Chapter 1

. If \(f(x)=2 x-3\), what is the value of \(f(x)\) when \(x\) is \(-5\) ? (A) \(-13\) (B) \(-7\) (C) 7 (D) 11

What is the correct way of writing " \(x\) is less than 5 but greater than or equal to \(-3 " ?\) (A) \(x-5 \geq-3\) (B) \(5-x \geq-3\) (C) \(-3 \leq x<5\) (D) \(-3 \geq x>5\)

If \(x^2+3 x=10\), which of the following is a possible value of \(x\) ? (A) \(-2\) (B) 5 (C) 7 (D) \(-5\)

Jim rented a lawnmower from 9:00 a.m. until 5:30 p.m. He paid a total of \(\$ 53.04\). What was the hourly rental fee? (Note: You may not use a calculator for this problem.) (A) \(\$ 5.58\) (B) \(\$ 6.24\) (C) \(\$ 6.63\) (D) \(\$ 7.07\)

What is the value of \(6 x-3 y^2\) when \(x=12\) and \(y=-5\) ? (A) \(-153\) (B) 297 (C) \(-3\) (D) 147

Alex earns a weekly base salary of \(\$ 650\) as a car salesman. He also earns a \(9 \%\) commission on his monthly sales after the first \(\$ 10,000\). What was his total salary this month if he sold 7 cars whose average price was \(\$ 4,500\) each? (A) \(\$ 1,935\) (B) \(\$ 2,585\) (C) \(\$ 2,835\) (D) \(\$ 3,485\)

A human hair has an average diameter of \(2.5 \times 10^{-5}\) meters. What is the maximum number of human hairs that could fit side by side (without overlapping) on a microscope slide that is 50 millimeters wide? Write your answer in scientific notation. (A) \(2.0 \times 10^3\) (B) \(2.0 \times 10^5\) (C) \(2 \times 10^6\) (D) \(10^{-3}\)

Bob is planning a birthday party for his son and has a maximum budget of \(\$ 475\) to spend. He intends to rent a party room that costs \(\$ 125\) for the day. He expects a total of 35 people to attend the party and plans to provide them all with lunch. Which of the following inequalities shows how to calculate the amount \(x\) that Bob can spend on lunch for each person? (A) \(125 x+35 \geq 475\) (B) \(125 x+35 \leq 475\) (C) \(125+35 x \geq 475\) (D) \(125+35 x \leq 475\)

Four years ago, Jenny's annual salary was \(\$ 22,625\). This year, her salary was \(\$ 32,433\). What will her new salary be in 5 years if it continues to rise at the same linear rate? A) \(\$ 34,885\) B) \(\$ 42,241\) C) \(\$ 44,693\) D) \(\$ 55,058\)

Mr. White's math class has \(n\) students. Mrs. Black's math class has 22 students fewer than triple the number of students in Mr. White's class. Which expression shows the number of students in Mrs. Black's class in terms of \(n\) ? (A) \(22<3 n\) (B) \(3(n-22)\) (C) \(22-3 n\) (D) \(3 n-22\)

. Denise plots the data on a coordinate grid. She begins by plotting the data for Week 3 and Week 11. What are the coordinates of the two points that Denise plots? (A) \((11,3)\) and \((11.5,4.7)\) (B) \((3,11)\) and \((4.7,11.5)\) (C) \((3,4.7)\) and \((11,11.5)\) (D) \((4.7,3)\) and \((11.5,11)\)

What is the probability that it will snow on two out of three days? Round your answer to the nearest whole number. (A) 33% (B) 43% (C) 90% (D) 130%

Using the information in the following chart, estimate to the nearest thousand the total number of tickets sold at the concert hall. (Note: You may not use a calculator.) \begin{tabular}{ll} \hline \hline pcert & Tickets Sold \\ \hline Ghastly Girls & 4,721 \\ \hline Directions & 5,301 \\ \hline lor Speedy & 8,783 \\ \hline oon 6 & 270 \\ \hline Subdominants 11,802 \\ \hline \hline \end{tabular} (A) 27,000 (B) 29,000 (C) 31,000 (D) 31,877

