Name ________________________________________________Period ________ MATH 7 - 13.4 Solve Two-Step Equations and Inequalities with Negatives Solve the equations. 1) −6x − 7 = 41 2) x + 5 = 12 −4 3) 4) 5) 6) 30 = − x + 8 7) 2x − 9 ≤ −1 8) −2x − 1 = −13 9) −5 > 10) 3x + 14 > 2 11) 8 − 2x = 20 x +8 =0 −7 x −9 6 32 = −5x + 7 − x + 15 = 19 Concept Check Circle the equation that is going to have a negative solution. Test Preparation Circle the correct response. What is the coefficient of x? 2x − 3 = 7 − x + 7 = 19 −2x − 3 = 7 a) 7 b) 9 −2x − 3 = −7 c) 1 d) -1 More Challenging A tank sprung a leak and the water level started to drop from 22 meters at a rate of 2 meters per hour. Write and solve an equation to determine how long it will take the water level to drop to 7 meters. Mathematical Reasoning A candle starts at 8 inches tall and burns 2 inches per hour. Write and solve an equation to find the number of hours (h) it was burning if it is currently 3 inch tall 22 meters Review Solve the inequality and graph the solution. 9x ≤ −72 Review Find all the possible values of x. x < −6 12 0
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