Vocab
Solving by Graphing
Solving by Elimination
Solving by Substitution
Word Problems
100
More than one equation to be solved at the same time is know as this.
What is System of Equations
100

Solve the system by graphing:

y = x + 4
y = 2x + 5

What is (-1,3)

100

The solution to the system of equations:

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

What is (-8, 2)?

100

The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)

100

The sum of two numbers is 104. Their difference is 68. Write a system of equations. 

x + y = 104

x - y = 68

200
The ratio of rise to run
What is slope?
200
The solution to the system of equations:

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

What is (0, -2)?
200

The solution to the system:

8x + 5y = 9
2x - 5y = -4

What is (0.5, 1)?

200

The solution to the system

y = x - 2
3x - 1y = 16

What is (7, 5)

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. Write a system of equations. 

6x + 8y = 700

9x + 6y = 660

300
The answer to an equation or system of equations.
What is a solution set?
300

The solution to the system of equations

y = (1/3)x - 3

y = 2x - 8

What is (3, -2)

300

The solution to the system:

-2x - 9y = -25

-4x - 9y = -23

What is (-1, 3)?

300

The solution to the system

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

What is (3, 8)

300

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Write a system of equations.

3x + 1y = 38

3x + 2y = 52

400
y = mx + b is more formally known as this.
What is slope-intercept form.
400

The solution to the system of equations:

y = -3
x = 5

What is (5, -3)

400

The solution to the system

5x + y = 9

10x - 7y = -18

What is (1, 4)?

400

The solution to the system

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

What is (-2, -5)

400

The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Write a system of equations. 

8x + 8y = 240

4x + 1y = 54

500

y = m(x - x1) + y1 is known as what equation?

Point-slope form

500

The solution to the system of equations:

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

What is no solution?

500

The solution to the system:

16x - 10y = 10

-8x - 6y = 6

What is (0, -1)?

500

The solution to the system

x = 2y + 1

x = y - 3

What is (-7, -4)?

500

Mr. Vogel left $25,000 for his children, divided between his son and daughter. The daughter received $5000 less than the son. Write a system of equations. 

x + y = 25000

x = y - 5000

M
e
n
u