Egypt's Great Pyramid is \(150 \mathrm{~m}\) tall and has a square base with a length of \(225 \mathrm{~m}\). What is the approximate volume of the pyramid in cubic meters? The formula for the volume \(V\) of a pyramid of base area \(B\) and height \(h\) is given by \(V=\frac{1}{3} B h\). (A) 500,000 (B) \(1,500,000\) (C) \(2,500,000\) (D) \(7,500,000\)

What is the arithmetic mean (average) of Set A? (A) 41 (B) 60 (C) 71 (D) 142

Four hundred eighty yards is what fraction of a mile? \((1 \mathrm{mile}=\) 1,760 yards) (A) \(\frac{27}{100}\) (B) \(3 \frac{2}{3}\) (C) \(\frac{2}{5}\)

The U.S. Senate has 100 senators. In 2015, only 20 senators were female. What is the ratio of female senators to male senators? (Note: You may not use a calculator.) (A) 1:5 (B) 1:4 (C) 4:5 (D) 4:1

Alex test drives four cars and records the distance traveled and the gallons of gas used in each case in the following table. Car Distance Driven (Miles) Gas Used (Gallons) A 102.3 11.5 B 78.1 7.9 C 57.8 6.2 D 142.9 15.9 Which car has the best gas mileage (miles per gallon)? (A) Car A (B) Car B (C) Car C (D) Car D

Suppose you roll the die 66 times. How many times are you likely to roll a 6? (A) 6 (B) 11 (C) 55 (D) 66

Suppose you roll the die three times. What is the probability of not rolling any 1s during the three rolls? Express your answer as a fraction reduced to its lowest terms.

Monthly sales of a particular brand of smartphone are inversely proportional to the number of occurrences of exploding cellphone batteries during that month. If 88 million phones were sold when there were 2 exploding batteries, how many cell phones would be sold during a month in which 22 batteries exploded? (A) 4 million (B) 8 million (C) 44 million (D) 176 million

The scale on a blueprint for a boat is 2 cm = 5 meters. If the length of the boat on the blueprint measures 7.5 cm, how long is the actual boat? (A) 12.50 m (B) 15.25 m (C) 18.75 m (D) 20.25 m

A New York City taxi charges an initial fee of \(\$ 2.50\) plus \(\$ 0.50\) for every \(\frac{1}{5}\) of a mile traveled. If Jim's total fare (not including tip) equals \(\$ 14.50\), how many miles did Jim travel? (A) \(4.8\) miles (B) \(5.8\) miles (C) 24 miles (D) 29 miles

Arnold invested \(700 in a savings account. After one year, his account balance was \)726.25. What percent annual interest did his bank pay?

Which of the following functions represents the total payroll \((P)\) that Becky's restaurant pays for all of these types of workers? (A) \(P=950 y+725 x\) (B) \(P=(950 x)(725 y)\) (C) \(P=950 x+725 y\) (D) \(P=(x+y)(950+725)\)

If \(\frac{2}{7} x=31\), what does \(\frac{4}{7} x\) equal? (A) \(15.5\) (B) 62 (C) \(108.5\) (D) 217

Jenny’s moving bill was \(450 before taxes and tips. If taxes are 6% and she also wants to tip her three professional movers \)20 each, what does her total bill equal? (A) \(497 (B) 498.20 (C) \)537 (D) $540.60

A car dealership offers \(45 \%\) off all its cars during its annual sale. essica pays \(\$ 7,150\) for her discounted vehicle. What was the original rice of the car? Round your answer to the nearest dollar. A) \(\$ 3,933\) B) \(\$ 10,368\) C) \(\$ 13,000\) D) \(\$ 15,889\)

On a sunny day, a tree casts a shadow that is 33 feet long. At the same time, a nearby 4-foot-tall mailbox casts a shadow that is \(5.5\) feet long. What is the height of the tree? Round your answer to the nearest foot. (A) 24 feet (B) 33 feet (C) 38 feet (D) 45 feet

The hypotenuse of a right triangle is 17 inches. If one of the legs of the triangle is 8 inches long, what is the length of the other leg? (A) 8 inches (B) 12 inches (C) 15 inches (D) 19 inches

