Algebra Study Guide Trimester 1 Benchmark

Algebra Study Guide Topics: using variables exponents and order of operations real numbers Adding, subtracting, multiplying and dividing rational numbers Matrices distributive property properties of numbers solving two step equations solving multi step equation equations with variables on both sides ratio and proportions equations and problem solving percent change inequalities and their graphs solving inequalities using addition, subtraction, multiplication and division solving multi step inequalities compound inequalities

Review problems The following review problems are found in textbook. Please put the page number and problem number for the problems. Copy each original problem, show all work and solve. p. 724 # 1 - 23 odd p. 725 # 33 - 37 odd p. 726 # 1 - 21 odd, 22, 23 - 35 odd p. 727 # 53 - 63 odd The above problems will be reviewed in class on Monday, November 18th p. 728 # 1 - 39 odd p. 729 # 55 - 65 odd p. 730 # 1 - 35 odd p. 731 # 53 - 65 odd The above problems will be reviewed in class on Tuesday, November 19th

More Practice The problems below will be reviewed in class on Wednesday, November 20th and Thursday, November 21st

1. Use the data in the table below to answer. a. Write the data in each table as a matrix. b. Add the matrices to find the total number of workers in each pay category for each work shift. c. How many weekend employees on the evening shift earn $6.50 per hour? d. How many weekend employees work the night shift? e. Suppose all employees work 8 hour shifts both Saturday and Sunday. How would you use the matrix to find the total wages of the weekend employees? f. Find the total wages of the weekend employees

Number of Employees Saturday Schedule Hourly Wage Shift $6.25 $6.50 $7.00 $7.50 Day 8 3 5 1 Evening 10 2 2 1 Night 4 1 0 1 Sunday Schedule Hourly Wage Shift $6.25 $6.50 $7.00 $7.50 Day 5 2 1 1 Evening 8 2 0 1 Night 2 1 0 1

2. As riders plunge down the hill of a roller coaster, you can approximate the height h, in feet, above the ground of their roller coaster car. Use the function where t is the number of seconds since the start of the descent. a. How far is the rider from the bottom of the hill after 1 second? 2 seconds? b. Does it take more than or less than 4 seconds to reach the bottom? Explain.

3. Suppose you buy 4 cans of tomatoes at $1.02 each, 3 cans of tuna for $0.99 each and 3 boxes of pasta of $0.52 each. Write an expression to model this situation.

4. Suppose you are buying soccer equipment: A pair of cleats for $31.50, a soccer ball for $14.97, and shin guards for $6.50. Use mental math to find the total cost. 5. Jane’s cell phone plan is $40 per month plus $.15 per minute for each minute over 200 minutes of call time. If Jane’s cell phone bill is $58.00, for how many extra calling minutes was she billed? Write and solve an equation to model the situation.

6. Bonnie and Tim do some yard work for their neighbor. The ratio comparing the amount of time each one works is 7 : 4. The neighbor pays them $88. If Bonnie worked more, how much should each of them receive?

7. An airplane left an airport flying at 180 mi/h. A jet that flies at 330 mi /h left 1 hour later. The jet follows the same route as the airplane on parallel altitudes. How many hours will it take the jet to catch up with the airplane?

8. Suppose that you are selling sweatshirts for a class fundraiser. The wholesaler charges you $8 for each sweatshirt. a. You charge $16 for each sweatshirt. Find the percent of increase. b. What is the percent increase if you doubled the price? c. What is the percent decrease if you cut the price in half?

10. Convert 54 miles per hour to feet per second.