Quarter Assessment Warm Up

Multiple Choice

Which of the following is an exponential function?

• y = x²

• f(x) = 3x³

• y = x³

• f(x) = 3^x

​Is it Linear or Exponential?

​When given a table, look for a common difference or a common ratio.

​- If the pattern is add/subtract, the function is linear.

​- If the pattern is multiply/divide, the function is exponential.

​Examples:

Since the pattern is adding, the function is linear.

Since the pattern is multiplying, the function is exponential.

Multiple Choice

Is the function linear or exponential?

• linear

• exponential

Multiple Choice

Does the graph represent an exponential or a linear function?

• Exponential

• Linear

​Let's review some basic exponential properties!

Multiple Choice

SImplify:

$$2x^2\ \cdot\ 2x^{2\ }$$  

• $$2x^2$$  

• $$4x^4$$  

• $$2x^4$$  

• $$16x^4$$  

Multiple Choice

$$\frac{10x^2y^{-4}}{5x^{-3}y^{-1}}$$  

• $$\frac{2x^3y^5}{x}$$  

• $$\frac{2x^5}{y^3}$$  

• $$\frac{2y^3}{x^5}$$  

Explanation Slide...

​

Multiple Choice

Write $$\left(5b\right)^{\frac{3}{4}}$$   in radical form:

• $$\left(\sqrt[4]{5b}\right)^3$$  

• $$\left(\sqrt[]{b}\right)^3$$  

• $$\left(\sqrt[3]{b}\right)^2$$  

• $$\left(\sqrt[4]{3b}\right)^5$$  

​Like Terms: terms that have the SAME variable(s)

​Vocabulary

​Combine Like Terms: take multiple like terms and make them one (SIMPLIFY)

​​Example: 4x² and 7x² are like terms

Example: 4x² and 7x are NOT like terms

Multiple Choice

Find the sum. 
(3 - 2x + 2x²) + (4x - 5 + 3x²)

• 7x - 7x + 5x²

• 5x² + 2x - 2

• 5x²

• 5x² + 6x + 8

Multiple Choice

Subtract these polynomials:

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3

• -7n² - 8n + 3

• -6n² - 8n + 3

• -7n² - 4n + 3

Multiple Choice

Find the product:
(y - 3)(y + 7)

• y² - 21

• y² + 10x - 21

• y² + 4y - 21

• 2y - 10

Equation of the axis of symmetry

Multiple Choice

What's the axis of symmetry of y = 3x² - 6x + 4

• x=1

• x=-6

• x=2

• x=-1

Multiple Choice

• a. (-6, 1)

• b. (6, 1)

• c. (-6, -1)

• d. (6, -1)

Multiple Choice

If f(x) = 2x² + 5x - 3, evaluate f(-1).

• f(-1) = -6

• f(-1) = 1

• f(-1) = -10

• f(-1) = -1