Chapter 1

Simplify: \((5 x+1)(3 x-4)\) (A) \(15 x^2-17 x-4\) (B) \(-2 x-4\) (C) \(8 x-3\) (D) \(15 x^2+23 x-4\)

Which number equals 7 thousandths? (A) \(0.7\) (B) \(0.07\) (C) \(0.007\) (D) 7,000

A newspaper charges advertisers a total of \(\$ 5.50\) for the first ten words and \(\$ 0.70\) for each additional word. What is the cost of a 27word advert? A) \(\$ 6.20\) B) \(\$ 17.40\) C) \(\$ 18.90\) D) \(\$ 66.90\)

What is the radius (in cm) of a circle whose circumference happens to equal its area (in cm2 )? (A) 2 cm (B) 3 cm (C) 5 cm (D) 10 cm

What is the probability of tossing 5 heads in a row when using a fair coin? (A) \(\frac{1}{2}\) (B) \(\frac{1}{8}\) (C) \(\frac{1}{32}\) (D) \(\frac{5}{2}\)

The temperature at 5:00 a.m. was \(-11\) degrees. By 8:00 a.m., the temperature is \(-2\) degrees. If the temperature continues to rise at th same rate, what will the temperature be at 2:00 p.m.? (A) 7 degrees (B) 16 degrees (C) 21 degrees (D) 27 degrees

If sales tax is 6 percent, what would be the tax on a shirt that cost \(\$ 68.30\) ? Round your answer to the nearest cent. (A) \(\$ 4.09\) (B) \(\$ 4.10\) (C) \(\$ 4.58\) (D) \(\$ 4.59\)

. The dimensions of a rectangular prism are 9 inches wide by 18 inches long by 2 feet tall. What is the volume of the prism in cubic feet? (A) \(2.25\) (B) \(8.75\) (C) 36 (D) 324

If the lowest two scores are omitted, what is the new average score? (Round your answer to the nearest whole number) (A) 73 (B) 89 (C) 91 (D) 92

Simplify the expression: \((7 x-5 y+2 z)-(2 x-y+3 z)\) (A) \(5 x-6 y+5 z\) (B) \(5 x-4 y+5 z\) (C) \(5 x-4 y-z\) (D) \(9 x-4 y-z\)

If your daily commute equals 95 minutes, how long, in hours and minutes, do you spend commuting during a 5-day work week? (A) 1 hour, 35 minutes (B) 6 hours, 25 minutes (C) 7 hours, 55 minutes (D) 8 hours, 45 minutes

If the base of a triangle is 6 inches and its area is 60 square inches, what is the height of the triangle? (A) 5 inches (B) 10 inches (C) 20 inches (D) 180 inches

The speed of sound in air is 320 meters per second. If you see a flash of lightning and it takes 8 seconds before you hear the thunder, how many kilometers away was the lightning strike? (Assume that the light reaches you instantly.) (A) 2.56 kilometers (B) 4 kilometers (C) 40 kilometers (D) 2560 kilometers

What is the slope of the line that passes through the coordinates \((1,-7)\) and \((8,5)\) ? (A) \(-\frac{2}{7}\) (B) \(-\frac{7}{2}\) (C) \(\frac{12}{7}\) (D) \(\frac{7}{12}\)

On Monday, Andrea finished \(\frac{1}{4}\) of her homework assignment. On Tuesday, she completed \(\frac{1}{2}\) of the remaining work. What fraction of her assignment does Andrea still have left to complete? (A) \(\frac{1}{8}\) (B) \(\frac{1}{4}\) (C) \(\frac{3}{8}\) (D) \(\frac{5}{8}\)

Norman is determining what his gross pay at the end of the week should be. If he gets paid $13.15 per hour and works 18 hours, what should his gross pay be? (Note: You may not use a calculator.)

Fill in the blanks with the correct values to complete the sentence below: The mode of set A equals ____, whereas the median of set A equals

Simplify \(5 \times\left(91^0+3^2\right)\). A) 35 B) 45 C) 50 D) 500

What is the solution to the equation? $$ 5(x-2)+x=2(3-x) $$ (A) 2 (B) \(\frac{8}{7}\) (C) \({ }_4\) (D) \(\frac{7}{16}\)

Fred’s wallet contains coins with a total worth of $1.45. Suppose he has three times as many dimes as quarters and has exactly 7 nickels and no pennies. How many dimes does he have? (A) 2 (B) 3 (C) 6 (D) 9

The formula for the volume of a cylinder is \(V=\pi r^2 h\), where \(r\) is the radius of the base and \(h\) is the height of the cylinder. Which formula could be used to find \(h\) if you're given \(V\) and \(r\) ? (A) \(h=\frac{\pi r^2}{V}\) (B) \(h=V \pi r^2\) (C) \(h=\frac{V}{\pi r^2}\) (D) \(h=\frac{r^2}{\pi V}\)

Three friends are going to the theater. They arrive just in time to get the last 3 seats that are available together in a row. How many different seating arrangements can the friends sit in?

On a sunny day, a clock tower casts a shadow that is 50 feet long. At the same time, a nearby 3-foot-tall stick casts a shadow that is 2.5 feet long. What is the height of the clock tower? Round your answer to the nearest foot.

