Solve by Graphing
Solve by Substitution
Solve by Elimination
Number of Solutions
Word Problems
100

What is the solution?

(-1,1)

100

Solve the systems of equations using substitution:

y=3x-10

x=2

(2,-4)

100

Solve the systems of equations using Elimination:

-x - 5y = 4

x + 7y = -8

(6, -2)

100

How many solutions would a system of linear equations have if the equations are parallel and different y-intercepts?

Zero Solutions

100

You are at the beach with your group of friends, and it’s your turn to buy the snacks. You go up to the concession stand to buy 5 ice cream cones and 6 fruit smoothies totaling $65. You forget 2 ice cream cones, so you go back up to the stand to purchase them (with everything the same price) totaling $14. What are the two equations?

5x+6y = 65

2x = 14

200

How many solutions are there?

No Solutions

200

Solve the systems of equations using substitution:

y=2x-10

y=4x+8

(-9,-28)

200

Solve the systems of equations using Elimination:

2x - 3y = 9

-2x + y = -2

(-1, -4)

200

How many solutions would a system of linear equations have if the equations are parallel and have the same y-intercept?

Infinite Solutions

200

A group of tourists spends $594 to rent tents and grills for their weekend camping. They rent a total of 5 tents and 7 grills. The cost of renting a tent is 4 times as much as renting the grills. How much does it cost to rent one tent?

Grills cost $22


Tents cost $88
300

Solve Using Graphing:

y = 5/3x + 2 

y = -3


300

Solve the systems of equations using substitution:

y = -2x - 9

3x -6y = 9

(-3, -3)

300

Solve the systems of equations using Elimination:

-6x - 10y = 4

6x + 10y = 0

No Solution

300

Is there 1 solution, No solution, or Infinite solutions for the following question?

3x - y = 19

-3x + y = 10

No Solutions

300

Person A buys 17 water bottles and 6 personal pizzas for $166. Person B buys 11 water bottles and 3 personal pizzas for $88.  Find the cost of each item.

Water bottles cost $2

Personal pizzas cost $22

400

Solve this by graphing:

y = 2x - 4

y = -1/3 x + 3 

(3,2)

400

Solve the systems of equations using substitution:

2x - y = 6

x = y + 5

(1, -4)
400

Solve the systems of equations using Elimination:

-3x - 24y = -66

3x + 4y = -14

(-10, 4)

400

How many solutions does the system have?

3y + 4x = 6

12y + 16x = 24

These are the same exact line, therefore they have

Infinite Solutions

400

A group of tourists spends $168 to rent snorkels and fins. A total of 10 snorkels and 12 pairs of fins are rented. Renting a snorkel costs three times as much as renting a pair of fins. How much does it cost to rent a snorkel?

$12 

500

Solve the systems of linear equations by graphing:

500

Solve the systems of equations using substitution:

-8x + y = -7

16x - 2y = 14

Infinitely Many Solutions

500

Solve the systems of equations using Elimination:

-15x + 6y = -36

-8x + 6y = -22

(2, -1)

500

How many solutions does the system have?

-6y + 2 = -4x

y - 2 = x

Different slopes

One solution

y=2/3x+1/3

y=x+2

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