1. Solve each equation. 1. b – 8 = –22. –12 = x + 93. – = 14 4. 28 = x5. 12r = –72 4545 y7y7 6–21–98 35–6 Solving One-Step Equations ALGEBRA 1 LESSON 2-1 2-1

2. Solve each equation. 1. 3b + 8 = –102. –12 = –3x – 9 3. – + 7 = 144. –x – 13 = 35 5. What is the justification for the following step? 12 – 2y = 46 12 – 2y – 12 = 46 – 12 c4c4 –61 –28–48 Subtraction Property of Equality Solving Two-Step Equations ALGEBRA 1 LESSON 2-2 2-2

3. Solve each equation. 1. 4a + 3 – a = 242. –3(x – 5) = 66 3. + = 74. 0.05x + 24.65 = 27.5 n3n3 n4n4 7–17 1257 Solving Multi-Step Equations ALGEBRA 1 LESSON 2-3 2-3

4. Solve each equation. 1.3 – 2t = 7t + 42. 4n = 2(n + 1) + 3(n – 1) 3.3(1 – 2x) = 4 – 6x 4.You work for a delivery service. With Plan A, you can earn $5 per hour plus $.75 per delivery. With Plan B, you can earn $7 per hour plus $.25 per delivery. How many deliveries must you make per hour with Plan A to earn as much as with Plan B? 4 deliveries 1 no solution Equations with Variables on Both Sides ALGEBRA 1 LESSON 2-4 2-4 – 1919

5. 1.The sum of three consecutive integers is 117. Find the integers. 2.You and your brother started biking at noon from places that are 52 mi apart. You rode toward each other and met at 2:00 p.m. Your brother’s average speed was 4 mi/h faster than your average speed. Find both speeds. 3.Joan ran from her home to the lake at 8 mi/h. She ran back home at 6 mi/h. Her total running time was 32 minutes. How much time did it take Joan to run from her home to the lake? 38, 39, 40 your speed: 11 mi/h; brother’s speed: 15 mi/h about 13.7 minutes Equations and Problem Solving ALGEBRA 1 LESSON 2-5 2-5

6. Solve each equation for the given variable. 1. 3x + 2y = z; y2. = ; a 3. 3x + 4 = 2(3 – y); y 4.The formula v 2 = can be used to find the constant speed v of a satellite revolving around Earth in a circular orbit of radius r. G is a number known as the gravitational constant and M is the mass of Earth. Transform this formula to find the mass of Earth. a – b c d3d3 GM r M = v2rGv2rG Formulas ALGEBRA 1 LESSON 2-6 2-6 a = + b cd 3 y = z – x 1212 3232 y = – x + 1 3232

7. 1.Find the mean, median, and mode. Which measure of central tendency best describes the data? 49 52 53 56 62 61 55 52 2.Make a stem-and-leaf plot for the data above. 3.Your test grades are 83, 94, 86, and 91. What grade do you need to earn on your next test to have an average of 90? mean 55; median 54; mode 52; The mean best describes the data. 4|9 means 49 96 Using Measures of Central Tendency ALGEBRA 1 LESSON 2-7 2-7