Practice Test - Chapter 4
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1 Use the Distributive Property to write each expression as an equivalent algebraic expression. 1. 6(s + 10) 2. 9(a 4) 3. 5(3 b) 4. 11(m + 7) 5. ENTERTAINMENT Suppose you pay $15 per hour to go horseback riding. You ride 2 hours today and plan to ride 4 more hours this weekend. a. Write two different expressions to find the total cost of horseback riding. b. Find the total cost. a. To find the total cost, multiply the hourly rate by the total number of hours spent riding. The total cost can be expressed as 15(2 + 4) or 15(2) + 15(4). b. The total cost for horseback riding this weekend will be $90. Simplify each expression. 6. x + 3x esolutions Manual - Powered by Cognero Page 1
2 x x 8. 14n 3(n + 8) 9. 7b 5(b 4) 10. MUSIC Omar and Deb each have a digital music player. Deb has 37 more songs on her player than Omar has on his player. Write an expression in simplest form that represents the total number of songs on both players. Let x represent the number of songs on Omar s digital music player. If Deb has 37 more songs on her player than Omar has, x + 37 represents the number of songs that Deb has. Add these two expressions to find the total number of songs on both players. The total number of songs on both players is 2x esolutions Manual - Powered by Cognero Page 2
3 11. MULTIPLE CHOICE The table shows the prices of different items at a snack bar. After buying some items, you receive $3.75 in change. If you paid with a $10 bill, which equation could not be used to determine the amount of money you spent? A n = 10 B 10 n = 3.75 C = n D 10 + n = 3.75 A B This expression is equal to the amount of money you spent. This expression is equal to the amount of money you spent. C D Choice D is correct. This expression is equal to the amount of money you spent. This expression is not equal to the amount of money you spent because you can t spend a negative amount of money. esolutions Manual - Powered by Cognero Page 3
4 Solve each equation. Check your solution. 12. a ( 12) = t = g + ( 18) = 36 esolutions Manual - Powered by Cognero Page 4
5 15. b 15 = m = 4.15 esolutions Manual - Powered by Cognero Page 5
6 Solve each equation. Check your solution. esolutions Manual - Powered by Cognero Page 6
7 19. 75t = t = esolutions Manual - Powered by Cognero Page 7
8 d = 3.6 esolutions Manual - Powered by Cognero Page 8
9 24. GENETICS Approximately one-seventh of the people in the United States are left-handed. The population of the United States is about 300 million. Write and solve an equation to estimate how many people in the United States are left-handed. Let l represent the number of left-handed people, and p represent the total population. Rounded to the nearest million, there are about 43 million left-handed people in the United States. MEASUREMENT Use the table to write and solve an equation to find each quantity. 25. the number of cups in 7 pints There are 2 cups in 1 pint, so dividing the number of cups by 2 gives the number of pints. There are 14 cups in 7 pints. 26. the number of quarts in 16 pints In 1 quart there are 2 pints, so multiplying the number of quarts by 2 gives the number of pints. There are 8 quarts in 16 pints. esolutions Manual - Powered by Cognero Page 9
10 27. the number of cups in 2 gallons Each gallon has 4 quarts, and each quart has 2 pints, and each pint has 2 cups. So, in 1 gallon there are or 16 cups. Divide the number of cups by 16 to determine the number of gallons. There are 32 cups in 2 gallons. Solve each equation. Check your solution w = = 4g 4 esolutions Manual - Powered by Cognero Page 10
11 = j 1.9 = 3.5 esolutions Manual - Powered by Cognero Page 11
12 32. TRAVEL Mr. Carter is renting a car from an agency that charges $20 per day plus $0.15 per mile. He has a budget of $80 per day. Write and solve an equation to find the maximum number of miles he can drive each day. The total cost of renting a car is the sum of the daily fee and the product of the cost per mile and the number of miles driven. Let m represent the number of miles driven. Because the daily fee is $20 per day and 15 cents per mile, the total cost is m. Mr. Carter has $80 to spend, so set the expression equal to 80. With an $80 budget, Mr. Carter can drive a maximum of 400 miles per day. 33. MULTIPLE CHOICE Kenneth signed up to receive Internet service for $13 per month plus a $30 start-up fee. Which equation could be used to find the number of months he can receive Internet service for $134? F $ = $13m G $30 $13m = $134 H $ m = $134 J $30 + $13m = $134 The total cost of the Internet service is the sum of the start-up fee and the product of the monthly fee and the number of months. Let m represent the number of months. Because the start-up fee is $30 and the monthly fee is $13, the total cost is $30 + $13m. Set the expression equal to $134 to find the number of months of Internet service he can receive for $134. $30 + $13m = $134 Choice J is correct. esolutions Manual - Powered by Cognero Page 12
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