Systems of Equations

Starts With S

100

More than one equation to be solved at the same time is know as this.

What is System of Equations

200

A way to solving systems of equations in which you plug in an expression to another equation.

What is substitution method?

300

The ratio of rise to run

What is slope?

400

The answer to an equation or system of equations.

What is solution?

500

y = mx + b is more formally known as this.

What is slope-intercept form.

Solving by Graphing

100

What is the solution to the system of equations below?

y = x + 4
y = 2x + 5

What is (-1,3)

200

The solution to the system of equations:

y = 3x - 2
y = -x - 2

What is (0, -2)?

300

The solution to the system of equations

y = 4x +3

y = -x - 2

What is (-1,-1)

400

The solution to the system of equations:

y = -1/2 x -1

y = 1/4 x - 4

What is (4, -3)

500

The solution to the system of equations:

y = 3x + 3
y = 3x - 2

What is no solution?

Solving by Elimination

100

The solution to the system of equations:

x + y = -6
x - y = -10

What is (-8, 2)?

200

The solution to the system:

2x + y  = 6 

2x - y = 2

What is (2,2)?

300

The solution to the system:

3x - 4y = -32

x + 4y = 48

What is (4,11)?

400

The solution to the system

x - 3y =3

2x + 3y = 15

What is (6,1)?

500

The solution to the system:

5x + 6y = -8

-4x - 6y = 10

What is (2,-3)

Solving by Substitution

100

The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)

200

The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)

300

The solution to the system

y = 3x - 1
7x + 2y = 37

What is (3, 8)

400

The solution to the system

3y - 2x = 4
x -2y = - 1

What is (-2, -5)

500

The solution to the system

y - 2x = -1

2x + 3y = -7

What is (-0.5 , -2)?

Word Problems

100

The sum of two numbers is 104. Their difference is 68. What are the numbers?

What are 86 and 18?

200

A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?

What is $30?

300

The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.

What is 400 advanced tickets, 200 game-day tickets?

400

The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width

What is 26x13?

500

The amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.

What is $15,000 for the son and $10,000 for the daughter?