Solving Equations
Slope intercept form
Point intercept form
Slope
Word problems
100
Solve for x.
x+3=10
x=7
100
Create a slope intercept equation (y= mx + b), if the slope is 2 and the y-intercept is 7.
y=2x+7
100
Create a point- slope equation (y-y1=m (x - x1)), if the slope is 6 and the point is (4, 12)
y-12=6(x-4)
100
Tell me the slope of the following equation.
y=-6x+5
m=-6
100
A plumber charges a fee of $50 to make a house call. He also charges $25 an hour for labor. Write an equation that you could use to find the amount a plumber charges for a house call based on the number of hours of labor. Let x represent the number of hours for labor and y represent the total cost.
y=25x+50
200
Solve for x.
5x+7=32
x=5
200
Create a slope intercept equation (y= mx + b), for the table below.
y=2x+11
200
Create a point- slope equation (y-y1=m (x - x1)), if the slope is 3 and the point is (2, 3)
y-3=3(x-2)
200
Tell me the slope of the graph.
m=-3/2
200
An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. Write an equation to represent the height of the airplane in feet above the ground f(x) in relationship to time in minutes x
y=2,000x+30,000
300
Solve for x.
x/2-6=6
x=24
300
Create a slope intercept equation (y= mx + b), for the graph below.
y=-2x+3
300
Create a point- slope equation (y-y1=m (x - x1)), if the slope is 5 and the point is (-7, -2)
y+2=5(x+7)
300
Tell me the slope (rise/run) of the graph.
m=9
300
A new school has opened in the area. The school did not have yearbook before 2010. In 2010 there were 500 yearbooks sold. In 2014 there were 1000 yearbooks sold. Write the linear function that represents the number of yearbooks sold per year, f(x), where x is the number of years since 2010.
y=125x+500
400
Solve for x.
3(x-4)=36
x=16
400
Create a slope intercept equation (y= mx + b), If the slope is 5 and the line passes through (1, -7)
y=5x-12
400
Create a point- slope equation (y-y1=m (x - x1)), if the slope is 2/3 and the point is (3, 2)
y-2=2/3(x-3)
400
Tell me the slope of the table.
m=3
400
Howard decided to start jogging every day at the track. He completes the following chart for the first month (4 weeks) that he jogs every day. Use the table to write an equation to represent the number of laps l Howard runs if t is the time in weeks since he began jogging.
y=x+4
500
Solve for x.
3x+5=6x-10
x=5
500
Create a slope intercept equation (y= mx + b), for the two points
(-7, -3) and (-3, 5)
y=2x+11
500
Create a point- slope equation (y-y1=m (x - x1)), for the two points
(-3,1) and (5,4)
y-4=3/8(x-5) or y+3=3/8(x-1)
500
Find the slope of the two points.
(-3, 2) and (6, 4)
m=2/9
500
In the first heat, Leslie, Kristin, and Evie rode tricycles toward the finish line. Leslie began at the starting line and rode at a constant rate of 2 meters every second. Kristin got an 8-meter head start and rode 3 meters every 5 seconds. Evie rode 5 meters every 4 seconds and got a 6-meter head start. Give me the linear equation for Leslie, Kristin, and Evie.
Leslie:
y=2x
Kristin:
y=3/5x+8
Evie:
y=5/4x+6