Topic 1 and 2 Review

Linear Equations

100

What is the linear equation for the following scenario? Carly walks her dog at a constant rate. It takes her one hour to walk 5 miles

y=5x

200

What is the linear equation for the following scenario? Amy paints at a constant rate. She paints 24 square feet in 6 minutes.

y=4x

300

What is the linear equation for the following scenario? 

Jackie likes to run. She got part way through her run and wanted to figure out how long it would take her to complete the run. She ran 3 miles so far and runs 3 miles in an hour.

y=3x+3

400

What is the linear equation for the following scenario? 

Nicole begins with 12,000 in her bank account. She withdraws 200 dollars each week for student loans and also withdraws 100 each week for groceries.

y=-300x+12,000

500

Two points on a line are (2,14) and (4,26).

What is the linear equation of this line?

y=6x+2

Scientific Notation & Standard Form

100

What is 360,000,000,000 in Scientific Notation?

3.6 x 10¹¹

200

What is 0.00376984 in Scientific Notation?

3.76984 x 10^-3

300

What is 62,000,010,000,000,000 in Scientific Notation?

6.200001 x 10¹⁶

400

What is 4.35629 x 10⁸ in standard form?

435,629,000

500

What is 9.020209 x 10^-5 in standard form?

0.00009020209

Square and Cube Roots

100

Solve the following equation:

x²=81

x=9 and -9

200

Solve the following equation:

x³=64

x=4

300

Solve the following equation:

x²=256

x=-16 and 16

400

Solve the following equation:

x³=1,728

x=12

500

Solve the following equation:

x³=2000

x= cubed root of 2000

Slope Formula

100

Use the slope formula and the following two points to find the slope. (5, 25) and (7, 35)

5

200

Use the slope formula and the following two points to find the slope. (10, 90) and (20, 180)

9

300

Use the slope formula and the following two points to find the slope. (4, 52) and (11, 143)

13

400

Use the slope formula and the following two points to find the slope. (7, 119) and (23, 391)

17

500

Use the slope formula and the following two points to find the slope. (1.5, 4.5) and (16, 48)

3

Comparing Unit Rates

100

Jamie runs 1 mile in 6.5 minutes. Mac runs 3 miles in 18.75 minutes. Who runs faster?

Mac

200

Train A can travel a distance of 250 miles in 4 hours. Train B can travel 150 miles in 2.5 hours. Which train travels faster?

Train A

300

Luke swims 7 laps in 2 minutes. Alison swims 10 laps in 4 minutes. Who swam faster?

Luke

400

Krista dribbles the soccer ball down the field in 27 seconds. Kaylie dribbles the soccer ball down and back in 52 seconds. Who is faster?

Kaylie

500

Lena jump ropes 125 times in one minute. Emily jump ropes 360 times in 3 minutes. Who jump ropes faster?

Lena