Graphing
Substitution
Elimination
Sum/Diff
Word Problems
100
What is the solution to the system of equations graphed below?
(-2,2)
100
Solve using substitution.
x = 2y
3x + 7y = 26
(4,2)
100
Solve using elimination.
4x + 6y = 32
3x - 6y = 3
(5,2)
100
The sum of two numbers is 18. The difference of the two numbers is 4. What are the two numbers?
11 and 7
100
A field goal is 3 points and the extra kick after a touchdown is 1 point. In the 2019 season, Chiefs kicker, Harrison Butker, made a total of 79 field goals and extra point kicks. He finished the season with 147 points. Find the number of field goals and extra point kicks that he made.
34 field goals
45 extra point kicks
200
What is the solution to the system of equations graphed below?
No Solution
200
Solve using substitution.
y = 3x - 34
y = 2x - 5
(29,53)
200
Solve using elimination.
6x - 3y = 27
2x - 3y = 11
(4, -1)
200
The sum of two numbers is -3. The difference of the two numbers is -13. What are the two numbers?
-8 and 5
200
Gina bought 5 hot dogs and 3 soft drinks at the ball game for $11.50. Renaldo bought 4 hot dogs and 2 soft drinks for $8.50. How much does a single hot dog and single drink cost?
Hot Dog $1.25
Soft Drink $1.75
300
Solve by graphing.
Y = 3x - 4
Y = -2x + 11
(3,5)
300
If you were going to use substitution to solve the system, what expression would you plug in for x into the second equation?
x + 3y = 4
-6x - 2y = - 8
-3y+4
300
Solve using elimination.
5x + 6y = - 8
2x + 3y = - 5
(2, -3)
300
The sum of two numbers is 24. Five times the first number minus the second number is 12. What are the two numbers?
6 and 18
300
At McDonalds, four cheeseburgers and three medium fries have a total of 2290 calories. Six cheeseburgers and two medium fries have 2560 calories. How many calories does each item contain?
Cheeseburger 310 calories
French Fries 350 calories
400
Solve by graphing.
Y = 2x + 1
Y = -5/2 x - 8
(-2,-3)
400
Solve using substitution.
3x + y = 6
4x + 2y = 8
(2,0)
400
Solve using elimination.
4x + 2y = 8
3x + 3y = 9
(1, 2)
400
Tamera and Adelina are throwing a birthday party for a friend. The number of people that Tamera invited was 5 fewer than the number that Adelina invited. Together they invited 47 guests. If x is the number of people that Tamera invited and y is the number of people that Adelina invited, write a system of equations.
x + y = 47
x = y - 5
400
A farmer had 19 cows and chickens. The farmer said they had 38 legs in all. What is the number of cows and chickens on the farm?
There were 14 chickens and 5 cows.
500
Solve by graphing.
y = 3x + 1
6x - 2y = -2
Infinitely Many Solutions
500
Solve using substitution.
2x - y = 8
y = 2x - 3
No Solution
500
Solve using elimination.
-4x + 2y = 0
10x + 3y = 8
(½, 1)
500
The sum of the measures of angles X and Y is 180°. The measure of angle X is 24° greater than the measure of angle Y. Find the measure of both angles.
Angle X is 102°
Angle Y is 78°
500
Write a system of equations that has a solution of (1, 3).
Answers will need to be checked by the Teacher.