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Word problems and more...
100

What is the solution?

(-1,1)

100

Solve the systems of equations using substitution:

-3x + 4y = -2

y = -5

(-6, -5)

100

Solve the systems of equations using Elimination:

14x + 2y = 26

-14x - 6y = -50

(1, 6)

100

What strategy would you use?

14x + 2y = 26

-14x - 6y = -50

elimination

100

Two numbers have a sum of 117. The larger number is 42 less than twice the smaller number. 

Which is the system of equations that can help you solve this problem?

x+y=117

y=2x-42

200

How many solutions are there?

No Solutions

200

Solve the systems of equations using substitution:

-5x - 5y = 10

y = -4x -17

(-5, 3)

200

Solve the systems of equations using Elimination:

-3x - 5y = 2

3x + 5y = 7

No Solution

200

What strategy would you use?

-5x - 5y = 10

y = -4x -17

substitution

200

Two numbers have a sum of 117. The larger number is 42 less than twice the smaller number. Which are the numbers?


x=53

y=64

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 system of linear equations below?

3x - y = 19

-3x + y = 10

No Solutions

300

The sum of two numbers is 75 and their difference is 19. Find the larger of the two numbers. 



47

400

How many solutions are there?

Infinitely Many Solutions

400

Solve the systems of equations using substitution:

-8x - 5y = -24

-x + y = 10

(-2, 8)

400

Solve the systems of equations using Elimination:

-3x - 24y = -66

3x + 4y = -14

(-10, 4)

400

Is the given point a solution to the system of equations? 

Point:  (2,6)

x + y = 8

3x - y = 0

Yes

400

Rich has $8.10 in his piggy bank which consists of 82 coins that are nickels and quarters. How many of each coin does Rich have?

20 quarters and 62 nickels

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

Is the given point a solution to the system of equations?

Point: (1/2, -2)

6x + 5y = -7

2x - 4y = -8

No

500

Georgia bought 3 pens and 4 notebooks for $26.50 from the bookstore. She later bought 7 pens and 5 notebooks for $41.25 from the same bookstore. How much would you have to pay for 2 pens and 2 notebooks?

Pens $2.50 each

Notebooks $4.75 each

$14.50