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Solving One-Step Equations ALGEBRA 1 LESSON 2-1 Solve each equation. 1. b – 8 = –2 6 2. –12 = x + 9 4. 28 = 4 x 5. 12r = –72 5 35 2-1 –21 –6 3. – y = 14 –98 7 Solving Two-Step Equations ALGEBRA 1 LESSON 2-2 Solve each equation. 1. 3b + 8 = –10 –6 2. –12 = –3x – 9 1 3. – c + 7 = 14 –28 4 4. –x – 13 = 35 –48 5. What is the justification for the following step? 12 – 2y = 46 12 – 2y – 12 = 46 – 12 Subtraction Property of Equality 2-2 Solving Multi-Step Equations ALGEBRA 1 LESSON 2-3 Solve each equation. 1. 4a + 3 – a = 24 7 2. –3(x – 5) = 66 –17 3. n + n = 7 12 3 4 4. 0.05x + 24.65 = 27.5 57 2-3 Equations with Variables on Both Sides ALGEBRA 1 LESSON 2-4 Solve each equation. 1. 3 – 2t = 7t + 4 – 1 9 2. 4n = 2(n + 1) + 3(n – 1) 1 3. 3(1 – 2x) = 4 – 6x no solution 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 2-4 Equations and Problem Solving ALGEBRA 1 LESSON 2-5 1. The sum of three consecutive integers is 117. Find the integers. 38, 39, 40 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. your speed: 11 mi/h; brother’s speed: 15 mi/h 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? about 13.7 minutes 2-5 Formulas ALGEBRA 1 LESSON 2-6 Solve each equation for the given variable. 1 3 2. a – b = d ; a 1. 3x + 2y = z; y y = 2 z – 2 x c 3 cd a= 3 +b 3. 3x + 4 = 2(3 – y); y y = – 3 x + 1 2 4. The formula v2 = GM r 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. v2r M= G 2-6 Using Measures of Central Tendency ALGEBRA 1 LESSON 2-7 1. Find the mean, median, and mode. Which measure of central tendency best describes the data? 49 52 53 56 62 61 55 52 mean 55; median 54; mode 52; The mean best describes the data. 2. Make a stem-and-leaf plot for the data above. 4|9 means 49 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? 96 2-7