8th Grade Midterm Review

Rational Numbers/Square Root and Cube roots

100

Give me three examples of rational numbers and three examples of irrational numbers.

Answers will vary.

200

Solve x²=7

x= plus or minus square root of 7

300

What is the approximate value of the square root of 74?

8.6

400

Put in order from least to greatest. 

3.7,  sqaure root of 5, -4, -9/4, 1/2

-4, -9/4, 1/2, square root of 5, 3.7

500

Solve the equation:

x³=-215

cube root of -215

Exponent Properties

100

What is 5⁰?

1

200

Rewrite using a positive exponent

7^-6

1/7⁶

300

Write an equivalent expression for 

12³x12⁹x12⁴x12²

12¹⁸

400

Simplify the expression using positive exponents

3⁴/3⁹

1/3⁵

500

Simplify

7^-2(-3)²

9/49

Scientific Notation

100

Express 80,000 in scientific notation 

8x10⁴

200

Express 8.19x10¹⁸

8,190,000,000,000,000,000

300

Write 0.0000005812 in scientific notation. 

5.812x10^-7

400

Julia wants an easier way to write 0.0000000000000000587.

Write this is scientific notation. 

5.97x10^-17

500

The largest virus known to man is the Megavirus, which measures 0.00000044 meter across. Express this number in scientific notation. 

4.4x10^-7

Solving Equations

100

Sole for c.

78-c=99

c=21

200

49x+9=49x+7

No solution 

300

3(x+2)=2(x+5)

x=4

400

4x+x+4=8x-3x+4

Infinitely many solutions

500

5x-3(x-3)=-6+6x-5

x=5

Slope/Y-intercept

100

What is the slope formula?

y₂-y₁/x₂-x₁

200

Find the y-intercept.

https://s3-us-west-2.amazonaws.com/courses-images-archive-read-only/wp-content/uploads/sites/924/2015/11/25201057/CNX_Precalc_Figure_02_02_0102.jpg

4

300

Find the slope of the points (0,6) and (20,14)

2/5

400

Explain in your own words how you would find the equation of a graph. Think y=mx+b

Answers vary

500

Graph the equation

y=2x+4

Answer on graph