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1.1 SOLVING ONE STEP EQUATIONS WHAT WE WILL LEARN • Solve linear equations using addition and subtraction • Solve linear equations using multiplication and division • Use linear equations to solve real-life problems EX. 1 SOLVING BY ADDING/SUBTRACTING • Solve each equation • Do the opposite • X – 3 = -5 • +3 +3 • X = -2 • .9 = y + 2.8 • -2.8 -2.8 • -1.9 = y • Same sign, add and keep sign • Different sign, subtract and keep sign of bigger number YOUR PRACTICE • Solve • n + 3 = -7 • -3 -3 • n = -10 • Solve • -6.5 = p + 3.9 • -3.9 -3.9 • -10.4 = p EX. 2 SOLVE BY MULTIPLY/DIVIDE • Solve each equation • 1.3z = 5.2 • Divide by 1.3 • 1.3𝑧 1.3 5.2 1.3 = • z=4 • - 𝑛 5 = −3 • Multiply by -5 • Always want letter to be positive • −5 − • n = 15 𝑛 5 = −3 −5 • When multiplying or dividing two negatives or two positives, the answer will be positive • When multiplying or dividing a negative and a positive, the answer will be negative YOUR PRACTICE • Solve • 𝑦 3 • Solve • .05w = 1.4 = −6 • 3 𝑦 3 • y = -18 = −6 3 • .05𝑤 .05 = • w = 28 1.4 .05 EXS. 3 AND 4 STORY PROBLEMS • A discounted amusement park ticket costs $12.95 less than the original price p. You paid $44. Write and solve an equation to find the original price. • Ticket = original – 12.95 • 44 = p – 12.95 • +12.95 +12.95 • 56.95 = p • The temperature at 5 pm is 20 F. The temperature at 10 pm is 5 F. How many degrees did the temperature fall? • t = 20 – (-5) • t = 25