8th Grade Section 1 Review

Ch2 - Exponents

100

When multiplying exponents( i.e: x³ * x² ) you must do what to the exponents? (50 pts for answering example question)

add the exponents ( x⁵)

200

When dividing exponents( i.e: x^8 / x³ ) you must do what to the exponents? (50 pts for answering example question)

subtract the exponents (x⁵)

300

When power to power exponents( i.e: (x⁴)³ ) you must do what to the exponents? (50 pts for answering example question)

multiply, (x¹²)

400

what does x⁰ equal?

1

500

After getting a negative exponent, what do you do to the number to create a positive exponent (i.e: x³/x⁵). 50 pts for answering example correctly.

swap the numerator and the denominator, (1/x²)

Ch3 - Sci Notation

100

Why is Scientific Notation used?

To compare, operate, or comprehend very large or very small numbers.

200

Is the following listed correctly in scientific notation? Must elaborate and explain answer for full credit.

23.1 x 10⁴

coefficient must be larger than 1 and smaller than 10

300

Is the following listed correctly in scientific notation? Full points require an explanation.

6.1 x 10^2/3

No, exponent must be a whole number

400

Rewrite the following number in Scientific Notation:

5131000000000

5.131 x 10¹²

500

What is the answer to the following? Answer must be in Scientific Notation:

3 x 10⁴ + 2.5 x 10³

3.25 x 10⁴

Ch4-Linear Equations

100

Solve the following using Inverse Operations:

2x + 5 = 17

x = 6

200

What is the first inverse operation we should use when solving for x? 50 pts for correct answer for x

x/5 -3 = -1

First step: add 3, x=10

300

How many solutions does the following equation have? 50pts for answering value(s) for x correctly.

4(x+11)=80

one solution, x=9

400

How many solutions does the following have?

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

No solutions, Inconsistent

500

How many solutions does the following equation have?

10x+3 = 10x+3

Infinite solutions, Identity

Ch5-Lines/Linear Equations

100

What is the formula for slope-intercept form? 25 pts for identifying which letters represent slope and y-intercept

y=mx+b, m=slope, b=y-intercept

200

When looking at a graph, how can we identify the y-intercept, how can we identify the slope?

y-intercept: where the line crosses through the y-axis, 

slope: rise/run, (y₂-y₁)/(x₂-x₁)

300

What is the equation for a line that has m=7, b=-4

y=7x-4

400

What is the equation of a line that is parallel with y=-3x+11, and goes through the points (0,4)

y=-3x+4

500

What slope does a linear equation have when the line is perfectly vertical? 

Undefined

Random from Entire Year

100

Go to the board, or coordinate graph, show me where the coordinates (8,13) lie, 25 pts for naming which quadrant it is in

x=8, y=13, Q1

200

What is the value of the hypotenuse with a leg of  15 and a leg of 8?

c=17

300

If point A on a graph is listed at (2,3), and point A' is translated left 6 units, what is the ordered pair for point A'?

A' (-4,3)

400

In the following function, what is the output if the input is 4?

f(x) = 2x+2

f(4)=10

500

Double Points! Solve the system of equations: 

4x+3y = 10

-4x +5y = 6

x=1

y=2