4/3 Misc Review-Calculator, Factoring, Association/Causation

Misc Review

Students will review using the calculator to answer questions and factoring, along with causation and association.

Quadratic functions in vertex form

Multiple Choice

Quadratic function f has vertex (4,-4) and passes through the point (8,-16). Which each represents f?

• $$f\left(x\right)=\frac{3}{4}\left(x-4\right)^2-4$$

• $$f\left(x\right)=-\frac{3}{4}\left(x-4\right)^2-4$$

• $$f\left(x\right)=-\frac{3}{4}\left(x-4\right)^2+4$$

• $$f\left(x\right)=\frac{3}{4}\left(x-4\right)^2+4$$

Multiple Choice

Quadratic function f has vertex (-3, 6) and passes through the point (1, 54). Which each represents f?

• $$f\left(x\right)=3\left(x+3\right)^2+6$$

• $$f\left(x\right)=-3\left(x+3\right)^2+6$$

• $$f\left(x\right)=3\left(x+3\right)^2-6$$

• $$f\left(x\right)=3\left(x-3\right)^2+6$$

Multiple Choice

Quadratic function f has vertex (2, 8) and passes through the point (10, 40). Which each represents f?

• $$f\left(x\right)=-\frac{1}{2}\left(x+2\right)^2+8$$

• $$f\left(x\right)=\frac{1}{2}\left(x+2\right)^2-8$$

• $$f\left(x\right)=\frac{1}{2}\left(x-2\right)^2+8$$

• $$f\left(x\right)=2\left(x-2\right)^2+8$$

Factoring Using the X-Method

Steps:

1. Multiply ac and place in the top of the X

2. Write b in the bottom of the X.

3. Find the factors of ac and then determine which pair gives you b.

4. When you write your final answer you write from the bottom up.

​Try one:

Factor: 3x² - 13x - 10

​Try another one:

Factor: 2x² + 17x + 8

Multiple Select

What are the factors of $$3x^2+5x-2$$ ?

Select TWO correct answers.

• x + 2

• x - 2

• 3x - 1

• 3x + 1

• 3x + 5

Multiple Select

What are the factors of $$2x^2-5x-12$$ ?

Select TWO correct answers.

• x + 4

• x - 4

• 2x - 3

• 2x + 3

• 2x + 1

Drag and Drop

Factor the following problems.

$$2x^2+5x-12$$ = $$\left(2x-3\right)$$ ​

Placeholder

$$3x^2+16x+5$$ = $$\left(x+5\right)$$ ​

Placeholder

$$6x^2-11x+4$$ = $$\left(2x-1\right)$$ ​

Placeholder

$$x^2-2x-15$$ = $$\left(x+3\right)$$ ​

Placeholder

Drag these tiles and drop them in the correct blank above

What do you remember about them?

Causation vs Association

Multiple Choice

Sam's mom claims the number of hours spent playing video games bring down his grades so he should stop playing video games. Is this association or causation?

• Association

• Causation

Multiple Choice

A survey showed that sleeping with a night light was positively associated with nearsightedness. Is this association or causation?

• Association

• Causation

Multiple Choice

Which example shows CAUSATION? (Which one CAUSED the other to happen.)

• Rainfall and time spent reading.

• Eating more butter and increased divorce rates.

• It started raining and the baseball game was delayed.

Multiple Choice

Which example shows a ASSOCIATION? (The events show correlation, but one thing does NOT cause the other thing to happen.)

• It rained and the ground is wet.

• Ice cream sales increase as temperature increases.

Hotspot

Indicate whether each statement is an example of association, causation, both association and causation, or neither association nor causation.

Select the correct answer in each row.