5.1 – 5.4 Inequalities Quiz Review
5-1 Solving Inequalities by Addition and Subtraction
1) t + 14 ³ 18
1 1
2) a + <
4 8
3) 3f < -3+ 2f
4) 2y ³ -8 + y
5-2 Solving Inequalities by Multiplication and Division
2) 7x > 84
x
1)
£5
10
3) -16z £ -64
5-3 Solving Multi-Step Inequalities
1) -3t + 6 £ -3
2
4) - p > 10
5
2)
2v - 3
5
>7
3) 13x - 11 < 7x + 37
5-4 Compound Inequalities
1) 12 < k + 2 £ 18
3) 3p - 4 £ 5p - 12 and 2p - 2 £ 4p - 8
4) 3y + 4 > 2(y + 3) + y
2) d - 4 > 3 or d - 4 £ 1
4) 3n + 11 < 13 or 5 - 3n > -13
Applications
1. Meg’s scores on three math tests were 91, 95, and 88. The fourth and final test of
the marking period is tomorrow. She needs an average of at least 92 to receive an
A for the marking period. Using s for her 4th score, write an inequality to represent
the situation. What must she score on the final test?
2. Julias car gets between 18 and 21 miles per gallon of gasoline. If her car’s tank
holds 15 gallons, what is the range of distance that Megan can drive her car on one
tank of gas?
5.1 – 5.4 Inequalities Quiz Review
Graphing the Solutions: Be sure to mark 3 WHOLE numbers on each number line.
5-1
5-2
1)
1)
2)
2)
3)
3)
4)
4)
5-3
5-4
1)
1)
2)
2)
3)
3)
4)
4)
Mixed Practice
1. Solve the inequality and graph its solution:
-
d
5
- 12 ³ 8
Solve the inequality and graph its solution:
2. 23-t £ 2(t - 9) - 3(t + 2)
Solve the inequality and graph its solution:
3. 1 > -2x - 1 ³ -5
Solve the inequality and graph its solution:
4. 3x - 1 < 5 or 7 - x £ 3
Define a variable, write an inequality and solve each problem.
5. For a package to qualify for a certain postage rate, the sum of its length and girth
cannot exceed 85 inches. If the girth is 63 inches, how long can the package be?
6. The minimum daily requirement of vitamin C for 14-year-olds is at least 50 milligrams
per day. An average-sized apple contains 6 milligrams of vitamin C. How many apples would
a person have to eat each day to satisfy this requirement?
5-1 Answers
1. t ³ 14
2. a < -
1
3. f < -3
4. y ³ -8
8
5-2 Answers
1. x £ 5
2. x > 12
3. z ³ 4
4. p < -25
5-3 Answers
1. t ³ 3
2. v > 19
3. x < 8
4. No Solution
5-4 Answers
1. 10 < k £ 16
2. t > 7 or d £ 5
3.
p³4
this is the only
solution because it is
where the two
solutions intersect
4. n < 6
this is the only
solution because it is
the union of the two
solutions
Applications
1) x ≥ 94. She must receive at least a 94 2) Between 315 and 270 miles! 270miles<x<315
Mixed Practice Answers
1. d £ -100
2. No Solution
3. -1 < x £ 2
4. x < 2 or x ³ 4
5. The length must be less than or equal to 22in.
6. At least 9 apples!