Jeopardy MultiStep Inequalities Compound Inequalities Absolute Value Equations

Jeopardy Multi-Step Inequalities Compound Inequalities Absolute Value Equations Absolute Value Inequalities Two-Variable Linear Inequalities 100 100 100 200 200 200 300 300 300 400 400 400 500 500 500

100 Solve and graph, if possible. 4(x – 3) < 4 x + 6

200 Solve and graph, if possible. 3/2(6 d – 4) > -3(2 – 3 d)

300 Solve and graph, if possible. 2. 4 c + 8 – 8. 4 c < 3(2 c + 4)

400 Solve and graph, if possible. -2(3 m + 1) ≥ ½(10 – 12 m)

500 The charity that you volunteer for is selling potted daffodils in the spring to raise money. The charity has spent $250 on supplies and plans to sell them for $5 each. a. Write an inequality that gives the possible numbers d of daffodils the charity needs to sell in order for the profit to be positive. b. What are the possible numbers of daffodils the charity needs to sell in order for the profit to be positive? c. If the charity bought 55 daffodil bulbs, are they able to make a profit?

100 Solve and graph, if possible. 2 x + 4 ≥ 3 and x + 4 > 9

200 Solve and graph, if possible. 6 – x ≤ 4 and 4 x + 9 < -3

300 Solve and graph, if possible. 3 x – 8 < 7 and x + 7 < 3

400 Solve and graph, if possible. 2(x + 1) < 0 or 3 x – 5 > 4

500 You live 6. 5 miles from the basketball courts and 2. 25 miles from your friends house. Write an inequality that represents the distance between the basketball courts and your friend’s house. Write an inequality that represents the distance you travel if you go to your friend’s house and then to the basketball courts. Your friend’s house is somewhere on the inner circle and the basketball courts are somewhere on the outer circle.

100 Solve the equation, if possible. -8І10 – 3 xІ = 24

200 Solve the equation, if possible. -12 І15 – xІ – 3 = -9

300 Write and solve an absolute value equation using the absolute deviation formula. The absolute deviation of x from 2 is -8.

400 How does the graph of this equation compare to the graph of the parent equation? -8Іx + 2І – 9 = -41

500 How many solutions does the equation aІx + bІ + c = d have if a<0 and c=d? If a<0, d>0, and c<d?

100 Solve and graph, if possible. 6І2 x + 9І – 14 ≤ 16

200 Solve and graph, if possible. ¾І4 x – 4І – 5 > 10

300 Solve and graph, if possible. 3/5І10 – 5 xІ + 7 > 25

400 Solve and graph, if possible. -½І5 – 9 xІ + 4 ≤ -10

500 A feline’s body temperature is considered to be normal if it is 101. 55°F with an absolute deviation of 1. 55°F. Write an absolute value inequality that represents the normal temperature range. Solve the inequality. What is the normal temperature range?

100 Graph the inequality. y > -2

200 Graph the inequality. 0≤x+4

300 Graph the inequality. 2(y – 3) ≥ 3 x

400 Graph the inequality. 4 y + 3 > 3(x – 2)

500 You and your friends go to a bagel shop for breakfast. Together, you have $20 to spend. Each bagel costs $. 65 and each glass of juice costs $. 95. Let x represent the number of glasses of juice you can buy. Write and graph an inequality that describes the different number of bagels and glasses of juice that your group can afford. Can your group afford 8 bagels and 16 glasses of juice?