Free Printable NCM3: EOC Review with the Desmos App

Worksheets

NCM3: EOC Review with the Desmos App

Total questions: 14

Worksheet time: 7mins

Name

Class

Date

Given the function

f(x) = (x−2)(x+3)(2x+3)

which set includes all the zeros for the polynomial?

{−2, 2/3, 3}

{−2, 3/2, 3}

{−3, −2/3, 2}

{−3, −3/2, 2}

Given that p(−3) = 0, p(−1) = 0, and p(5) = 0, which expression could be p(x)?

x³−x²−17x−15

x³+x²−17x+15

x³−3x²−13x+15

x³−9x²+23x−15

Which graph correctly represents the zeros and end behavior of the function?

f(x) = −x³+4x²+x−4

What is this expression in the lowest terms?

Which fraction is equivalent to the expression in lowest terms?

Which expression is equivalent to (x+4)⁴−(x−1)⁴?

3(2x+5)(2x²+10x+17)

5(2x+5)(2x²+10x+17)

3(2x+3)(2x²+6x+17)

5(2x+3)(2x²+6x+17)

All of the following functions are defined over the domain −10 ≤ x ≤ 20. Over that domain, which function includes the point with the least y−value?

y = −19|2x+3|+7

y = −2|19x+3|+7

y = 5|2x−19|+7

y = 5|2x+3|−19

Which polynomial has exactly two positive x−intercepts?

y = x³−7x+6

y = x³−7x−6

y = x³+4x²+x−6

y = x³−6x²+11x−6

A ferris wheel at the local fair has a diameter of 30 feet and a midline of 18 feet. This ferris wheel makes one revolution every 60 seconds. If Amanda and Steve are riding on the ferris wheel, which equation could be used to model d, the distance Amanda and Steve are from the ground as they ride the ferris wheel as a function of time, t?

10.

What are the y−coordinates of the solutions of the system of equations 5x−y=3 and 2x²+y=0?

−18 and −1/2

−9/2 and −2

−3 and 1/2

−3/2 and −1

11.

Stella, Roberto, and Candace are putting together small model kits. Stella can put a kit together in 45 minutes, while it takes Roberto 36 minutes. When all three of them work together, they can complete a kit in 12 minutes. Which equation can be used to calculate that it will take Candace 30 minutes to put a kit together if she works alone?