Study Guide Semester 1

Semester 1 Review

Part 1

OBJECTIVE:

SWBAT recall key concepts from earlier in the year and semester IOT be prepared for the upcoming assessment.

Open Ended

What are some "key concepts" that you've learned in Algebra 1 this semester?

Review Part 1 will include....

• Polynomial Arithmetic

• Solving Equations

• Rearranging Formulas

Fill in the Blanks

____ _____ are terms whose variables and their exponents are the same.

Polynomial Arithmetic

Adding and subtracting polynomials is an exercise in combining like terms.

Adding Polynomials

Example 1

Subtracting Polynomials

Example 2

Subtracting Polynomials

Example 3

Multiple Choice

Add the polynomial (-3x + 4) + (8x - 5)

• 5x - 9

• 5x - 1

• 11x - 1

• 11x - 9

• None of these

Multiple Choice

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7

• 5a³ - 4a² - 14a - 7

• 5a³ - 4a² - 20a - 7

• 5a³ - 9a² - 20a - 7

Multiple Choice

Add or Subtract to Simplify:

(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

Solving Equations

Using the associative, commutative, and distributive properties along with inverse operations to identify values that make an equation true.

Open Ended

What are "inverse" operations? [In your own words OR example(s).]

Solving Equations

Example 4

Multiple Choice

What is the first step to solve this equation:

- 3x -11 = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

Rearranging Formulas

Defining a relationship between two or more quantities, where one is in terms of another

Rearranging Formulas

Example 5

Multiple Choice

Solve the formula for p.
 $I\ =\ prt$  

•  $p\ =\ I\ -\ rt$  

•  $p\ =\ \frac{I}{rt}$  

•  $p\ =\ Irt$  

•  $p\ =\ \frac{rt}{I}$  

Multiple Choice

• 1

• 2

• 3

• 4