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Solve by Graphing
Solve by Substitution
Solve by Elimination
Applying system of equations
Solve for y
100
Solve the following system of equations by graphing: y = -2x + 6 and y = 2x + 2
What is (1, 4)
100
Solve the system of equations by substitution: y = 4x and 3x - y = 1
What is (-1, -4)
100
Solve the following system of equations by elimination: x - y = 1 and x + y = 3
What is (2, 1)
100

Write two equations for the given scenario: A roadside vegetable stand sells pumpkins for $5 and squash for $3 each. One day they sold 6 more squash than pumpkins and their sales totaled $98.

Let: p=Number of pumpkins sold

       s=Number of squash sold

What is...

Income: 5p + 3s = 98

Items sold: s = 6 + p, 

100

Solve for y in terms of x:

3x+y=5

What is...

y=-3x+5

200
Solve the system of equations by graphing: y = (1/2) x and x + y = 3
What is (2, 1)
200
Solve the system of equations by substitution: x = 2y and y = x - 2
What is (4, 2)
200
Solve the following system of equations by elimination: 2x - 3y = 9 and -5x - 3y = 30
What is (-3, -5)
200

Write a system of equations for the following scenario: A library contains 2000 books. There are 3 times as many non-fiction books as fiction books.

Let f=number of fiction books

     n=number of non-fiction books

What is...

Total number of books:         n + f = 2000

Comparing number of books: n = 3f

200

Solve for y in terms of x:

6x+2y=24

What is:

y=-3x+12

300
Solve the system of equations by graphing: y = -2 and 3x - y = -1
What is (-1, -2)
300
Solve the system of equations by substitution: x = 2y - 3 and x = 2y + 4
What is No Solution
300
Solve the system of equations using elimination: x + y = -9 and 5x - 2y = 32
What is (2, -11)
300

Write a two equations to describe the scenario:

You make 14 baskets during your basketball game. Some of those baskets were worth 2-points and others were worth 3-points. You had a total of 30 points. let x=number of two point baskets and y=number of three-point baskets.

50 Point Bonus: How many were 2-point baskets?

What is...

Total number of baskets:    x + y = 14

Total number of points:    2x + 3y = 30

50 Bonus points: 12 were 2-point baskets

300

Solve for y in terms of x:

10x-5y=30

What is...

y=2x-6

400
Solve the system of equations by graphing: 2y = -4x + 4 and y = -2x + 2
What is infinitely many solutions
400
Solve the system of equations by substitution: x - 2y= -5 and x + 2y = -1
What is (-3, 1)
400
Solve the system of equations by elimination: 2x + y = 0 and 5x + 3y = 2
What is (-2, 4)
400

Write a system of equations to describe the situation: The sum of two numbers is 16 and their difference is 20. What are the two numbers?

Let x=one number and y=the other number

50 Point Bonus: Find the two numbers

Sum:         x + y = 16

Difference: x - y = 20


50 Point Bonus: 18 and -2

400

Solve for y in terms of x:

7x-2y=15

What is...

y = 3.5x - 7.5

500
Solve the system of equations by graphing: 3x + 2y = 6 and 3x + 2y = -4
What is no solution
500
Solve the system of equations by substitution: x - 4y = 1 and 2x - 8y = 2
What is infinitely many solutions
500
Solve the following system of equations by elimination: 3x - 6y = -3 and 2x + 4y = 30
What is (7, 4)
500

Write a system of equations to solve the following scenario: Brent has $3.35 in quarters and dimes. If he has 23 coins in all, how many quarters and dimes does he have?


50 point Bonus: Solve it.

What is...

Number of coins: q + d = 23

Value of coins: 25q + 10de = 335

50 point Bonus: 16 dimes and 7 quarters

500

Solve for y:

ax + by = c

What is:

y= (-a/b)x + (c/b)