124\. The hypotenuse of a right triangle is 10 inches. If one of the legs of the triangle is 8 inches long, what is the length of the other leg? (A) 2 inches (B) 6 inches (C) inches (D) 40 inches

Which line would be parallel to the give (A) \(y=\frac{3}{7} x+9\) (B) \(y=-\frac{3}{7} x+\frac{1}{9}\) (C) \(y=-\frac{7}{3} x-9\) (D) \(y=\frac{7}{3} x-9\)

Lisa and Erica were investigating the relationship of their ages. They figured out that Erica’s age is currently 5 less than twice Lisa’s age. In addition, the sum of their ages is 73. How old are Erica and Lisa? (A) Erica is 47, and Lisa is 26. (B) Erica is 26, and Lisa is 47. (C) Erica is 20, and Lisa is 53. (D) There is not enough information to determine the answer.

Soup is sold in both rectangular cardboard cartons and large cylindrical cans. The carton has dimensions of 3 inches by 4 inches by 7 inches and costs \(4.20. The can has a radius of 3 inches and a height of 4 inches and costs \)6.79. Which is a better buy? (A) The can is a better value. (B) The carton is a better value. (C) Both containers offer the same value. (D) There is not enough information to determine the answer.

Tamara goes for a dental checkup every 6 months and gets her eyesight checked every 8 months. If she visited her dentist and her optician this week, how many months will it be until she visits them both in the same week again?

Meg can swim 4 laps in 11 minutes. How long should she plan to practice if she needs to swim 10 laps, assuming her speed is constant? (A) 4.4 (B) 15.7 (C) 22 (D) 27.5

If Barney’s strength continues to grow at the same rate, at what week will he be able to lift 100 pounds? (A) Week 25 (B) Week 30 (C) Week 35 (D) Week 50

Which of the following graphs shows all the possible numbers represented by the inequality \(30<15 x \leq 90\).

What is the probability that Daryl will pass two out of the three tests? Round your answer to the nearest whole percentage. (A) 30% (B) 46% (C) 52% (D) 190%

Using the information in the following table, estimate to the nearest hundred the total number of tickets sold at the movie theater last week. (Note: You may not use a calculator.) Movie Tickets Sold The Godmother 721 Moon Wars 391 The Silence of the Goats 813 A Clockwork Lemon 270 Pulp Fake News 602 (A) 2,600 (B) 2,800 (C) 3,000 (D) 3,100

Which of the following expresses \((x)(y)(z)^3\) in terms of \(p\) ? (A) 0 (B) \(p^{-2}\) (C) \(p^7\) (D) \(p^9\)

Sammy has a 12-inch by 9-inch photo that he wants to put in the frame. What is the length of the diagonal of the rectangular photo? (A) 8 (B) 13 (C) 15 (D) 84

Jeff has a different photo that he wants to put in the frame. If the wooden border of the frame (shown by the shaded region in the figure) is \(x\) inches wide all the way around, which of the following represents the area \(A\) of Jeff's photo (the non-shaded region)? (A) \(A=(15-x)(12-x)\) (B) \(A=(15-2 x)(12-2 x)\) (C) \(A=(15+2 x)(12+2 x)\) (D) \(A=(15+x)(12+x)\)

If 3 out of 8 drivers exceed the speed limit on a given stretch of highway, what is the chance that a speed camera will catch a speeder if it photographs a car at random? Give your answer to the nearest tenth of a percent. (A) 30.0% (B) 37.5% (C) 42.5% (D) 45.0%

If the base of a triangle is 8 inches and the area of the triangle is 48 square inches, what is the height of the triangle? (A) 6 inches (B) 8 inches (C) 10 inches (D) 12 inches

Which number equals 2 hundredths? (A) 0.2 (B) 0.02 (C) 0.002 (D) 200

A limo company charges \(25.50 for the first 8 miles plus an additional \)3.50 for each extra mile. What is the cost of a 13-mile limo ride? (A) \(29.00 (B) \)43.00 (C) \(45.50 (D) \)221.50

If \(\frac{2}{17} x=15\), what is \(\frac{6}{17} x\) ? (Note: You may not use a calculator.)

What is the location of the midpoint of the segment joining the two data points shown in the figure? A) \((0,2)\) B) \((1.5,0)\) (C) \((1.0,0.25)\) D) \((0.5,1)\)

Anne asks the butcher for \(1 \frac{3}{4}\) pounds of ham. The butcher places some ham on the digital scale, which reads \(1.95\). How much ham must the butcher remove to give Anne the amount that she asked for? (Note: You may not use a calculator.) (A) \(0.10\) pounds (B) \(0.20\) pounds (C) \(0.45\) pounds (D) \(0.70\) pounds

Tom’s gross weekly salary is \(840. His salary is taxed at 17%. What is Tom’s net salary? Round your answer to the nearest cent. (A) \)142.80 (B) \(672,90 (C) \)697.20 (D) $982.80

The distance between two planets is \(4,560,000,000\) miles. Express this in scientific notation. (A) \(4.56 \times 10^6\) (B) \(4.56 \times 10^7\) (C) \(456 \times 10^7\) (D) \(4.56 \times 10^9\)

A hiker walks 16 miles due north and then turns and walks 12 miles due west. How many miles is the hiker from his starting point?

Jeff currently weighs 214 pounds. He plans to go on a diet and lose 4.5 pounds per month. How many pounds should he weigh after 5 months of dieting? (Note: You may not use a calculator.) (A) 186.4 (B) 191.5 (C) 195.5 (D) 199.5

Which of the following lists the solutions to the equation \(x^2-x-20=0\) ? (A) 2 and \(-10\) (B) \(-2\) and 10 (C) 4 and \(-5\) (D) \(-4\) and 5

Last season, a soccer team won five times as many games as it lost, with 8 games ending in a draw. If there were 38 games in the season, how many games did the team win? (A) 5 (B) 6 (C) 24 (D) 25

What is the next term in the following sequence? $$ 1,1,2,3,5,8,13,21, \ldots $$