Final Exam Review Chapter 5/6

Final Exam Review Chapter 5

And a little of 6

This review will be graded on completion, on-time submission, and correctness.

Use notes from Chapters 5 and 6 to help you.

Properties of Exponents Review

We did these in both

Chapters 5 and 6

Multiple Choice

Looking at the problem shown, which parts of the expression equal 1?

• The numerator.

• The denominator.

• The bases being raised to the zero power.

• The bases being raised to a negative exponent.

Multiple Choice

What is the first property you use when simplifying this problem?

• Product of Powers (add the exponents)

• Power of product (multiply exponents)

• Quotient of Powers (subtract exponents)

• Negative Exponent (flip it)

Multiple Choice

Simplify using the properties of exponents.

Poll

Here are my steps to the last one (click on picture to make it larger).

• I was able to get this problem correct on my own.

• I did not get this problem correct but understand it now.

• I got this correct using an app.

• I still do not understand this problem.

Multiple Choice

What is the first step to simplifying this problem?

• Add the exponents on the inside of the parentheses.

• Add the exponents for the same bases on the outside of the parentheses.

• Multiply the exponent 3/2 to the exponents on the inside of the parentheses.

Multiple Choice

What do you do after you distribute the exponents in the denominator? What is the second step??

• You add the exponents for the variables with the same base.

• You multiply the exponents for the variables with the same base.

• You subtract the exponents for the variables with the same base.

• You cancel out the common factors.

Multiple Choice

When you fully simplify this problem, what is the exponent for base "a?"

• $\frac{11}{6}$

• $-\frac{13}{6}$

• $\frac{13}{6}$

• $-\frac{11}{6}$

Adding & Subtracting Expressions

• Methods: Horizontal and Vertical

• Combine like terms

• For subtraction problems, distribute the minus sign first.

Multiple Choice

Simplify the expression.

Multiple Choice

Simplify this expression.

(click it to see it larger)

• $11n^4-6n^3+9n$

• $11n^4-6n^3+4n$

• $11n^4-6n^3+6n$

• $13n^4-6n^3+4n$

Multiplying Binomials

• Methods taught in class: Distribution, Box, and FOIL

Multiple Choice

Multiply:
(3x – 1)(x + 5) 

• 3x² + 4x + 5
• 3x² + 4x - 5
• 3x² + 14x + 5
• 3x² + 14x - 5

Multiple Choice

Find the product: (x +2)(x + 3)

• x² + 5x + 6

• x² + x + 6

• x² + 5x + 5

• x² + 6x + 6

Polynomial Division

• Long Division (Does McDonald's Sell Cheeseburgers?)

• Synthetic Division

Did you forget how to divide polynomials?

You're in luck, I put a video for synthetic division on the next slide, which you can use on the test. For a long division review, go to the "Chapter 5 Resources" on Google Classroom.

Multiple Choice

What term should you add to the dividend in this problem?

(2x³ + 5x² + 9) ÷ (x + 3)

• 0x⁴

• 0x³

• 0x²

• 0x

Multiple Choice

Divide

Multiple Choice

For synthetic division, what would be the number in the left-hand box?

• 0

• 1

• 2

• 3

Multiple Choice

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0
• 2
• 4
• 6

Multiple Choice

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

• 3x³ - 5x² - 2x + 8
• 3x² + x - 6
• 3x² - 5x - 2 + 8/x+1
• 3x³ + x² - 6x