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Systems of Equations: Equal Values Mehtod

Total questions: 12

Worksheet time: 3hrs 0mins

Name
Class
Date
1.
Use the equal values method to determine the solution to the system of equations.
y = 6x + 3
y = 4x - 15
a)
(-9,3)
b)
(-7,-51)
c)
(-9,-51)
d)
(0,0)
2.
What is the solution to this system?
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
3.

Solve the following

y = - 8

y = 6x + 10

a)

No Solution

b)

(-3,-8)

c)

y = - 8

d)

x = - 3

4.

Solve the following problem

y = x + 2

y = 4x + 23

a)

(7,5)

b)

x=-7

c)

(-7,-5)

d)

x=-7 and y=-5

5.

Solve the following

y = 3

y = - 2x - 13

a)

(8,3)

b)

(3,-8)

c)

3,-8

d)

(-8,3)

6.

Solve the following

y = 4x + 24

y = x + 9

a)

(-4,-5)

b)

(-5,4)

c)

y = 4

d)

x = - 5

7.

Solve the following

y=x+4

y=5x+20

a)

No Solution

b)

(4,0)

c)

(-4,0)

d)

x = - 4

8.

Solve the following

y = x - 5

y = 5x - 13

a)

(-4,5)

b)

(2,3)

c)

(2,-3)

d)

(-3,2)

9.

Solve the following

y=-6x-10

y=5x+12

a)

(-2, 2)

b)

(2,2)

c)

(2, -2)

d)

(-1, 1)

10.

Last season two running backs on the Browns football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

a)

x + y = 1550

y = 4x

b)

x + y = 1550

y = x + 4

c)

y - x = 1550

y = 4x

d)

y = 1550 + x

y = x + 4

11.
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
a)
t + n = 54
t = 3n + 8
b)
t + n = 54
n = 3t + 8
c)
t + n = 54
t = 3n - 8
d)
t + n = 8
t = 3n + 54
12.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used? 
a)
1s + 3c = 38
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
c)
s + c = 38
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52