Solving Equations Solving Inequalities Compound Inequalities Absolute Value
Solving Equations Solving Inequalities Compound Inequalities Absolute Value Word Problems 1 pt 1 pt 2 pt 2 pt 3 pt 3 pt 4 pt 4 pt 5 pt 5 pt
Solve the following equation 5 – 2 x = 3 x + 5
What is x=0
Solve the following equation 2/3(3 x + 18) = 5 x - 9
What is… x=7
Solve the following equation ¾(4 x – 16) = 3 x - 12
What is… x is an element of ALL REALS
Solve the following equation 14 – 6(3 x – 5) – 3 – 2(x + 14) = -6(3 x – 1) + 21 - x
What is… x = -14
Solve the following equation 10 – 8(3 x + 4) + 6 – 2(2 x – 1) + 5 x = -20 + 3(4 x – 10) – 21 x
What is… x = 18/7
Solve the following inequality and state the solution set -43 – 2 x > -3
What is… {x : x < -20}
Solve the following inequality and state the solution set -12 x + 8 > 3(-9 x + 1)
What is… {x : x > -1/3}
Solve the following inequality and state the solution set -2(x + 4) + 8 x > 6 x - 4
What is… { } or No solution
Solve the following inequality and state the solution set -12 < 3 x – 18 5
What is… { x : x > 10 }
Create your own inequality where the answer is x is an element of all Real Numbers
Answers vary…
Write the solution sets of the two graphs provided below.
What is… {x: 2<x<4} {x : x < 7 OR , x > 11}
Write the final solution set for the following compound inequality x – 1 > 7 OR 13 > 1 - x
What is… x >-12
Write the final solution set for the following compound inequality 5 x – 1 < 6 x + 4 < 9 x + 4
What is… {x: x>0}
Write the final solution set for the following compound inequality 15 – 7 x < -6 OR 6 x – 3 < -6
What is… { x : x < -1/2 or x > 3 }
Write the final solution set for the following compound inequality 2 – 3(2 x – 1) + x < 8 x + 1< 4 – (x – 8) + 16
What is… { x : 4/13 < x < 3 }
Solve the following equation 3 x + 5 - 4 = 22
What is… x = -31/3 or x = 7
Solve the following inequality 2 x – 7 - 2 > 11
What is… { x : x < - 3 OR x > 10}
Solve the following equation. . . 3 x - 8 = -10
What is… NO SOLUTION
Solve the following inequality 3 8 – 5 x + 6 x < -9
What is… NO SOLUTION
Solve the following inequality 5/6 2 x – 1 + 5 x – 5 > -5 x + 20
What is… { x : x > 31/14 }
A membership to a fitness club has an initiation fee of $90. Each month you are billed an additional $30. Solve an inequality to find the maximum amount of time you can be a member for $600.
What is… 17 months
On Pennsylvania’s interstate highway the speed limit is 65 mph. The minimum speed is 45 mph. Write a compound inequality that represents the speeds at which you may legally drive.
What is… 45 < x < 65
The average price for a music CD is $15. 50. Depending on where you shop, the price may vary by as much as $3. 00. Write an absolute value inequality describing the possible prices of music CDs.
What is… p – 15. 50 < 3. 00
Write an inequality for the values of x and state 2 values that x can be. 5 m Area > 45 m 2 x
What is… x>9 m Values vary…
You have $60 and a coupon which allows you to take $10 off any purchase of $50 or more at a department store. Write an inequality that describes the possible retail value of the items you can buy using the coupon. Write an inequality that describes the different amounts of money you can spend if you use the coupon.
What is… 50 < x < 70 40 < x < 60
- Slides: 51
