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WorksheetsChapter 6 Review - Algebra 1 - Systems of Equations
Total questions: 11
Worksheet time: 11mins
What is the first step for solving the system using the SUBSTITUTION Method?
Given the system:
x-3y=9
5x-9y=-3
The correct first step using ELIMINATION method would be to...
Just add down
Multiply the bottom equation by 4
Multiply the top equation by -3
Multiply the top equation by 3
Which method would you use to solve the following system substitution or elimination?
x-y=11
2x+y=19
Substitution
Elimination
Solve the system using substitution or elimination.
x-y=11
2x+y=19
(4,-2)
(3,-8)
(-8,3)
(-2,4)
Which method would you use to solve the following system substitution or elimination?
y=4x-16
y=7x-22
Substitution
Elimination
Solve the system using substitution or elimination.
y=4x-16
y=7x-22
(-8,2)
(2,-8)
(-3, -4)
(-4, -3)
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
1.50x+.50y=87
x+y=78.50
y=1.50x+78.50
y=.50x+87
1.50x+.50y=78.50
x+y=87
1.50x+2.50y=937.50
1.50x + .50y=87
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost?
3x+3y=11.25
4x+2y=10.00
3x+3y=11.25
10x+4y=2
3x+3y=11.25
x+y=4
3x+3y=10
4x+2y=11.25
We are going to sell Brownie Bites to make money for a fieldtrip. The Brownie Bites ingredients cost $138. It also costs $0.35 for packaging each bag of Brownie Bites. We are planning to sell our Brownie Bites for $2.50 per package. How many packages must we sell in order to break even?
y=.35x+138
y=2.50x
.35x+2.50y=138
x+y=138
.35x=138
2.50x=138
y=2.50x+138
y=.35x
Solve the system using the SUBSTITUTION method.
y=2x+4
3x+y=9
Solve the system using the ELIMINATION method.
3x − 2y = 2
5x − 5y = 10
