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Vocab
Finding Slope and Y-intercept
Standard to Slope-intercept form
Solving Systems
Word Problems
100

The 'steepness' of the line, also commonly known as rise over run

Slope

100
What is the equation for Slope intercept form
y=mx+b
100

What is the equation for slope-intercept form?

y = mx + b

100

The solution to the system:

x = 4y
2x + 3y = 22

(8, 2)

100

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

86 and 18

200

The y-coordinate of a point where a line, curve, or surface intersects the y-axis

y-intercept

200
Determine the slope and y-intercept of the following equation. y = 3x +5
m=3 b=5
200

Write the following equation in slope-intercept form:

3x + 4y = 24

y = -3/4x + 6

200

The solution to the system

y = x - 2
3x - y = 16

(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. What was the cost of one shirt?

$30

300

More than one linear equation that can be solved. The solution is the point of intersection where the lines meet.

System of equations

300
Determine the slope and y-intercept of the following equation. y = -2x +9
m=-2 b=9
300

Write the following equation in slope-intercept form: 2x + 5y = 60

y = -2/5x + 12

300

The solution to the system:

8a + 5b = 9
2a - 5b = -4

(0.5, 1)

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.

400 advanced tickets, 200 game-day tickets

400

It is a location on a coordinate grid. (x, y)

Ordered pair

400
Determine the slope and y-intercept of the following equation. y = -x +3
m=-1 b=3
400

Write the following equation in slope-intercept form: 3x + 9y= 18

y = -1/3x + 2

400

The solution to the system

3s - 2t = 4
t = 2s - 1

(-2, -5)

400

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

26x13

500

If two equations have variables with the same coefficient, like 3x + 2y = 10 and 3x + y = 6, then we can subtract the equations to get rid of the 3x terms.

Elimination method

500
Determine the slope and y-intercept of the following equation. y = 3+x
m=1 b=3
500

Write the following equation in slope-intercept form: 18x + 27y = 162

y = -2/3x + 6

500

The solution to the system of equations:

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

No solution

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.

$15,000 for the son and $10,000 for the daughter