Substitution
Addition & Subtraction
Multiplication
Best Method
Word Problems
100
y = 3x x + 2y = -21
What is (-3, -9)?
100
2x + y = 18 4x - y = 12
What is (5, 8)?
100
-5x + 3y = 6 x - y = 4
What is (-9, -13)?
100
9x - 8y = 42 4x + 8y = -16
What is (2, -3)? elimination (+)
100
Find the two numbers whose sum is 51 and whose difference is 13.
What is (32, 19)?
200
x + 5y = -3 3x - 2y = 8
What is (2, -1)?
200
3m - 2n = 13 m + 2n = 7
What is (5, 1)?
200
x + y = 3 2x - 3y = 16
What is (5, -2)?
200
4x - 2y = 14 y = x
What is (7, 7)? substitution
200
The sum of two numbers is 48, and their difference is 24. What are the numbers?
What is 36, 12?
300
8x + 2y = 13 4x + y = 11
What is no solution?
300
a - 2b = 5 3a - 2b = -10
What is (2, -2)?
300
2x + y = 5 3x - 2y = 4
What is (2, 1)?
300
6x - y = 9 6x - y = 11
What is no solution? elimination (-)
300
Five times a number minus twice another number equals twenty-two. The sum of the numbers is three. Find the numbers.
What is (4, -1)?
400
5r - s = 5 -4r + 5s = 17
What is (2, 5)?
400
4x - 3y = 12 4x + 3y = 24
What is (4.5, 2)?
400
8x - 3y = -11 2x - 5y = 27
What is (-4, -7)
400
y = 2x + 9 2x - y = -9
What is infinitely many solutions? substitution
400
Seven times a number plus three times another number equals negative one. The sum of the two numbers is negative 3. What are the numbers?
What is (2, -5)?
500
x= 0.5y + 3 2x - y = 6
What is infinitely many?
500
4x + 5y = 7 8x + 5y = 9
What is (1/2, 1)?
500
3x - 0.5y = 10 5x + 0.25y = 8
What is (2, -8)?
500
3x - 4y = -10 5x + 8y = -2
What is (-2, 1) elimination (x)
500
A youth group and their leaders visited Mammoth Cave. Two adults and five students in one van paid $77 for the Grand Avenue Tour of the cave. Two adults and seven students in a second van paid $95 for the same tour. Find the adult price and the student price of the tour.
What is adult: $16, student: $9?
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