Linear Equations
Find the slope of the equation below.
y=2x+3
m=2
Solve the equation below for x.
3x-2=10
x=4
How many solutions does the equation have below?
2x-3=x+1
One solution
Find the equation of a line with a slope of -8 and a y-intercept of 3.
y=-8x+3
Write an equation to represent the situation below.
Kayla babysits and charges $7 per hour and a flat fee of $3.
y=7x+3
Find the slope between the two points below.
(2,3) and (-3,8)
m=-1
Solve the equation below for x.
-2x-14=5x
x=-2
How many solutions does the equation have below?
2x-x+5 = x+6
No solutions
Write the equation below in slope-intercept form.
y+2x=3
y=-2x+3
Write an equation to represent the situation below.
Danny delivers groceries and charges a rate per mile and also a fixed delivery fee. He charges $4 per mile and $15 dollars to deliver.
y=4x+15
What is the y-intercept of the equation below?
2x+3y = 6
(0,2)
Solve the equation below for x.
2x-x=5x
x=0
How many solutions does the equation have below?
5x-3+2-x = 2x+5-6+2x
Infinite solutions
Find the equation of the line that passes through the point (0,-1) and has a slope of 4
y=4x-1
Write an equation to represent the situation below.
A large bathtub already contains 6 gallons of water. A faucet is turned on and continues to fill the bathtub at a rate of 1/2 gallon per minute. How many total gallons of water will be in the bathtub when the faucet has been on for 5 minutes?
8 1/2 gallons
What is the x-intercept of the equation below? 3x+4y=9
(3,0)
Solve the equation below for x.
2(x-1)+3=x-1
x=-2
How many solutions does the equation have below?
2x-12+3x-x+24 = 2x-3x+12-24
One solution
Find the equation of the line that passes through the points below.
(0,4) and (2,8)
y=2x+4
A plane is currently at 7,000 feet. It is descending at a rate of 125 feet per minute. How long will it take for the plane to reach the ground?
56 minutes
Write the equation below in slope-intercept form.
4x-2y=7
y = 2x-7/2
Solve the equation below for x.
3x-4 = 2x-1
x=3
How many solutions does the equation have below? 4x-12x+2-x+13 = -10x-2+x+17
Infinite Solutions
Find the equation of the line that passes through the points below.
(4,2) and (5,9)
y=7x-26
Write the equation of the line and answer the question below.
You work at a restaurant that gave you a sign on bonus of $300. You then get $7.50 an hour to bus tables. If you worked 120 hours the first month, how much did you make?
y=7.50x+300
You made $1,200