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Word Problems
Solve by Graphing
Solve by Substitution
Solve by Elimination
Is the Solution Correct?
100
A math club has 40 members. The number of girls is 5 less than 2 times the number of boys. This is the number of boys and the number of girls.
What is 15 boys and 25 girls?
100
By graphing, the solution to the system y = 5x + 8 y = (1/2)x + 5
What is (-2,-2) ?
100
The solution to the system y-x=0 7x-9y=8
What is (-4,-4) ?
100
The solution to the system 4x - y = -9 3x - 3y = 0
What is (-3,-3) ?
100
(4,5) is the solution to the following system? 4x - y = 12 x + 6y = 13
What is, NO ?
200
There are 27 red or blue marbles in a bag. The number of red marbles is 5 less than 3 times the number of blues marbles. This is the number of red marbles and blue marbles.
What is 19 red marbles and 8 blue marbles?
200
By graphing, the solution to the system y = 3x + 5 y = 3x - 5
What is there are no solutions?
200
x - y=30 2.5x + y=5
What is (10,-20) ?
200
The solution to the system x + 2y = -2 2x + 3y = -1
What is (4,-3)?
200
(0,-4) the solution to the system y = -20x + 1 20x + y = 6
What is No?
300
The Robotics Club was selling food to raise funds for their upcoming trip. They sold a total of 352 hamburgers, cheeseburgers, and hot dogs. The number of cheeseburgers they sold was six times the number of hamburgers sold, and they sold 104 more hot dogs than hamburgers. This is the number of hamburgers sold, cheeseburgers sold, and hot dogs sold.
What is 31 hamburgers, 186 cheeseburgers, and 135 hotdogs?
300
By graphing, the solution to the system y = 4x + 6 2y = 8x + 12
What is infinitely many solutions ?
300
The solution to the system y = x + 3 y = 2x - 2
What is (5,8) ?
300
The solution to the system 5x = 5y - 5 2y = 3x + 1
What is (1,2)?
300
(-2,1) is a solution to the system 6x - 3y = -15 2x + y = -3
What is Yes?
400
You have 39 math and science problems for homework. You have 15 more math problems than science problems. Use the model to write a system of linear equations. This is the number of problems in each subject.
What is 27 math and 12 science?
400
By graphing, the solution to the system y = -x - 4 y = (1/2)x + 5
What is (-6,2) ?
400
The solution to the system y = x + 3 y = 5x - 5
What is (2,5)?
400
The solution to the system x + 2y = 8 -x + 2y = 20
What is (-6,7)?
400
No solution describes the solution to the following system y = 3x + 4 y = -x - 4
What is No?
500
You and your friend are collecting seashells on the beach. You collect 36 more shells than your friend collects. Together, you and your friend have 88 seashells. This is the system of linear equations that represents this situation.
What is x + y = 88 and x = y + 36?
500
By graphing, the solution to the system y = x + 4 y = -x
What is (-2,2)?
500
The solution to the system y = 3x - 1 y = x - 7
What is (-3,-10) ?
500
The solution to the system 3x + y = -5 2x - y = 10
What is (1, -8)?
500
(-3,-1) is the solution to y=(4/3)x + 3 (2/3)x + y = -3
What is (-3,-1)?