Slope
Vocabulary
Solving for Slope
Unit Rate
Two Step Equations
100
Slope is: (2 answers)
A. Rise over run
B. Run over Rise
C. M = (y2 - y 1) / (x2- x1)
A. Rise over run
C. M = (y2 - y 1) / (x2- x1)
100
A positive slope means:
A. Y = -4x
B. Y = 6x
C. Y = -1/2x
B. Y = 6x This means: Move up 6, right 1
100
The two points are: (3 , 5 ) and (9 , 12).
Calculate the slope.
M = Y2- Y 1
X2 - X1
(3 , 5 ) and (9 , 12)
M = Y2- Y 1 = 12- 5 = 7
X2 - X1 9 -3 6
100
Khalil has superpowers and ran 24 miles in 3 minutes. How quickly did he run in 1 minute?
24 miles= 24miles divide 3 min.= 8 miles in 1 min.
3 minutes
Answer: 8 miles in 1 minute
100
2x + 4 = 16
What is the first step:
A. Divide 2 on both sides
B. Subtract 4 on both sides
2x + 4 = 16
What is the first step:
B. Subtract 4 on both sides.... Now solve for the variable! (Bonus: 100 points)
200
The equation for slope intercept form is:
A. y2-y1 / x2 - x 1
B. Y = mx + b
C. M = Rise / run
B. Y = mx + b
200
Y Intercept means:
A. When the line crosses the X - Axis
B. When the line crosses
C. When X = 0 and where the line crosses Y - Axis
C. When X = 0 and when the line crosses Y - Axis
200
The two points are: (0 , -2 ) and (4 , 7).
Calculate the slope.
M = Y2- Y 1
X2 - X1
(0 , -2 ) and (4 , 7)
M = Y2- Y 1 = 7- -2 = 9
X2 - X1 4 -0 4
200
Unit rate means:
A. Adding it all up to get the total
B. Finding how much of something for 1 unit
B. Finding how much of something for 1 unit
Ex: 24miles= 24miles div 3 min.= 8 miles in 1 min.
3 minutes
200
5x + 8 = 28
What is the SECOND step:
A. Divide 5 on both sides
B. Subtract 8 on both sides
5x + 8 = 28
What is the SECOND step:
A. Divide 5 on both sides
(bonus 100 points: What is X? )
300
Y = 3/4 x + 6 . The slope in the equation is:
A. 3
B. 4
C. 6
D. 3/4
Y = 3/4 x + 6
D. 3/4 (the number in front of the x)
300
X- Axis is:
A. The vertical line (up/down)
B. The horizontal line (left/right)
B. The horizontal line (left/right)
300
Solve for the slope given two points
(6 , 2 ) and (5 , 8)
M = Y2- Y 1
X2 - X1
(6 , 2 ) and (5 , 8)
M = Y2- Y 1 = 8- 2 = 5
X2 - X1 5 -6 -3
300
Jaovanni drives a car for his road trip from MD to Florida. He drove 150 miles in 3 hours. How far did he drive in 1 hour?
150miles= 150 miles div 3 hr= 50 miles in 1 hr
3hr
Answer: 50 miles in 1 hr
300
8 x + 4 = 28
How many groups do you have?
A. 8 groups
B. 4 groups
8 x + 4 = 28
How many groups do you have?
A. 8 groups (8 groups of something)
(bonus 200 points: Solve for x)
400
The slope in the equation: Y = -5x 4 is:
A. Right 5, Up 1
B. Up 5, right 1
C. Down 5, right 1
Y = -5x 4
C. Down 5, right 1
A negative slope means: down, right
400
A variable is:
A. a number (Ex: 3, -6)
B. a letter that represents a number (Ex: K, L, A)
C. the number in front of a letter (Ex: 4E, 2R)
B. a letter that represents a number (Ex: K, L, A)
400
Eileen was given the two points: (7 , 0 ) and (2 , 4)
M = Y2- Y 1 = 2 - 7 = -5
X2 - X1 4- 0 4
What was her mistake?
Eileen was given two points: (7 , 0 ) and (2 , 4)
Y2- Y 1 = 2 - 7 = -5 (these are X-values, not y) X2 - X1 4- 0 4 (these are Y-values, not X)
400
Solve for the unit rate.
Sam drove 220 miles using 8 gallons of gas.
How far did he drive for 1 gallon of gas?
220 miles divide 8 gallons = 27.5 miles for 1 gallon
400
3 x + 8 = 38
What does x equal to?
3 x + 8 = 38
- 8 - 8
3 x = 30 Now divide both sides by 3
x = 10
500
The two points are: (1 , 2 ) and (4 , 7).
Calculate the slope.
M = Y2- Y 1
X2 - X1
M = Y2- Y 1 (1 , 2 ) and (4 , 7).
X2 - X1 x, y x2, y2
7 - 2 = 5
4 - 1 3
500
The constant in this equation is: Y = 7x - 4
A. 7
B. Up 7, right 1
C. -4
Y = 7x - 4
Answer: C. - 4 (a constant is a number)
500
Andy was given the two points: (2 , 3 ) and (4 , 1)
M = Y2- Y 1 = 1 - 3 = -2
X2 - X1 2- 4 -2
What was Andy's mistake?
Andy was given the two points: (2 , 3 ) and (4 , 1)
M = Y2- Y 1 = 1 - 3 =
X2 - X1 2- 4 (He put x1 first and not x2)
500
Luis read 124 pages in 4 hours.
Brenda read 168 pages in 6 hours.
Who read the most amount of pages in 1 hour?Luis: 124 pages divide 4 hours = 31 pages in 1 hr
Brenda: 168 pages divide 6 hours = 28 pages in 1 hr
Answer: Luis
500
Evaluate: 6x - 4 - 2x = ?
Evaluate: 6x - 4 - 2x = ?
6x - 2 x = 4x
The only constant is: -4, and can't combine it with anything else.
So you have: 4x - 4