WorksheetsTest Review (Inequalities)
Total questions: 20
Worksheet time: 1hrs 24mins
Name
Class
Date
1.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥
b)
<, >
c)
trick question
2.
Solve:
a)
A
b)
B
c)
C
d)
D
3.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
4.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
5.
x+2<-4 or -5x<-15
a)
-6<x<3
b)
x<-3 and x>6
c)
x<-6 or x>3
d)
No Solution
6.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
7.
What inequality is graphed?
a)
x > 2 and x < 4
b)
x ≥ 2 and x ≤ 4
c)
x > 2 or x < 4
d)
x ≥ 2 or x ≤ 4
8.
Solve: -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
9.
Solve:
3x + 2 < -7 or -4x + 5 < 1
3x + 2 < -7 or -4x + 5 < 1
a)
x < -3 and x < 1
b)
x < -3 and x > 1
c)
x < -3 or x < 1
d)
x < -3 or x > 1
10.
Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.
a)
7x + 13y < 81
b)
7x + 13y ≥ 81
c)
7x + 13y ≤ 81
d)
7x + 13y > 81
11.
Consider the function y<2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
None of these.
12.
Write the linear inequality in standard form for this situation: A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.
a)
14x + 5y ≥ 1000
b)
14x + 5y < 1000
c)
14x + 5y ≤ 1000
d)
14x + 5y > 1000
13.
Which of the following equations match the given graph?
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
14.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
15.
5 + 9x < -76 or -6 + x ≥ 6
a)
x < -9 or x ≥ 0
b)
x > -9 or x ≥ 12
c)
-9 < x ≤ 12
d)
x < -9 or x ≥ 12
16.
Solve:
|x + 3| > - 8
|x + 3| > - 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
17.
Solve.
|2x - 1| = -7
|2x - 1| = -7
a)
x = -3 or x = 4
b)
all real numbers
c)
x = 3 or x = -3
d)
no solution
18.
Solve.
-5|x - 4| < 20
-5|x - 4| < 20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution
19.
Find the solution.
a)
A
b)
B
c)
C
d)
D
20.
Find the solution.
a)
A
b)
B
c)
C
d)
D
100 %
