Slope
Equations
Systems
Functions
Transformations
100
Find the slope of the line passing through the points (2,3) and (5,9).
2
100
Solve:
-2x+5=11
x=-3
100
Find the solution to the system below:
y=2x+1
y=-x+4
(1,3)
100
Using the table below determine f(2)+f(6)
-2
100
200
Find the slope of the line passing through the points (-1,4) and (3,-8).
-3
200
Solve:
4x-9=-25
x=-4
200
Determine the solution to the system:
3x+2y=12
x-2y=4
(4,0)
200
Given the function g(x)=3x-7 , find the value of x when g(x)=14 .
x=7
200
A point A(3,2) is reflected across the x-axis. What are the coordinates of the new point A' ?
(A) (-3, -2)
(B) (-3, 2)
(C) (3, 2)
(D) (3, -2)
(D) (3, -2)
300
Line A passes through the points (-3,-2) and (4,5). Line B passes through the points (-1,0) and (3,8). Which line has a steeper slope?
Line B
300
Solve:
-3x+7=2x-8
x=3
300
What coordinate will satisfy the system?
-2x+3y=7
4x-5y=-11
(1,3)
300
Given the function h(x)=x^2 -4x+5 , find h(3) .
h(3)=2
300
A point B(2,4) is first translated 3 units to the right and 2 units down. Then it is reflected across the y-axis. What are the coordinate of the final point B'' ?
(A) (-5, 2)
(B) (5, 2)
(C) (5, -2)
(D) (-5, -2)
(A) (-5,2)
400
What is the slope of the line represented by the equation 3x-4y=12 ?
3/4
400
Solve:
-1/2 x+6=1/4 x-3
x=12
400
Solve the system:
2x+3y=11
5x-2y=18
(4,1)
400
Given the functions f(x)=2x+3 and g(x)=-x+9 , find the point where f(x)=g(x) .
(2,7)
400
A point C(-1,3) undergoes the following transformations:
translate 4 units to the right, reflect across the x-axis, and translate 2 units up
What are the coordinates of the final point C''' ?
(A) (3, 1)
(B) (-3, -1)
(C) (3, -1)
(D) (-3, 1)
(C) (3,-1)
500
A parking garage charges a flat fee plus and hourly rate. After 2 hours, a customer owes $18. After 5 hours the customer owes $36.
PART A: Find the slope of the line representing the relationship between hours and cost.
PART B: What does the slope represent in this context?
PART C: Write the equation of the line in slope-intercept form.
PART A: 6
PART B: Owes $6 per hour
PART C: y=6x+6
500
Solve:
-2(x+4)-3=1/3 (6x-9)+5
x=-13/4
500
A movie theater sells popcorn and drinks. On Friday night, they sold 50 items total and made $206. Popcorn costs $5 per item and drinks cost $3 per item. How many popcorns and how many drinks did they sell?
28 popcorns
22 drinks
500
Given the function f(x)=x^2 -5x+6 , find the value(s) of x where f(x)=0 .
x=2 and x=3
500
A point D(2,-3) undergoes the following transformations:
reflected across the y-axis, dilated by a scale factor of 2, rotated 90 degrees counterclockwise, and translated 3 units to the right and 2 units down
What are the coordinates of the final point D'''' ?
(A) (9, 6)
(B) (9, -6)
(C) (-9, -6)
(D) (-9, 6)
(B) (9, -6)