Algebra: Quizizz Review Assessment 2

When the expression 16x⁴ - 81 is completely factored it is equivalent to

• (4x² - 9)(4x² + 9)

• (4x² + 9)(4x² + 9)

• (2x² + 9)(2x² - 9)(2x² + 9)(2x² - 9)

• (4x² + 9)(2x - 3)(2x + 3)

Compared to the graph of f(x)=x², the graph of g(x)=(x + 2)² - 3 is the result of translating f(x)

• 2 units up and 3 units left

• 2 units left and 3 units down

• 2 units down and 3 units up

• 2 units left and 3 units right

If a = 3x³ + x² - 5 and b = x² - 12, which polynomial is equivalent to 2(a + b)?

• 6x³ + 4x² - 34

• 6x³ + 3x² - 17

• 6x³ + 3x² - 22

• 6x³ + 2x² – 17

Which statement is true?

For f(x), 1 box = 1 unit.

• The y-intercept for g(x) is greater than the y-intercept for both f(x) and h(x).

• The y-intercept for f(x) is greater than the y-intercept for both g(x) and h(x).

• The y-intercept for h(x) is greater than the y-intercept for both g(x) and h(x).

• The y-intercept for h(x) is greater than the y-intercept for f(x).

Which point is in the solution set of the equation 3y + 2 = x² - 5x + 17?

• (-2,10)

• (-1,5)

• (2,3)

• (5,9)

Which of the three situations given below is best modeled by an exponential function?

I. A bacteria culture triples in size every day.

II. A plant grows by 5 inches every 2 weeks.

III. The population of a town declines by 3% every 5 years.

• I, only

• I and II

• II, only

• I and III

The length, width, and height of a rectangular shoebox are represented by 4x, 5x + 9, and x - 3, respectively. When the volume is expressed as a polynomial in standard form, what is the coefficient of the second term?

• -24

• -108

• -96

• 20

When solving the equation 4(3x² + 2) – 9 = 8x² + 7, Emily wrote

4(3x² + 2) = 8x² + 16 as her first step. Which property justifies Emily’s first step?

• commutative property of equality

• addition property of equality

• multiplication property of equality

• distributive property of multiplication over addition

A polynomial function contains the factors x, x – 2, and x + 5. Which graph(s) could represent the graph of this function?

• I, only

• I and III

• II, only

• I, II, and III

Miriam and Jessica are growing bacteria in a laboratory. Miriam uses the growth function f(t) = n^2t while Jessica uses the function g(t) = n^4t, where n represents the initial number of bacteria and t is the time, in hours. If Miriam starts with 16 bacteria, how many bacteria should Jessica start with to achieve the same growth over time?

• 4

• 8

• 16

• 32