Solve by elimination
Solve by Substitution
Word Problems
Solve by graphing
Solve
100

Solve the system of equations by elimination/addition. Give your solution as an ordered pair.

10x−2y=−40

−5x−y=10

What is (-3, 5).

100

Solve the following system of equations with the substitution method:

x−5y=2

y=5x−34

What is (7, 1)

100

A bag is filled with green and blue marbles. There are 119 marbles in the bag. If there are 19 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.  What are the number of blue marbles?  What are the number of green marbles?

What is 50 blue marbles and what is 69 green marbles.

100

Solve the system of equations by graphing.  What is solution?  (If no solution or many solutions, give that as an answer):

y=−2x−4

2x+4y=8

What is (-4, 4).

100

Solve this system of equations (any method).  Give answer as a coordinate point.

−3x−2y=4 

−x+4y=−22

What is (2, -5).

200

Solve this system of equations using the method of elimination (addition).  Please remember to give answer as coordinate point.

−2x+3=-11

1x−3y=7

What is (4, -1).

200

Use substitution to solve:


x+y=36

y=5x

What is (6, 30)

200

April and Randall are running a team relay race. April runs twice as far as Randall. Together they run 27 miles. How far did each person run?  

What is April ran 18 miles and Randall ran 9 miles.

200

Solve the system of equations by graphing:

y=2x−3

2x+4y=8

What is (2, 1)

200

Solve the system with any method:

5x−8y=−52

−9x−3y=24

What is (-4, 4).

300

Solve using Elimination (remember to state answer as an ordered pair)


−7x−9y=−48

4x+9y=39

What is (3, 3)

300

Use substitution:

7x+2y=−18

x−5y=−29

What is (-4, 5)

300

Patricia has $575 in her savings account and she has to pay $45 each month to her parents for her cell phone. Arturo has $120 and he saves $20 each month from his job walking dogs for his neighbor. At this rate, when will Patricia and Arturo have the same amount of money? How much will they each have?  Answer like this: In ___ months, they will both have ____

What is in 7 months they will both have $260.

300

Graph the system of equations and then give the solution point.

y=−2/3x+2

y=−1/3x+1

What is (3, 0)

300

Solve using any method:


x+3y=−5

−2x+4y=−20

What is (4, -3)

400

Use Elimination:


3x+4y=7

4x−4y=28

What is (5, -2)

400

Use substitution

y=−6/5x+21

y=−4/3x+23

What is (15, 3).

400

Dustin goes to a fast food restaurant and orders some tacos and burritos. He sees on the nutrition menu that tacos are 230  calories and burritos are 490 calories.  If he ordered 12 items and consumed a total of 4060  calories, how many tacos and how many burritos did Dustin order and eat?  

What is Dustin ate 7 tacos and what is Dustin ate 5 burritos.

400

Solve the system of equations by graphing:

y=−2x+2

y=−1/2x−1

What is (2, -2)

400

DAILY DOUBLE!
Solve:

8x+6y=24

4x+3y=9

What is no solution.

500

Use Elimination:


3x+2y=2

x−2y=6

What is (2, -2)

500

Solve the following system of equations with the substitution method (give answer in coordinate form): 

y=9/4x−30 

y=−10/3x+37

What is (12, -3)

500

The Nut Shack sells hazelnuts for $7.10 per pound and peanuts nuts for $4.10 per pound.  How much of each type should be used to make a 31 pound mixture that sells for $5.65 per pound?

Round answers to the nearest pound.

What is 16 pounds of hazelnuts and what is 15 pounds of peanuts.

500

Graph the system of equations and then give the solution point.

y=2/3x−4

y=1/3x−3

What is (3, -2)

500

Solve the system:


−10x+2y=−10

−15x+3y=−15

What is infinitely many solutions

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