inequalities compoundAbsolute Value Coordinate plane Word problems

100 pts Graph x < -2 Open circle at -2, arrow to the left.

100 pts Graph the inequality: 3 < x < 10 Open circle at 3, open circle at 10, line in between

100 pts Solve: │x│= 9 x = 9 or x = -9

100 pts Graph: y < 2 Dotted horizontal line at 2, shade everything below.

200 pts Solve and graph: 3x ≤ 12 x ≤ 4

200 pts Graph the inequality: x > 2 or x ≤ -6 Open circle at 2, arrow to the right. Closed circle at -6, arrow to the left.

200 pts Solve: │x – 4│= 7 x = 11 or x = -3

200 pts Graph on a coordinate plane: x ≥ -6 Solid vertical line at -6, shade everything to the right.

300 pts Solve and graph: 4 – x > -8 x < 12

300 pts Solve and graph: 8 < 4x + 2 ≤ 12 1 ½ < x ≤ 2 ½

300 pts Solve: │3x + 6│- 4 = -2 x = -1⅓ or x = -2⅔

300 pts Graph: y > 2x - 4 Dotted line, y-intercept of -4, slope of 2, shade above.

400 pts Solve and graph: 2x + 5 ≥ -3x – 10 x ≥ -3

400 pts Solve and graph: -3x < -12 or 7x < 14 x > 4 or x < 2

400 pts Solve and graph: │2x + 4│≤ ≤ x ≤ 3

400 pts Graph: 3x – 4y > 12 Dotted line, y-intercept of -3, slope ¾, shade below.

500 pts Solve and graph: -(x – 2) < 2(2x + 6) x > -2

500 pts Solve and graph: -(x -3) > 11 or -2x +4 < 3x -11 x 3

500 pts Solve and graph: │3x - 6│+ 2 > 8 x > 4 or x < 0

500 pts Write an inequality for the graph: y > -2x + 3

100 pts You run a 10 km race in 45 minutes. Write an inequality to represent all of the runners that finished after you. x > 45

200 pts You are at a music store to buy some CDs. You have $45. Each CD costs $12. Write an Inequality to represent the number of CDs you can buy. 12x ≤ 45

300 pts You have $5 to spend on fruit for a picnic. Apples cost $0.99/lb and bananas cost $0.49/lb. Write an inequality to represent the amount of apples and bananas you can buy..99a +.49 b ≤ 5

400 pts An appliance store has $1000 to spend on CD and cassette players. The CD players cost $50 and the cassette players cost $20. Write an inequality to show the number of each the store can buy. 50x + 20y ≤ 1000

500 pts You ran a 10 km race in 50 minutes. Write an inequality for the average speed of the runners who finished after you. x <.2 km per minute or x < 12 km per hour