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CHS EOC Review: Inequalities

Total questions: 24

Worksheet time: 1hrs 12mins

Name
Class
Date
1.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
d)
2.

Solve the system of inequalities by graphing.

a)
b)
c)
d)
3.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
4.
a)

6x+2y<1206x+2y<120

b)

2x+6y1202x+6y≤120

c)

6x+2y>1206x+2y>120

d)

2x+6y1202x+6y≥120

5.

a)
b)
c)
d)
6.
Write the inequalities
a)
x≤-2
y≤x-3
b)
y≤-2
y≤x-3
c)
x≥-2
y≤x-3
d)
y≥-2
y≤x-3
7.
Which system of inequalities is shown?
a)
y ≥ -x - 1
y < x + 4
b)
y < -x - 1
 y ≥ x + 4
c)
y > -x - 1
y ≥ x + 4
d)
y > -x - 1
y ≥ x + 3
8.

Jason has a part-time job and saves $10 of the his hourly pay for the purchase of a new laptop that costs $648. He has $80 saved already. Which inequality represents the number of hours Jason must work to buy the laptop?

a)

10x +80 64810x\ +80\ \ge648

b)

10x +80  64810x\ +80\ \le\ 648

c)

10 + 80x 64810\ +\ 80x\ \ge648

d)

10 +80x 64810\ +80x\ \le648

9.

Jason has a part-time job and saves $10 of the his hourly pay for the purchase of a new laptop that costs $648. He has $80 saved already. Which inequality represents the number of hours Jason must work to buy the laptop?

a)

10x +80 64810x\ +80\ \ge648

b)

10x +80  64810x\ +80\ \le\ 648

c)

10 + 80x 64810\ +\ 80x\ \ge648

d)

10 +80x 64810\ +80x\ \le648

10.

describe the solutions of 6+y<10

a)

the value of y is a number less than or equal to 3

b)

the value of y is a number greater than 4

c)

the value of y is a number equal to 3

d)

the value of y is a number less than 4

11.
When graphing inequalities, what type of lines do you draw when graphing > or < on a coordinate plane?
a)
solid
b)
dashed
12.
Which of the following describes all the solutions to the inequality
5x + 7y ≥ 22
when y = −4?
a)
x ≤ 10
b)
x ≤ −10
c)
x ≥ 10
d)
x ≥ −10
13.

Which point is a solution to the system?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

14.

Which graph best represents the solution set of y ≤ -4x?

a)
b)
c)
d)
15.

Which graph best represents the solution set of

y  3x4 ?y\ \le\ 3x-4\ ?  

a)

A

b)

B

c)

C

d)

D

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.
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
19.
Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.
a)
57x + 72y ≥ 2700
b)
57x + 72y > 2700
c)
57x + 72y < 2700
d)
57x + 72y ≤ 2700
20.

For what values of x is the inequality 23 + x3>1 true?\frac{2}{3}\ +\ \frac{x}{3}>1\ true?

a)

x < 1

b)

x > 1

c)

x < 5

d)

x > 5

21.

Which graph represents x > 3?

a)

b)

c)

d)

22.

Which graph represents y > 2x – 1?

a)

b)

c)

d)

23.
Solve for x:
4 - 5x < 22 - 2x
a)
x > -6
b)
x < -6
c)
x > 6
d)
x < 6
24.
a)

F

b)

G

c)

H

d)

J