Scientific Notation
Solving linear equations for x
Collecting Like terms
Unit rates and patterns
Systems of equations
100

What is 3 * 102

300

100

Solve for x:

x + 5 = 12

x = 7

100

Collect like terms

x + 3 + x

2x + 3

100

Xander ran 100 miles in 4 hours. How many miles did he run per hour?

25 miles per hour

100

What is x in this equation, if y = 7?

y = x + 4.

x = 3

200

What is 3 * 10-3

0.003

200

Solve for x:

3x - 4 = 11

x = 5

200

Collect like terms

 2 + x + x + 3

2x + 5

200

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. 

200

Given y = 2x and x = y + 5, substitute the first equation into the second to solve for x. (Do not solve)

x = 2x + 5

300

What is 5 * 105 + 5 * 105

106

300

5x + 2 = 3x + 10

x = 4

300

Collect like terms.

x + 2x + 3 - 1

3x + 2

300

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

300

Given y = 2x and y = x + 5, substitute the first equation into the second to solve for x. (Do not solve)

2x = x + 5

400

What is 3.2 * 107 - 2 * 106

107

400

4(x-3)=16

x = 7

400

Collect like terms.

x - 5 + 2x - 3 + 2

3x - 6

400

Continue the pattern for two more numbers.

x: 1, 2, 3, 4, 5, 6

y: 35, 70, 105, 140, ?, ?

175, 210

400

Solve the system: 2x + y = 10 and y = 3x

2x + 3x = 10

5x = 10

x = 2

y = 6

500

What is 7 * 1010 - 9 * 109

6.1 * 1010

500

7x - 5 = 4x + 13

x = 6
500

4x − 3y − 9x + 5y

−5x + 2y

500

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

500

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

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