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# Cracking The SAT

## Educators   ### Math Test - Calculator - Problem 1

A certain homeowner uses a gas edger to clean up his lawn every time he mows. If the edger uses 160 milliliters of fuel each time, what is the maximum number of times the homeowner can edge his lawn with 8 liters of fuel? (1 liter = 1,000 milliliters)
A) 5
B) 50
C) 100
D) $1,000$ Brenda S.

### Math Test - Calculator - Problem 2

Assignment Choice for Two Physics Classes
The table above shows the number of students who chose to be graded on lab reports only or on lab reports and final exams in Dr. Soper’s and Mr. Coelho’s physics classes. What fraction of the students in Dr. Soper’s class chose to be graded on the lab report and final exam?
A) $\frac{3}{43}$
B) $\frac{5}{43}$
C) $\frac{3}{20}$
D) $\frac{3}{5}$ Brenda S.

### Math Test - Calculator - Problem 3

$$\left(4-a^{2}\right)-\left(2 a^{2}-6\right)$$
Which of the following expressions is equivalent to the one above?
A) $a^{2}-2$
B) $a^{2}+10$
C) $-3 a^{2}-2$
D) $-3 a^{2}+10$ Brenda S.

### Math Test - Calculator - Problem 4

The ordered pair (3, ?1) satisfies which of the following inequalities?
$$\begin{array}{l}{\text { I. } x+3 y>0} \\ {\text { II. } 2 x+3 y>2} \\ {\text { III. } x+y<0}\end{array}$$
A) I only
B) II only
C) I and III only
D) II and III only Brenda S.

### Math Test - Calculator - Problem 5

A psychology student randomly selected 300 people from a group of people who indicated that they preferred to work alone. Those 300 people were given a task to work on individually and then asked whether they were happy or unhappy while doing the task. Of those surveyed, 5% stated they were unhappy while doing the task. Which of the following inferences can appropriately be drawn from this survey result?
A) Few people who prefer working alone will be unhappy doing this task.
B) Few people who do not prefer working alone will be happy doing this task.
C) Less than 5% of people will be happy doing this task if they do not work alone.
D) Less than 5% of people will be unhappy doing this task if they work alone. Brenda S.

### Math Test - Calculator - Problem 6

According to the scatterplot, which of the following statements about the relationship between a well’s pH and its bicarbonate concentration is true?
A) A well with half as much bicarbonate as another well will have a pH
twice that of the other well.
B) Wells that have more bicarbonate tend to have higher pH.
C) Wells that have more bicarbonate tend to have lower pH.
D) The bicarbonate concentration of the well water is unrelated to its pH. Brenda S.

### Math Test - Calculator - Problem 7

A new well is discovered in West Texas with a bicarbonate concentration of 225 ppm. According to the line of best fit, which of the following best approximates the pH of the well water?
A) 7.1
B) 7.3
C) 7.4
D) 8.4 Brenda S.

### Math Test - Calculator - Problem 8

In the equation above, y = ?2 is one solution. If k is a constant, what is a possible value of k ?
A) $-13$
B) $-3$
C) 0
D) 5 Brenda S.

### Math Test - Calculator - Problem 9

Andrew works out for 30 minutes every other day. If he spends 35% of hi workout time one day waiting for the weight rack, how many seconds of that day’s workout did he spend waiting for the weight rack?
A) 630
B) 35
C) 21
D) 10.5 Brenda S.

### Math Test - Calculator - Problem 10

If 8x – 8yz + 2 = 74, what is the value of x – yz ?
A) 2
B) 6
C) 9
D) 16 Brenda S.

### Math Test - Calculator - Problem 11

A chef trimmed fat off a steak and was left with a steak weighing 8.80 ounces. If the weight of the fat was equal to 12 percent of the original weight, what was the original weight, in ounces, of the steak?
A) 8.92
B) 9.20
C) 10.00
D) 11.20 Brenda S.

### Math Test - Calculator - Problem 12

A backpacker is packing survival rations that consist of granola bars and packets of peanut butter. A granola bar has 470 food calories, and a packet of peanut butter has 90 food calories. The backpacker makes the survival rations using a total of 10 granola bars and packets of peanut butter combined, and the granola bars and packets of peanut butter have a total of 1,660 food calories. Which of the following systems of equations can be used to determine the number of granola bars, g, and packets of peanut butter, p, that are in the survival rations?
A) 280(g + p) = 1,660
g – p = 10
B) 90g + 470p = 1,660
g – p = 10
C) 90g + 470p = 1,660
g = 10 – p
D) 470g + 90p = 1,660
g = 10 – p Brenda S.

### Math Test - Calculator - Problem 13

Ten floorboards with equal widths laid down side-to-side cover a width of approximately 7$\frac{3}{4}$ feet. At this rate, which of the following is the closest to the number of boards laid side-to-side needed to cover a width of 32 feet?
A) 15
B) 20
C) 30
D) 40 Brenda S.

