Solutions

Substitution

Elimination

Writing

Random

100

What is the solution to the system?

(1, -1)

100

Joey has to solve the system of equations using substitution. He has completed the work shown. What should be his next step?

Substitute it into the first equation

100

Janiah is solving the system using elimination. Her first step is shown. What should be her next step?

Subtract the equations

100

Ivy and Cammie sold tulip and daffodil bulb packages for their spring fundraiser. Ivy sold 12 packages of tulip bulbs (x) and 14 packages of daffodil bulbs (y) for a total of $180.00. Cammie sold 9 packages of tulip bulbs and 16 packages of daffodil bulbs for a total of $168. Write a system of linear equations can be used to find the price per package for each of the two kinds of bulbs?

12x + 14y = 180

9x + 16y = 168

100

Jillian is solving the system of equations using elimination. Her work is shown. What should be her next step.

Plug it in to solve for y

200

Given that the the graph represents a system of equations on a coordinate plane, how many solutions does the system have?

One Solution

200

The two lines given by the equations intersect in the xy-plane. What is the value of the y-coordinate of the point of intersection?

3x − 2y = 15

x = 3

-3

200

To solve this system of equations by addition, what could you multiply each equation by to cancel out the x-variable?

A: 5x − 2y = 10

B: 4x + 3y = 7

A: 4

B: -5

or

A:-4

B: -5

200

Anna is selling tickets to the school's gymnastics competition. On the first day, she sells 5 adult tickets and 6 child tickets for a total of $58.00. On the second day, she sells 8 adult tickets and 11 child tickets for a total of $97.00. Write a system of linear equations can be used to determine the cost of each adult ticket (x) and each child ticket (y)?

5x + 6y = 58

8x + 11y = 97

200

What method would be best to solve this system of equations.

3x + 4y = 14

x = 2y - 12

Substitution

300

Given that the the graph represents a system of equations on a coordinate plane, how many solutions does the system have?

No solution

300

Solve the system of equations using substitution.

y = x + 2

2x - y = -4

(-2, 0)

300

Heather has to solve this system of equations using elimination. What should be her first step?

Multiply the second equation by -3

300

At a sale, Salazar bought 4 t-shirts and 2 pairs of jeans for $160. At the same store, Jenna bought 1 t-shirt and 3 pairs of jeans for $140. The t-shirts were the same price, and the jeans were all the same price. Write a system of equations that can be used to represent this situation.

4x+2y=160

x+3y=140

300

What is the solution of the system?

(-3,12)

400

The graph represents the rate of two machines that fill water barrels. One machine has already filled 30 water barrels before the faster machine starts. According to the graph, about how many minutes will pass before the two machines have filled about the same number of barrels?

5 minutes

400

What is the solution of the following system of equation?

y = 6x – 1

y = 6x + 1

no solution

400

Solve the system of linear equations using elimination.

−9x − 10y = 17

−10x − 10y = 10

(7, -8)

400

Find the two numbers whose sum is 26 and whose difference is 12.

19 and 7

400

What point represents the solution to the system?

R

500

The graph represents the rate of two machines that fill water barrels. One machine has already filled 30 water barrels before the faster machine starts. According to the graph, the two machines will have filled a certain number of water barrels at about the same time. What is that number of barrels?

50 Barrels

500

Solve the system.

x = 2

3x + y = 5

(2, -1)

500

What would you do to solve this system of equations by elimination?

3x - y = 7

6x - y = 10

Subtract

500

Gina bought 5 hot dogs and 3 soft drinks at the ball game for $11.50. Renaldo bought 4 hot dogs and 2 soft drinks for $8.50. How much does a single hot dog and a single drink cost?

Hot Dog:1.25

Soft Drink: 1.75

500

Compare the slopes and y-intercepts for the equations in this system of equations. How many solutions does this system of equations have?

y=1/3x-1

y=1/3x

no solution

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