Pretest Algebra C

Identify all the points that are solutions of the system of equations. Select ALL that apply.

• (−4,1)

• (−2,−3)

• (0,1)

• (1,6)

• (3,2)

Which function is even?

• −2𝑥³ + 7𝑥

• −𝑥² − 5

• 3𝑥² + 4𝑥

• 6𝑥³ − 5𝑥²

Complete the sentence to make a statement that best describes the graph of 𝑓(𝑥 − 4). It is the graph of 𝑓(𝑥) shifted:

• up 4 units

• down 4 units

• left 4 units

• right 4 units

Caitlyn is solving 𝑦 = −3𝑥² + 12𝑥 − 19 by completing the square. What should 𝑎 be in 𝑦 = −3(𝑥 − 2)² − 19 + 𝑎 so that the equations are equivalent?

• −12

• −4

• 4

• 12

The figure shows the graph of a polynomial function 𝑓(𝑥). Which of the following could represent 𝑓(𝑥)?

• 𝑓(𝑥)=𝑥³−2𝑥²−3𝑥

• 𝑓(𝑥)=𝑥⁴−2𝑥²−3

• 𝑓(𝑥)=𝑥⁴−2𝑥²+𝑥

• 𝑓(𝑥)=𝑥⁴−2𝑥³−3

Identify the zeros for the graph of 𝑓(𝑥)=(𝑥−4)(𝑥2+6𝑥+9). Select ALL that apply.

• (−6,0)

• (−4,0)

• (−3,0)

• (3,0)

• (6,0)

What is the remainder for (𝑥⁴+2𝑥³−5𝑥²+1)÷(𝑥+1)?

• −1

• 1

• 5

• −5

• 0

• 1

• 2

If (𝑥+√7)(𝑥−√7)=7, what is the value of 𝑥?

• 0

• ±7

• 7±√7

• ±√14

• 7

• −4

• −7

• 4