Linear equations
Insert y = 3 into the equation. y + 6 = ?
9
Simplify 72
What is 49
1000 divided by 8
125
Xander walked 12 miles in 4 hours. At what rate does he walk?
3 miles per hour
What is y in this equation, if x = 4?
y = x + 4.
y = 8
Insert y = 3 into the equation. 10 - y/3 = ?
9
Simplify 33
27
4,826 x100
482,600
Joel likes Boba. He drinks 2 gallons of boba every 6 hours. At what rate does he drink boba?
0.33 or 1/3 gallons per hour.
Given y = 2x and y = x + 5, substitute the first equation into the second to solve for x. (Do not solve)
2x = x + 5
Solve for x.
x + 3 = 5
64
Collect like terms.
x + 2x + 3 - 1
3x + 2
Write a formula for this real-life situation in the form y = mx + b.
A candle is 6 inches tall and burns at a rate of 0.5 inches per hour.
y = 6 - 0.5x
Solve the system: y = 3x and y = x + 4.
What is x?
3x = x + 4
2x = 4
x = 2
Solve for x.
2x + 4 = 2
x = -1
Simplify x5 * x5
x10
Collect like terms.
x - 5 + 2x - 3 + 2
3x - 6
The temperature is 15 degrees and is expected to fall 2 degrees each hour during the night.
What is the temperature after 3.5 hours?
8 degrees
Solve the system: 2x + y = 10 and y = 2x
2x + 2x = 10
4x = 10
x = 2.5
y = 5
Solve for x.
3x + 2 = 2x - 3
x = -1
y8 * y4 / y3
4x − 3y − 9x + 5y
−5x + 2y
The population of Pine Bluff is 6791 and is increasing at a rate of 7 per year.
Write an equation in the form y = mx + b, AND what will the population be in 25 years.
y = 7x + 6791
6966
A movie ticket costs $3 more than a bag of popcorn. Together, one ticket and one bag of popcorn cost $11. Write and solve a system of equations to find the price of each.
m = p + 3
m + p = 11
p + 3 + p = 11
2p = 8
p = 4
m = 7