Unit 5 Review Easy
1. k - 8 > -19 GRAPH:
1. k > -11
6. -40 < -5b GRAPH:
6. b > 8
11. -10 > (or equal to) 6 + m/4 GRAPH:
11. m < -64
16. Julia solved the inequality -6 + x/4 < (or equal to) -5 and said that -4 was a possible value for x. Was she correct? Why or why not?
16. Yes, because the answer is x < (or equal to) 4, and -4 is less than 4.
What does a closed circle mean on an inequality graph?
It means that number is included in the answer.
2. -7 + w > 18 GRAPH:
2. w > 25
7. 4 + 6d < 58 GRAPH:
7. d < 9
12. 56 < (or equal to) -2c - 5c GRAPH:
c < (or equal to) -8
17. Luke buys 4 donuts at the bakery for the same price and a dozen cookies which cost $12. The total cost for the items was less than $24. Write an inequality and solve to describe how much each donuts costs.
17. 4x + 12 < 24
x < 3
$3 per donut
What does an arrow pointing left on an inequality graph mean?
Less than
3. -6x > 36 GRAPH:
3. x < -6
8. -6 + x/4 < (or equal to) -5 GRAPH:
8. x < (or equal to) 4
13. 15 > 3 - 2a GRAPH:
13. a > -6
18. Jenny bought 4 shirts that cost the same amount and 2 pairs of pants that cost $20 for the two pair. If she spent less than $52, write an inequality and solve to see the most she spent on each shirt.
18. 4x + 20 < 52
x < 8
$8 per shirt
Make sure the variable is on the _________ side of the inequality sign.
left
4. -5 < (or equal to) c/7 GRAPH:
4. c > (or equal to) -35
9. -4n + 5 > (or equal to) 37 GRAPH:
9. n < (or equal to) -8
14. 27 < -2x + 5x GRAPH:
14. x > 9
19. Draw a graph to represent each of the following:
x < -2 x < (or equal to) -2
x > -2 x > (or equal to) -2
19. See graphs
The Colossus Roller Coaster at Lagoon can seat no more than 25 people.
Possible solutions: ____,____,____
Inequality:___________
Possible solutions: Any number less than 25, including the number 25.
Inequality: x < (or equal to) 25
5. 3n > -36 GRAPH:
5. n > -12
10. 3 + 2c < 23 GRAPH:
c < 10
15. 1 - (3 + x) > (or equal to) -5 GRAPH:
15. x < (or equal to) 3
20. Write an inequality to represent the situations below:
The snow cone shack must sell at least 150 snow cones:
Inequality________ Possible solutions ___,___,___
The baseball team can have no more than 18 players.
Inequality________ Possible solutions ___,___,___
20. Inequality: x > (or equal to) 150
Possible solutions: any number greater than 150, including the number 150
Inequality: x < (or equal to) 18
Possible solutions: any number less than 18, including the number 18
Name the two reasons to flip the inequality sign.
When you multiply or divide by a negative number and when the variable is on the right side of the inequality sign.