Scientific Notation
What is 3 * 102
300
Solve for x:
x + 5 = 12
x = 7
Collect like terms
x + 3 + x
2x + 3
Xander ran 100 miles in 4 hours. How many miles did he run per hour?
25 miles per hour
What is x in this equation, if y = 7?
y = x + 4.
x = 3
What is 3 * 10-3
0.003
Solve for x:
3x - 4 = 11
x = 5
Collect like terms
2 + x + x + 3
2x + 5
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 x = y + 5, substitute the first equation into the second to solve for x. (Do not solve)
x = 2x + 5
What is 5 * 105 + 5 * 105
106
5x + 2 = 3x + 10
x = 4
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
Given y = 2x and y = x + 5, substitute the first equation into the second to solve for x. (Do not solve)
2x = x + 5
What is 3.2 * 107 - 2 * 106
107
4(x-3)=16
x = 7
Collect like terms.
x - 5 + 2x - 3 + 2
3x - 6
Continue the pattern for two more numbers.
x: 1, 2, 3, 4, 5, 6
y: 35, 70, 105, 140, ?, ?
175, 210
Solve the system: 2x + y = 10 and y = 3x
2x + 3x = 10
5x = 10
x = 2
y = 6
What is 7 * 1010 - 9 * 109
6.1 * 1010
7x - 5 = 4x + 13
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 two equations that model this situation.
movie + popcorn = 11
movie = popcorn + 3
OR
m + p = 11
m = p + 3