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Algebra Distance Learning - Systems of Equations

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Is (1,10) a solution to

y=7x+5

y=x+9

a)

yes

b)

no

2.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
3.
Solve the following system by graphing.  What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
4.
Solve the following system by substitution.  What is the solution?
a)
(1, -2)
b)
(-2, 1)
c)
(-4, 1)
d)
(2, 1)
5.

Solve the system of equations by elimination:

9x - 4y = 1

-3x + 8y = -47

a)

(3, -7)

b)

(-3, 7)

c)

(-3, -7)

d)

(-7, -3)

6.
Solve the system using any method. 
 −4x − 4y = 0
4x + 4y = 0 
a)
(−6, −4) 
b)
Infinite number of solutions  
c)
No solutions
d)
(6, 4) 
7.
Solve for x and y using any method we've learned!
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
8.

Solve using the method of your choice:

7x-9y=29


7x+2y=-15

a)

(-4,-1)

b)

(-1.-4)

c)

(-1,4)

d)

(-1,6)

9.
If a system of equations has infinitely many solutions, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
the same line (coinciding lines)
10.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
11.
Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
a)
$5
b)
$10
c)
$15
d)
$20
12.

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. How many nachos did he sell? How many sodas did he sell?

a)

35 nachos and 52 sodas

b)

18 nachos and 69 sodas

c)

52 nachos and 35 sodas

d)

61 nachos and 26 sodas

13.
Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?
a)
Sugar Cookies $5 
Oatmeal Cookies $3
b)
Sugar Cookies $4
Oatmeal Cookies $8
c)
Sugar Cookies $2
Oatmeal Cookies $6
d)
Sugar Cookies $3
Oatmeal Cookies $6
14.
On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.
a)
Adult $13
Child $5
b)
Adult $10
Child $6
c)
Adult $8
Child $16
d)
Adult $12
Child $13
15.

Carlee mowed her next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job she counted out the coins and it came to $6.60. How many nickels and dimes did Carlee earn?

a)

40 nickels, 40 dimes

b)

52 nickels, 28 dimes

c)

28 nickels, 52 dimes

d)

30 nickels, 50 dimes

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