above shows the different market shares of cable providers in a certain region. If the ratio of the market shares of Provider 1 to Provider 2 is 3:2, what is Provider 1's market share?

  • A. 24%
  • B. 30%
  • C. 36%
  • D. 42%

2. Which of the following number lines represents the solution to the inequality 3x + 29 > 5 – x?

  • A.
  • B.
  • C.
  • D.

3. Water is vital to human health. An average person should consume approximately 2.5 ounces of water per hour. However, because of the salt in it, seawater actually dehydrates the human body and should not be consumed. This is why boats must carry a supply of fresh water when embarking on long trips. Suppose a sailboat is traveling at an average speed of 4 nautical miles per hour with 3 people on board and the trip is 232 nautical miles. What is the minimum number of ounces of water the boat should stock before leaving?

  • A. 69.6
  • B. 145
  • C. 435
  • D. 1,113.6

4. If a = 0 and b < 0, then which of the following could be the graph of f(x) = (x – a)(x – b)?

  • A.
  • B.
  • C.
  • D.

5.

Increased physical activity has been linked to a lower incidence rate of diabetes. The scatterplot above shows the relationship between the percent of people in a certain country whose daily activity qualifies them as "inactive" and the incidence rate of diabetes in that country. The line of best fit for the data is also shown. Which of the following best represents the meaning of the y-intercept of the line of best fit in the context of this question?

  • A. The predicted incidence rate of diabetes when the entire country is considered active
  • B. The predicted incidence rate of diabetes when the entire country is considered inactive
  • C. The predicted percent of people who will be active when the incidence rate of diabetes is 0%
  • D. The predicted percent of people who will be inactive when the incidence rate of diabetes is 0%

6. At the grocery store, Gigi buys apples, a magazine, and a gallon of milk. The apples are priced per pound. In her state, there is no sales tax on food. If the total cost of her items is given by the function C(p) = 1.89p + 1.07(3.99) + 4.49, then the term 1.07(3.99) most likely represents

  • A. the cost of one gallon of milk.
  • B. the per-pound cost of the apples.
  • C. the cost of the magazine, including tax.
  • D. the cost of the magazine, not including tax.

7. When a homeowner hires a contractor to renovate a bathroom, the homeowner is charged for both labor and materials. By law, the contractor can charge sales tax on the materials, but not on the labor. If the contractor quotes the homeowner $3,000 for materials and $40 per hour for labor, and sales tax in the homeowner's state is 5.5%, which equation represents the total cost for the bathroom renovation if it takes the contractor h hours to complete the job?

  • A. c = (40h + 3,000)(1.055)
  • B. c = 1.055(40 + 3,000)h
  • C. c = 40h(1.055) + 3,000
  • D. c = 40h + 1.055(3,000)

8. A picture-framing shop sells ready-made frames and also does custom framing using different kinds and widths of wood or metal. The shop has a three-day sale. During the sale, for an 11-inch × 14-inch frame, a ready-made frame costs $12 and a custom frame costs $30. Over the course of the three days, the shop sells ninety-two 11 × 14 frames and collects $1,788. Solving which system of equations would yield the number of 11 × 14 ready-made frames r and the number of 11 × 14 custom frames c that the shop sold during the three-day sale?

  • A.
  • B.
  • C.
  • D.
City Cost per Square Foot
Detroit $62.45
Atlanta $74.19
New York City $288.58
San Francisco $420.99

9. In real estate, location is often the number one determinant of home prices. The table above shows the average price per square foot of houses in four cities. Assuming an average home size of 1,500 to 2,000 square feet, which inequality represents how much more in dollars a house in New York City would cost than in Detroit?

  • A. x ≥ 226.13
  • B. 62.45 ≤ x ≤ 288.58
  • C. 93,675 ≤ x ≤ 432,870
  • D. 339,195 ≤ x ≤ 452,260

10. If what is the value of n?

  • A. n = 1
  • B. n = 3
  • C. There is no value of n for which the equation is true.
  • D. There are infinitely many values of n for which the equation is true.

11.

The figure above shows the route that Max currently takes to work and back home every day. The city is planning to build an expressway that would cross through the city to help alleviate commuter traffic. Assuming an average gas consumption of 20 miles per gallon and a 5-day workweek, how many gallons of gas will Max save per week by taking the expressway to and from work each day instead of using his current route?

  • A. 2
  • B. 4
  • C. 8
  • D. 10.25

12.

The bar graph shows the percent of the U.S. population that was unemployed as of January 1 on each of the years shown. A governmental agency wants to use the 5-year mean of the data to estimate how many people were unemployed in a certain geographic area between 2010 and 2014. If the total adult population of the area was 250,000, approximately how many adults were unemployed in that area during the indicated time period?

  • A. 16,950
  • B. 20,150
  • C. 20,950
  • D. 104,750

13. Which of the following expressions is equivalent to

  • A.
  • B.
  • C.
  • D.

14. Use the data in the scatterplot and the line of best fit shown to answer the following question.

Which of the following values most accurately reflects the average rate of change of the data based on the line of best fit?

  • A.
  • B.
  • C.
  • D.

15. Use the data in the scatterplot and the line of best fit shown to answer the following question.

According to the graph, the data has been modeled using a line of best fit. Another researcher thinks that an exponential model may be a better fit. The table below shows the researcher's results after using a graphing calculator to perform a linear regression and an exponential regression on the data.

LinReg ExpReg
y = ax + b y = a × bx
a = 2.7 a = 1.251327
b = .68888889 b = 2.299749
r2 = .81876039 r2 = .84304281
r = .9048538 r = .9181736

Which of the following best explains which regression model is a better fit and why?

  • A. A linear model is a much better fit because its value of a is considerably higher.
  • B. A linear model is a slightly better fit because its value of r is slightly smaller.
  • C. An exponential model is a much better fit because its value of a is much closer to 1.
  • D. An exponential model is a slightly better fit because its value of r is slightly closer to 1.