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Word Problem
100

What does x equal in the system below?

-4x + 3y = 13

x = -1

What is x = -1?

100

What does x equal in the system of equations?

y = 6x + 9

y = -3x

What is x = 1?

100
Which variable would you find first if you substitute right away?


x = 3y - 3

-3x + 6y = 0

What is y?

100

Which equation would you manipulate first to use substitution?

"I would solve the ____ equation for _____."

5x + y = 13

4x + 3y = 17


What is

I would solve the top equation for y"

100

Write the system of equations for the scenario below.

Ryan and Jack are riding their bike and keeping track of their total miles in 2021.

Ryan has already accumulated 102 miles this year and rides 2 miles per day.

Jack is just starting but rides 5 miles per day.

What is

y = 2x + 102

y = 5x?

200

What is the solution to the system?

2x + 4y = 10

y = 2

What is (1, 2)?

200

What does y equal in the system of equations? 

y = x + 2

y = -2x - 13

What is y = -3?

200

What does y equal in the system of equations?

x = 3y - 3

-3x + 6y = 0

What is y = 3?

200

What does x equal in the system?

5x + y = 13

4x + 3y = 17

What is x = 2?

200

JJ and Dane are saving their allowance.

JJ already has $2000 and he's saving $10 per week.

Dane doesn't have anything but he's saving $30 per week.

How many weeks until they have the same amount of money?

What is 100 weeks?

300

Which line is the first error in?

2x + 5y = -14

y = -2

Line 1: 2x + 5(-2) = -14

Line 2: 2x + 10 = -14

Line 3: 2x = -24

Line 4: x = -12

Line 5: (-12, -2)

What is Line 2?

300

What is the solution to the system of equations?

y = -2x + 5

y = 7x - 13

What is (2, 1)?

300

What does x equal in the system?

-2x + 5y = -18

y = 2x + 6

What is x = -6?

300

What is the solution to the system of equations?

5x - 3y = -14

x - 4y = 4

What is (-4, -2)?

300

The difference of two numbers is 18.

One of the number is 1 less than double the other number.

Write the system for this scenario.

What is

x - y = 18

x = 2y - 1

400

Which variable is the bigger number in the system?

3x - 6y = 15

x = 1


What is x?

(x = 1, y = -2)

400

y = -2x + 1

y = -3x - 2

Where is the first error?

Line 1: -2x + 1 = -3x - 2

Line 2: x + 1 = -2

Line 3: x = -1

Line 4: y = -2(-1) + 1

Line 5: y = 3

Line 6: (-1, 3)

What is Line 3?

400

What is the solution to the system of equations?

-2x + 5y = 23

x = -3y + 16

What is (1, 5)?

400

What is the solution to the system of equations?

3x - 5y = 23

x + 6y = 0

What is (6, -1)?

400

The sum of two numbers is 92.

One of the number is 4 more than triple the other number.

What are the two number?

What is 22 and 70?

500

What is the solution to the system?

2x - y = 12

y = -4

What is (4, -4)?

500

y = -0.5x - 4

y = 1.25x + 3

What is (-4, -2)

500

What is the solution to the system of equations?

-x - 7y = 16

x = 4y + 6

What is (-2, -2)?

500

What is the solution to the system?

-7x + 7y = -21

-4x - 6y = -12

What is (3, 0)?

500

The difference between two numbers is 17.

The sum of twice the bigger number and the smaller number is 13.

What is the smaller number?

What is -7?

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