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WorksheetsUnit 4 Review Objectives 1-5
Total questions: 57
Worksheet time: 4hrs 20mins
Name
Class
Date
1.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
2.
10 < 3x + 19
a)
x < 3
b)
x > 3
c)
x < -3
d)
x > -3
3.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
4.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
5.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
6.
Solve the inequality. 30 + n > 50
a)
x > 50
b)
x > 80
c)
x < 30
d)
x > 20
7.
Is x = 9 a solution to the given inequality.
x > 9
x > 9
a)
TRUE
b)
FALSE
8.
Is x = 12 a given solution to the inequality.
x > 5
x > 5
a)
TRUE
b)
FALSE
9.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
10.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
11.
Solve:
a)
A
b)
B
c)
C
d)
D
12.
Solve:
a)
A
b)
B
c)
C
d)
D
13.
-8<2(x+4) or -3x+4>x-4
a)
No solutions
b)
x<-8 or x<2
c)
x>-8 or x<2
d)
x<-8 and x<2
14.
0 < x + 7 < 9
a)
-7<x and x<2
b)
-7<x or x<2
c)
-7>x and x>2
d)
-7>x or x>2
15.
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
What inequality is graphed?
a)
x > 2 and x < 4
b)
2 ≤ x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
18.
What inequality is graphed?
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
19.
solve the following inequality
5-(4x -5) ≤ 30
5-(4x -5) ≤ 30
a)
x ≤ -5
b)
x < 10
c)
x ≥ -5
d)
x ≥ 10
20.
solve 5( 6 + 3r) + 7 ≥ 127
a)
r ≤ 6
b)
r ≥ 6
c)
r ≤ -6
d)
r ≥ -6
21.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
22.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
23.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
≤, <
d)
≥, >
24.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥
c)
≤, <
d)
≥, >
25.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
26.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
27.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
28.
What are two numbers that could be x in x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
29.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
30.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
31.
Which graph matches the inequality
2 > p?
2 > p?
a)
A
b)
B
c)
C
d)
D
32.
Which graph matches the inequality
-2 ≥ n?
-2 ≥ n?
a)
A
b)
B
c)
C
d)
D
33.
Which graph matches the inequality
r ≥ -6?
r ≥ -6?
a)
A
b)
B
c)
C
d)
D
34.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
35.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
36.
What inequality does the number line graph represent?
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
37.
Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.
a)
4+ 1.5m <= 7
b)
1.5m - 4 <=7
c)
1.5m - 4>= 7
d)
1.5m + 4 >= 7
38.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
15 + 6x ≤ 100?
a)
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
b)
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
c)
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
d)
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
39.
Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?
a)
25 - 12x ≥ 200
b)
25 + 12x ≥ 200
c)
13x ≥ 200
d)
25 + 12x > 200
40.
Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?
a)
10x + 65 ≥ 40
b)
4x + 10 ≤ 65
c)
4x - 10 ≤ 65
d)
65 + 4x ≥ 40
41.
a)
v>5 or v<-5
b)
v≥5 or v≤-5
c)
v>-5 or v<5
d)
all real numbers
42.
a)
no solution
b)
a> -1/6 or a< -5/6
c)
a>1/2 or a< -3/2
d)
all real numbers
43.
a)
no solution
b)
-6 ≤ r ≥ 8
c)
6 > r > -8
d)
-6 < r < 8
44.
a)
n > 1 or n < -7
b)
n > -1 or n < -7
c)
-7 < n < -1
d)
no solution
45.
a)
r > 11/4 or r < 9/4
b)
r > 5 or r ≤ 0
c)
r > 5 or r < 0
d)
r < -5 or r > 0
46.
a)
all real numbers
b)
no solution
c)
0 < v < 6⁄7
d)
0 ≤ v ≤ 6/7
47.
a)
no solution
b)
all real numbers
c)
-2 ≤ n ≤ 16
d)
n ≤ -2 or n ≥ 16
48.
a)
No solution
b)
All real numbers
c)
-1 < a < 9/7
d)
-5/7 < a < 1
49.
When graphing the solutions to "OR" inequalities, The graph usually looks like___
a)
Two graphs pointing towards each other.
b)
Arrows that point away from each other and never cross.
c)
A line segment with an open or closed point at each end.
d)
A ray.
50.
When graphing the solutions to "AND" inequalities, The graph usually looks like___
a)
Two graphs pointing towards each other.
b)
Arrows that point away from each other and never cross.
c)
A line segment with an open or closed point at each end.
d)
A ray.
51.
What is the first step?
a)
Get absolute value alone by subtracting 5 from both sides
b)
Get absolute value alone by dividing by 5 on both sides
c)
Split into two equations
52.
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.
a)
1.75 + 0.65m < 10
b)
1.75 + 0.65m > 10
c)
1.75m + 0.65 < 10
d)
1.75m + 0.65 > 10
53.
The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?
a)
6x + 8 ≥ 42
b)
8x + 6 ≤ 42
c)
6x + 8 > 42
d)
8x + 6 < 42
54.
9+∣3n+4∣≥9
Evaluate the Absolute value inequality and input your solution as no solutions, all real numbers, or the solution interval notation.
(a)
55.
Evaluate the Absolute value inequality and input your solution as no solutions, all real numbers, or the solution interval notation.
−∣−7x−8∣−5<−4
(a)
56.
93∣−8n+9∣+12<−2
Evaluate the Absolute value inequality and input your solution as no solutions, all real numbers, or the solution interval notation.
(a)
57.
−11+5∣9+8m∣≤−16
Evaluate the Absolute value inequality and input your solution as no solutions, all real numbers, or the solution interval notation.
(a)
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