Linear Equations
Find the slope of the equation below.
y = 2x +3
m = 2
Solve the equation below.
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 of the points below.
(2,3) and (-3, 8)
m = -1
Solve the equation below.
-2x - 14 = 5x
x = -7
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 fixed rate per mile and also a fixed delivery fee. He charges $4 per mile and he made $19 for one delivery.
y = 4x + 5
What is the y-intercept of the equation below?
2x + 3y = 6
(0, 2)
Solve the equation below for w.
2w - x = 5g
(x+5g) /2
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 (1,3) and has a slope of 4.
y = 4x -1
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.
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 z.
3z - 4x = 2z -1
z = 4x -1
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 on 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