Algebra II Sem2 Review

Solve by factoring.

x² - 3x - 28 = 0

• x = -4

• x = -2, 8

• x = -4, 7

• x = 6, -7

Tags

CCSS.HSA-REI.B.4B

The quadratic equation x² - 10x = 2 is to be solved by completing the square. Which equation would be the first step in the solution?

• x² - 10x - 25 = 2 - 25

• x² - 10x + 25 = 2 + 25

• x² - 10x + 25 = 2

• x² - 10x + 25 = 2 - 25

Given the following quadratic function, find its vertex. The axis of symmetry can be found using x = -b/2a.

f ( x ) = x² - 6x + 3

• (6, 21)

• (3, 0)

• (-3, 30)

• (3, -6)

How many and what type of solutions does the graph have?

• 2 Real Solutions

• 1 Real Solution

• 1 Imaginary Solution

• 2 Imaginary Solutions

Jenny throws a softball upward in the air at a speed of 32 feet per second from a 40-foot platform. The height of the ball after t seconds is given by the function

d(t)= -16t² + 32t + 40.

What is the height of the ball after 2 seconds?

• 328 feet

• 168 feet

• 56 feet

• 40 feet

Solve the following.

x⁴ + 4x² - 45 = 0

• x = ±5, ± -9

• x = ±√5, ±3i

• x = ±√5, ±3

• x = ±5, ±3i

Divide.

( 8x² - 31x +13 ) ÷ (b - 3)

• A

• B

• C

• D

Find all rational zeros of

f(x) = 3x³ - x² - 3x + 1

• x = 1/3, 1

• x = 1, -1

• x = 1, -1, 1/3

• x = 1, 1/3, 2

Given the following solutions to a polynomial, x = 2, 4, -3 write the function.

• f(x) = x³ - 3x² - 10x + 24

• f(x) = x³ - 18x² + 12x + 24

• f(x) = x³ - 9x² + 12x - 24

• f(x) = x³ - 3x² + 26x + 24

Using limit notation, describe the end behavior of the function.

• A

• B

• C

• D