Elimination
Substitution
Graphing
Multiplication
Strictly Word Problems
100
Solve the following system of equations by using the elimination method: 11x + 6y = 79 and 11x + 3y = 67
What is (5,4)
100
Solve by substitution. 2x + 3y = 4 y = 5x – 27
What is (5,-2)
100
y = -1/3x + 4 y = 1/3x + 2
What is (3,3).
100
4x - 6y = 12 2x + 2y = 6
What is (3,0)
100
A group of adults and kids went to see a movie. Tickets cost $6.50 each for adults and $4.50 each for kids, and the group paid $44.50 in total. There were 5 fewer adults than kids in the group. Find the number of adults and kids in the group.
What is 2 adults and 7 kids were in the group.
200
Solve the following system of equations by using the elimination method: 2x + 3y = 15 and 4x - 3y = 3
What is (3,3)
200
Solve the following system by substitution. c = 2 + 3d 3c + d = 16
What is (5,1)
200
y = x - 3 y = -x + 5
What is (4,1).
200
3y - 2x = 11 y + x = 7
What is (2,5)
200
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?
What is 35 hot dogs were sold and 52 sodas were sold at the basketball game.
300
Solve the following system of equations by using the elimination method: 4x + 3y = -17 and 4x - 3y = 1
What is (-2,-3)
300
Solve by substitution. x = 4y + 5 x = 3y - 2
What is (-23,-7)
300
y=-3x+2 y=2x+3
What is (1,-1).
300
2x – y = 9 3x + 4y = –14
What is (2, -5)
300
All of the 3rd grade teachers and students from Oak went on a field trip to an art museum. Tickets were $5.00 each for teachers and $3.50 each for students, and the group paid $46.50 in total. A few weeks later, the same group visited a science museum where the tickets cost $10.00 each for teachers and $10.50 each for students, and the group paid $124.50 in total. Find the number of teachers and students on the field trips.
What is 3 teachers and 9 students were on the field trip.
400
Solve the following system of equations by using the elimination method: 5x - 8y = -8 and 5x + 10y = 10
What is (0,1)
400
Solve by substitution. y = 2x +3 y = 4x - 1
What is (2,7)
400
y = x - 4 x - y = 4
What is Infinite Solutions
400
4x + 3y = -1 5x + 4y = 1
What is (-7,9)
400
Calvin has $8.80 in pennies and nickels. If there are twice as many nickels as pennies, how many pennies does Calvin have? How many nickels? In this kind of problem, it's good to do everything in cents to avoid having to work with decimals. So Calvin has 880 cents total. How many of each coin did Calvin have?
What is Calvin had 80 pennies and 160 nickels.
500
Solve the following system of equations by using the elimination method: 5x + 5y = 65 and 5x - 4y = 2
What is (6,7)
500
Solve by substitution. y = 6x - 1 y = 2x
What is (1/4, 1/2)
500
2x + 2y = -8 y = -x +5
What is no solutions
500
4x – 3y = 25 –3x + 8y = 10
What is (10,5)
500
$6000 is divided between two accounts, one paying $4%$ interest and the other paying $3%$ interest. At the end of one interest period, the interest earned by the $4%$ account exceeds the interest earned by the $3%$ account by $65. How much was invested in each account?
What is $2500 was invested at 3% and $3500 was invested at 4%.
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