### Math Test - Calculator - Problem 14

George recorded his distance from home over a five-hour period; his distance and time are shown in the graph above. According to the graph, which of the following is NOT true about the five-hour period?
A) George’s distance from home increased at a constant rate during the first hour of the five-hour period.
B) George’s distance from home reached its maximum during the first hour.
C) George remained a constant distance from his home for one hour.
D) George was moving further from his home for a longer period of time than he was moving closer to his home. Brenda S.

### Math Test - Calculator - Problem 15

In the figure above, what is the value of a ?
A) 40
B) 60
C) 100
D) 130 Brenda S.

### Math Test - Calculator - Problem 16

$$y=-75 x+5,000$$
The equation above models the amount of money y, in dollars, remaining in Bo’s bank account x days after the start of the fall semester. The amount of money in Bo’s bank account is based on the money he earned over the summer and how much he spends per day during the fall semester. When the equation is graphed in the xy-plane, what does the slope of the graph represent in terms of the model?
A) The total amount in Bo's bank account
B) Daily spending of $\$ 5,000$C) Daily spending of$\$75$
D) The amount of money Bo earned over the summer Brenda S.

### Math Test - Calculator - Problem 17

The scatterplot above shows data for ten accounts opened by a company, along with the line of best fit. For the account that contains the least amount of money, which of the following is closest to the difference of the actual amount and the amount predicted by the line of best fit?
A) $\$ 200$B)$\$500$
C) $\$ 900$D)$\$1,200$ Brenda S.

### Math Test - Calculator - Problem 18

If $\frac{x}{3}=4$ and $x+y=32,$ what is the value of $x-y ?$
A) $-24$
B) $-8$
C) 12
D) 32 Brenda S.

### Math Test - Calculator - Problem 19

The scatterplot above shows the height in centimeters for both the drop and bounce of eight different balls of the same type. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in bounce height, in centimeters, for every increase of 100 centimeters in drop height?
A) 25
B) 20
C) 15
D) 10 Brenda S.

### Math Test - Calculator - Problem 20

Based on Formula B, what is w in terms of BMI ?
A) $w=5 B M I+25$
B) $w=5 B M I-25$
C) $w=\frac{5 B M I+100}{4}$
D) $w=\frac{5 B M I-100}{4}$ Brenda S.

### Math Test - Calculator - Problem 21

If both Formulas A and B give the same estimate for BMI, which of the following expressions is equivalent to 4w – 100 ?
A) $\frac{w}{h^{2}}$
B) $\frac{5 w}{h^{2}}$
C) $\frac{5 w}{4 h^{2}}$
D) $\frac{5 w+100}{4 h^{2}}$ Brenda S.

### Math Test - Calculator - Problem 22

The number of bacteria colonies h hours after the beginning of an experiment is given by the function C(h) = 3h – 2h + 20. What does the number 20 represent in the function?
A) The final rate of growth, in colonies per hour
B) The initial rate of growth, in colonies per hour
C) One less than the initial number of bacteria colonies
D) One more than the final number of bacteria colonies Brenda S.

### Math Test - Calculator - Problem 23

Agricultural Land as a Percent of Total Land Area, 2014
The World Bank measures the amount of land devoted to agriculture
among all 196 countries in the world. The results from 9 of the countries are given in the table above. The median percent of agricultural land for all 196 countries is 34.95%. What is the difference between the median percent of agricultural land for these 9 countries and the median for all 196 countries?
A) 1.15$\%$
B) 4.19$\%$
C) 9.65$\%$
D) 19.95$\%$ Brenda S.

### Math Test - Calculator - Problem 24

To ship figurines, the figurines are placed in a rectangular box and then small packing pellets are added. The base of the box has an area of 4.4 $\mathrm{in}^{2}$ , and the height of the box is 6.5 in. If the volume of the air in the box after the figures and pellets are added is $8.0 \mathrm{in}^{3},$ which of the following is closest to the combined volume of the figurines and pellets in the box?
A) 1.9 $\mathrm{in}^{3}$
B) 20.6 $\mathrm{in}^{3}$
C) 28.6 $\mathrm{in}^{3}$
D) 117.84 $\mathrm{in}^{3}$ Brenda S.
The economy of Argentina as measured by its Gross Domestic Product (GDP) is shrinking at a rate of 2.6% per year. In 2015, the GPD of Argentina was $630 billion. Which of the following functions represents Argentina’s GPD, A, in billions of dollars, y years since 2015 ? A)$A(y)=630-(1-0.26) y$B)$A(y)=630(1-0.26) y$C)$A(y)=630-(1-0.026) y$D)$A(y)=630(1-0.026) y\$ 