8th Interim 3 Review Q's :) – SPEED ROUND

Exponents

100

Simplify 8⁷/8⁵

8²

200

Simplify 6⁸/6²

6⁶

300

Write an equivalent expression to 

6^-3 • (6²)⁷

6¹¹

400

Write an equivalent expression to

7^-4 • (7³)⁷

7¹⁷

500

What are two expressions that are equivalent to
5^-3 • 5⁷

5⁷/5³ AND 5⁴

Scientific Notation

100

Rewrite 0.000000054 in scientific notation and round to the nearest whole number.

5 • 10^-8

200

Rewrite 0.00000048 in scientific notation and round to the nearest whole number.

5 • 10^-7

300

How many times more is 5 • 10⁶ than 6 • 10⁵?

8.3 

or 8.3 • 10⁰

400

How many times more is 8 • 10⁹ than 4 • 10⁷?

2 • 10² or 200

500

What is Ms. Sowder's dog's name?

Kindia <3

Systems of Equations/Equations

100

Give an example of a linear function of x.

Answers vary.

200

Give an example of a nonlinear function of x.

Answers vary.

Examples:

y = x² + 6

y = 5/x – 3

y = 3x³ – 7.6

300

Describe how you'd graph the following system of equations

3x + y = 8

–2x + 2y = 12

First, solve for y for each equation. 

Then, use the y-intercepts and x-intercepts to find the points.

400

How many solutions exist to the system of equations:

6x + 7y = –6

6x + 7y = 20

There is no solution because there are the same number of x's and y's.

500

Find the equations to: Alice spent $131 on shoes. Sneakers cost $15 and Fits cost $28. If she bought a total of 7 shoes, then how many of each kind of shoe did she buy?

Let x = Sneakers
Let y = Fits

Our first equation based on price is:
15x + 28y = 131

The second equation based on number is:
x + y = 7