Vocabulary
Modeling Equations
Graphing
Writing Equations
Substitution/Elimination
100

This is where the graph crosses the y-axis

What is the y-intercept?

100

SOLVE: x + 7 = 2x + 3

x = 4

100

What are these called on a graph?

 (-3, 4)

What is coordinates or ordered pair

100

The ferris wheel is 75 feet taller than the zipper. If the ferris wheel is 315 feet tall, how tall is the zipper?

 Define a variable, write an equation, and state the solution.

x- the height of the zipper, x + 75= 315, x=240 feet

100

Solve this system:

y=3

x+y=5

x=2

y=3

(2,3)

200

rise over run

What is the slope?

200

SOLVE: 5x + 2 = 4x + 8

x = 6

200

Draw and label an x and y axis

Lemme see

200

A giraffe is 18.7 feet taller than a camel. If a giraffe is 42.5 feet tall, how tall is a camel? Define a variable, write an equation and state the solution.

What is x= height of a camel, x+ 18.7= 42.5, x= 23.8 ft

200

Solve this system

x+2y=5

y=x+1

x=1

y=2

(1,2)

300

This is the name of the solving method that involves replacing a variable with an expression it is equal to.

What is substitution?

300

Write 2 equations that are equivalent. Show that they are equivalent.

Answers vary.

300

Draw a graph and identify a solution. 

Answers vary.

300

Susan paid $4.15 for a slice of pizza. She now has $12.30. How much money did she start with? Define a variable, write an equation and state the solution.

What is x= amount of money she started with, x - 4.15=12.30, x = 16.45

300

Solve this system:

2x-y=4

y=x+2

x=6

y=8

(6,8)

400

This is the solving method in which we eliminate a variable from a system of equations in order to solve for the other. 

What is elimination?

400

SOLVE: 

2(3x-5)=20

x= 5

400

Write an equivalent equation that reflects the slope and vertical intercept for 5x+4y=20.

y=-5/4x+5

400

Melissa bought some shirts at $10 each and some pants at $30 each. She spent $110 before tax.

Write an equation and define the variables. 

10x + 30y = 110

x = shirts

y = pants

400

Solve this system:

 2x +  y = 5

-2x +2y = 7

x=1/2

y=4

(1/2 , 4)

500

This is when the equations have the same slope, but different y-intercepts. 

What is no solutions?

500

SOLVE to the nearest whole number: 

-3(x+5)-7=11

x=-11

500

What is the slope of the linear equation 8x+7y=34?

-8/7

500

Bob bought some almonds at $5 a pound, and some dried figs at $10 a pound. She spent $75 before tax. 

Define the variables, write an equation.

5x + 10y = 75

x is almonds, y is figs

500

Solve this system:

3x + 2y = 5

2x + 3y = 5

x = 1

y = 1

(1,1)