1. Joseph is three years youger than Michael s age, m. Write an expression for Joseph s age.

Transcription

1 Practice Test 3 Name: 1. Joseph is three years youger than Michael s age, m. Write an expression for Joseph s age. 2. The cost of a Big Mac is $3.49. Write an expression for the cost of x Big Macs. 3. Every day, Joseph and Michael drink a combined total of 10 cans of Coca-Cola. If Michael drinks y cans of Coke, write an expression for the number of cans Joseph drinks. 4. A local baby sitter charges a $20 per night fee and an additional $6 per hour. Write an expression for how much the baby sitter earn in one night for watching a child for x hours.

2 5. Joseph invests $300 less than twice as much money in the stock market than Michael does. Write an expression for the total amount of money that Joseph and Michael invest in the stock market. You will need to assign a variable and state what that variable represents. 6. One number is 4 less than 5 times another. Their sum is 8. Find both numbers. To receive full credit: (1) assign a variable and write what it represents, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the 7. An instructor takes 12 minutes to make an answer key to a test and 7 minutes to grade each students test. If the instructor takes 103 minutes to grade all the tests, how many students took the tests? To receive full credit: (1) assign a variable and write what it represents, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the 8. Two numbers are consecutive odd integers. The difference of twice the larger and three less than the smaller is eight. Find both numbers. To receive full credit: (1) assign a variable and write what it represents, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the

3 9. Joseph is comparing memberships to local gyms. One gym has an initiation fee of $150 and costs $30 per month. Another gym has an initiation fee of $75 but costs $37.50 per month. How many months would Joseph have to belong to each gym for their total costs to be the same? To receive full credit: (1) assign a variable and write what it represents, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the 10. Angles A and B are supplementary. If the measurement of angle A is 12 less than three times the measurement of angle B, find the measures of each angle. To receive full credit: (1) write an equation to represent the problem, (2) solve the equation and show all work, (3) answer the 11. The length of a certain rectangle is 6 inches less than twice the width. If the perimeter of the rectangle is 39 inches, what is the length and width of the rectangle. To receive full credit: (1) assign a variable and write what it represents, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the 12. The measurement of one angle of a triangle is 4 more than the measurement of the smallest angle. The measurement of the third angle is 8 more than the measurement of the smallest angle. Find the measures of all three angles. To receive full credit: (1) assign a variable and write what it represents, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the

4 13. A bookcase is built as shown below. The length of each shelf is 1 foot longer than the height of the bookcase. If a total of 33 feet of lumber was used to build the bookcase, determine the height and length of the bookcase. To receive full credit: (1) assign a variable and write what it represents, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the 14. The measurement of each of the larger angles of a rhombus are 16 greater than the measurement of each of the smaller angles. Find the measure of each of the four angles of the rhombus. To receive full credit: (1) assign a variable and write what it represents, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the 15. Two trains leave the same station heading in opposite directions. If the northbound train travels at 46 miles per hour and the southbound train travels at 52 miles per hour, how long until the two trains are 245 miles apart? To receive full credit: (1) set up the appropriate table, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the 16. Joseph and Michael go for a jog. Joseph jogs at 5 miles per hour, while Michael has a slower pace. After two hours, Joseph is 1 mile ahead of Michael. How fast is Michael jogging? To receive full credit: (1) set up the appropriate table, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the

5 17. Joseph invests a total of $10,000 into two accounts. One account pays 5% simple interest, and the other pays 6% simple interest. After one year, Joseph earns a total of $555 interest. How much did Joseph invest in each account? To receive full credit: (1) set up the appropriate table, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the 18. A local Apple store sells 20 ipads. The ipad 2 costs $399 and the ipad with Retina display costs $499. If the total revenue from the 20 ipads was $9280, how many of each version did the Apple store sell? To receive full credit: (1) set up the appropriate table, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the 19. A local candy shop sells a milk chocolate candy for $3.20 per pound. The shop also sells a white chocolate candy for $3.45 per pound. If the candy store wants to make a 25 pound mixture of milk chocolate and white chocolate that costs $3.35 per pound, how many pounds of each candy need to be used for the mixture? To receive full credit: (1) set up the appropriate table, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the 20. Ten liters of a 12% HCl solution is mixed with a 20% HCl solution to make a mixture that is 15% HCl. How many liters of the 20% HCl solution were used to make the mixture? To receive full credit: (1) set up the appropriate table, (2) write an equation to represent the problem, (3) solve the equation and show all work, (4) answer the