Two-Step and Inequalities INSTRUCTION 1: INSTRUCTION 2: Classwork Solve, check and graph the following inequalities. 10 + 7x < 17 -6x 6 + 3x > -24 4(-7 + 3x) 32 – ≥ -1 + 3x -28 -4 2x + 5x 8 5(-7x + 8) 275 ≥ – ≤ ≤ -4x + 2 > -46 6x 8 > 1 + 3x x - – ≤ 3 + 5x + 3x 19 3x 9 > -41 + 7x + < ≤ – –x Write an inequality for each situation, then solve. You want to spend $20 for a taxi ride. Before you go anywhere, the taxi driver sets the meter the initial charge of $2. The meter adds $1.50 for each mile and you plan on giving a $2 tip, what is the farthest you can go? On a trip from New Jersey to Florida, your family wants to travel at least 436 miles in one day from 8am to 5 pm. You plan on only stopping for a total of 1 hour. What must your average speed be? Homework check and graph the following inequalities. 5x + 1 > 51 2x + 8 > -x -1 3 + x + 6x < -53 6x + 6 24 4(-3x -5) < -164 ≤ 2 + 2x 3x + 2 ≤ -6x 3 > -63 6(3x + 9) 126 – ≥ -8 + 7x 4x -52 ≤ 4 3x 5x x + – – ≥36
Two-Step and Inequalities INSTRUCTION 1: INSTRUCTION 2: Classwork Solve, check and graph the following inequalities. 10 + 7x < 17 -1 + 3x ≥ -28 -4x + 2 > -46 3 + 5x + 3x ≤ 19 -6x – 6 + 3x > -24 -4 – 2x + 5x ≤ 8 6x – 8 > 1 + 3x 3x – 9 > -41 + 7x 4(-7 + 3x) ≥ 32 5(-7x + 8) ≤ 275 x - ≤ –x + < Write an inequality for each situation, then solve. You want to spend $20 for a taxi ride. Before you go anywhere, the taxi driver sets the meter the initial charge of $2. The meter adds $1.50 for each mile and you plan on giving a $2 tip, what is the farthest you can go? On a trip from New Jersey to Florida, your family wants to travel at least 436 miles in one day from 8am to 5 pm. You plan on only stopping for a total of 1 hour. What must your average speed be? Homework check and graph the following inequalities. 5x + 1 > 51 6x + 6 ≤ 24 -6x – 3 > -63 4 – 3x – 5x ≥36 3 + x + 6x < -53 2 + 2x ≤ 3x + 2 -8 + 7x ≤ 4x -52 2x + 8 > -x -1 4(-3x -5) < -164 6(3x + 9) ≥ 126 x +
SOLVE%20Linear%20Equations%20and%20Inequalites-CW.docx