Solving Equations/Inequalities
- 1. Solve for x.
4|x+7| < 8
A) no solution
B) x<-5 and x>-9
C) x>-9 or x<-5
D) x<5 or x>9
- 2. Solve for p.
|p+13| = -12
A) p=-25 or p=1
B) p=-25 or p=25
C) all real numbers
D) no solution
- 3. How many solutions does this equation have?
8|r| - 3 = -3
A) two solutions
B) one solution
C) no solution
- 4. Ryan was given the equation (x+8)(x-2)=0 and was asked to find the solutions. Which were Ryan's solutions?
A) no solution
B) x=8 or x=-2
C) x=0
D) x=-8 or x=2
- 5. Solve for x.
4x(3x+4)(x-6)=0
A) x=0
B) x=0 or x=4/3 or x=-6
C) x=-4/3 or x=6
D) x=0 or x=-4/3 or x=6
- 6. Tyler took a total of 14 quizzes over the course of 7 weeks. After attending 10 weeks of school this quarter, how many quizzes will Tyler have taken in total? Assume the relationship is directly proportional.
- 7. Paula's birthday party will cost $15 if she invites 5 guests. If there are 6 guests, how much will Paula's birthday party cost? Assume the relationship is directly proportional. Include the dollar sign.
- 8. Solve for r.
(5r – 7)(5r – 8) = 0
A) r = 7/5 or r = 8/5
B) r = 0
C) r = 5/7 or r = 8/5
D) no solution
- 9. Roger used 15 centimeters of tape to wrap 3 presents. How much tape will Roger need in all if he has to wrap 4 presents? Assume the relationship is directly proportional.
- 10. Josie grew 12 flowers with 4 seed packets. How many seed packets does Josie need to have a total of 15 flowers in her garden? Assume the relationship is directly proportional.
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