Free Printable Linear Equations EOC Review

1.

Which inequality describes this graph?

a)

$y>3x-2$

b)

$y<3x-2$

c)

$y\ge3x-2$

d)

$y\le3x-2$

2.

Which of the following equations match the given graph?

a)

$y\ge\frac{2}{5}x+1$

b)

$y<\frac{2}{5}x+1$

c)

$y\le\frac{2}{5}x+1$

d)

$y>\frac{2}{5}x+1$

3.

Identify the graph of the following linear inequality.

$y<\frac{1}{2}x-3$

a)

b)

c)

d)

4.

What inequality matches the graph?

a)

$y\ge2x+3$

b)

$y\le2x+3$

c)

$y<2x+3$

d)

$y>2x+3$

5.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15
4x + 2y = 44

b)

4x + 2y = 15
x + y = 44

c)

x = 2y + 44
4x = y + 15

d)

2x - 4y = 44
x - y = 15

6.

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. Which system of equations solves this problem to show how many students were in each van and each bus?

a)

11v + 3b = 283

12v + 14b = 770

b)

v + b = 14

v + b = 16

c)

11v + 12v = 283

3b + 14b = 770

d)

v + b = 30

23v + 17b = 1053

7.

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner (x) for $14.80, and some order steak (y) for $17. If the total bill was $91, which system best represents the situation?

a)

x + y = 6

14.80x + 17y = 91

b)

x + y = 91

14.80x + 17y = 6

c)

x + y = 6

14.80y + 17x = 91

d)

x + y = 91

14.80x + 17y = 6

8.

One group of friends purchased 10 hot dogs and 5 soft drinks at a cost of $12.50. A second group bought 7 hot dogs and 4 soft drinks at a cost of $9.00.

Let x = cost of hot dogs

Let y = cost of soft drinks

Write a system of linear equations.

a)

$10x+5y=9.00$
$7x+4y=12.50$

b)

$5x+10y=12.50$
$4x+7y\ =\ 9.00$

c)

$10x+5y=12.50$
$7x+4y=9.00$

d)

$5x+10y=9.00$
$4x+7y=12.50$

9.

A group of children and adults went to the movies. They bought 2 adult tickets and 4 children tickets for $43.00. Another group bought 2 adult and two children tickets for $30.00. How much does it cost for one child ticket?

a)

$8.50

b)

$6.50

c)

$5.50

d)

$7.50

10.

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7

d)

2

11.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

12.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

13.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

a)

1.5x+0.5y=78.5
x+y=87

b)

1.5x+0.5y=78.5
1.5x+0.5y=87

c)

x+y=78.5
1.5x+0.5y=87

d)

x+y=78.5
x+y=87

14.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

a)

x + y = 33
y = 2x - 3

b)

x + y = 33
x = 2y - 3

c)

x + y = 33
x = 3 - 2y

d)

x + y = 3
x = 33 - 2y

15.

How can I tell if an inequality will have a dashed boundary line?

a)

It does not have an equal sign.

b)

The symbol is less than than.

c)

The symbol does not have "or equal to."

d)

You just guess.

16.

How can I tell if an inequality will have a solid boundary line?

a)

It has an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

17.

Which equation represents the graph below?

a)

$y>-2x-1$

b)

$y\ge-2x-1$

c)

$y\le-2x-1$

d)

$y<-2x-1$

18.

What is the equation of the graph below?

a)

$y<\frac{3}{2}x-3$

b)

$y\le\frac{3}{2}x-3$

c)

$y\ge\frac{3}{2}x-3$

d)

$y>\frac{3}{2}x-3$

Linear Equations EOC Review

Total questions: 18

Worksheet time: 2hrs 43mins

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