If \(x^2-5 x=24\), which of the following is a possible value of \(x\) ? A) \(-8\) B) 3 C) 8 D) 24

\- \((x+y)^2\) is equivalent to which of the following? (A) \(x^2+y^2\) (B) \(x^2 y^2\) (C) \(x^2+y^2+2 x y\) (D) \(2 x+2 y\)

A cube has a surface area of 216 square inches. What is its volume in cubic inches? (A) 6 (B) 36 (C) 108 (D) 216

\(\sqrt{162}\) is equivalent to which of the following? A) \(3 \sqrt{2}\) B) \(9 \sqrt{2}\) C) \(54 \sqrt{3}\) D) \(2 \sqrt{81}\)

\- \(\sqrt{129}\) is between which numbers? (A) 10 and 11 (B) 11 and 12 (C) 14 and 15 (D) 64 and 65

Solve the following equation for \(x\) : \(19-2 x=-1\)

Fill in the blanks by choosing the correct values from the brackets: The value of the slope of the line is \([-13,-4,4,13]\), and the value of the \(y\)-intercept is \([-13,-4,4,13]\)

A company manufactures light bulbs. If 1 out of 25 light bulbs produced by the company is found to be defective, how many defective light bulbs will there be in a batch of 3,075 light bulbs? (A) 25 (B) 123 (C) 500 (D) 76,875

If the rectangle were enlarged by a factor of 3 (so that its sides became 3 times as long as they were previously), what would be the ratio of the new perimeter to the old perimeter? (A) 1:3 (B) 1:9 (C) 3:1 (D) 9:1

If rectangle ABCD were enlarged by a factor of 3 (so that its sides became 3 times as long as they were previously), what would be the ratio of the new area to the old area? (A) 1:3 (B) 1:9 (C) 3:1 (D) 9:1

What is the decimal equivalent of \(\frac{3}{8}\) ? (Note: You may not use a alculator.)

What is the product of \(\left(8 \times 10^6\right) \times\left(4 \times 10^{-3}\right)\) ? Write your answer in scientific notation. (Note: You may not use a calculator.) (A) \(3.2 \times 10^{-17}\) (B) \(3.2 \times 10^2\) (C) \(32 \times 10^3\) (D) \(3.2 \times 10^4\)

Select from the options to correctly fill in the blanks. Two lines that never meet are called lines, and their slopes are . Two lines that meet at right angles are called lines, and their slopes are Options: parallel perpendicular equal negative reciprocals

Which of the following expresses \(\left(\frac{x^2 \cdot y^4}{z^3}\right)^0\) in terms of \(p\) ? (A) 0 (B) 1 (C) \(p^{-5}\) (D) \(p\)

Which of the following expresses \((x)(y)^2(z)\) in terms of \(p\) ? A) 1 B) \(p\) C) \(p^7\) D) \(p^9\)

$$ f(x)=\frac{10-x^2}{x^2} $$ What is the value of \(f(x)\) when \(x\) is \(-3\) ? (A) 9 (B) 10 (C) \(\frac{1}{9}\) (D) \(\frac{19}{9}\)

Select from the options to correctly fill in the blanks. Angle 2 is a/an angle and is to angle 1 . Angle 5 is a/an angle and is to angle 8 . Options: acute obtuse reflex complementary supplementary congruent

A boat’s sail is in the shape of an isosceles triangle. If the largest angle of the sail is 90°, what is the measure of the smallest angle in degrees?

The angles of a triangle are in a ratio of \(5: 9: 14\). What is the measure of the largest angle? (A) \(25^{\circ}\) (B) \(45^{\circ}\) (C) \(90^{\circ}\) (D) \(140^{\circ}\)

A recipe for cookies calls for \(\frac{3}{8}\) cup of brown sugar to make 2 dozen cookies. If Sasha has \(4.5\) cups of brown sugar available and enough of all the other ingredients, how many dozen cookies can he make? (A) 9 dozen (B) 12 dozen (C) 15 dozen (D) 24 dozen