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Math - Unit 2B – “Stuff” I Need to Know Learning Target 1: Determine if a value is a solution to an equation. Example 1: Determine whether the given value of the variable is a solution. w + 19 = 49 for w = 30 30 + 19 = 49 49 = 49 yes 116 = 144 – q for q = 38 116 = 144 – 38 116 = 106 no 12y = 84 for y = 7 12 7 = 84 84 = 84 yes 91 ÷ x = 7 for x = 12 91 12 = 7 7.583 = 7 no Learning Target 2: Solve one-step addition equations. Example 2A: Solve each equation. SHOW ALL WORK. x + 62 = 93 x = 31 27 = y + 15 y = 12 Example 2B: Write and solve an equation. SHOW ALL WORK. Emma paid $26 in all for a hammer and a screwdriver. The hammer cost $10. How much was the screwdriver? s + 10 = 26 s = 16 The screwdriver cost $16. Learning Target 3: Solve one-step subtraction equations. Example 3A: Solve each equation. SHOW ALL WORK. 15 = y – 7 y = 22 s – 19 = 12 s = 31 Example 3B: Write and solve an equation. SHOW ALL WORK. Ted bought a dolphin poster for $12. He now has $5. How much money did Ted take to the aquarium? m – 12 = 5 m = 17 He took $17 to the aquarium. Learning Target 4: Solve one-step multiplication problems. Example 4A: Solve each equation. SHOW ALL WORK. 27 = 9x x=3 2x = 18 x=9 21 = 3x x=7 6x = 24 x=4 Example 4B: Write and solve an equation. SHOW ALL WORK. Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last week. How many hours did she work last week? 8h = 96 h = 12 Cheryl worked 12 hours last week. Learning Target 5: Solve one-step division equations. Example 5A: Solve each equation. SHOW ALL WORK. s/6 = 7 s = 42 12 = q/7 q = 84 15 = d/5 n/4 = 28 d = 75 n = 112 Example 5B: Write and solve an equation. SHOW ALL WORK. There are 16 ounces in one pound. A box of nails weighs 4 pounds. How many ounces does the box weight? b/16 = 4 b = 64 The box weighs 64 ounces. Learning Target 6: Graph simple inequalities on a number line. Example 6: Graph each inequality on a number line. Learning Target 7: Solve & graph one-step inequalities. Example 7: Solve each inequality. Graph the solution on a number line. Learning Target 8: Write inequalities to solve real-world & mathematical problems. Example 8: Write an inequality to represent each situation. At the beginning of the school year, my children may spend no more than $50 on school supplies. s < 50 In order to earn a passing grade, you must earn at least a 70%. Students under age 16 may NOT drive a car. p > 70 a < 16 More than 200 people attended the basketball game. p > 200