ALG 1

Radicals/Polynomials

100

Simplify the expression. 

(10a³ − 6a² + 11) + (a³ − 6a²) + 2

 11a³ + 0a² + 9

 9a³ + 13

 11a³ + 36a² + 9

 11a³− 12a² + 13

D

200

Which is the value of the expression −2√12(−5√96) that has an exact quantity using a single radical?

A   1920√2

B  240√2

C  180√2

D  −42√12

B

300

Simplify the expression 5√72 + 3√18.

A  39√2

B  20√2

C  17√2

D   5√2

A

400

Find the difference. (2g² + 3g − 8) − (5g + 1)

A  2g² − 2g − 9

B  2g² + 2g − 7

C  −3g² + 3g − 9

D  2g² + 8g − 7

A

500

Which polynomial is equivalent to the following expression? 5y(y⁴ + 6y² − 11)

A   5y⁵ + 30y³ − 11

B   5y⁴ + 30y² − 55y

C   5y⁵ + 30y³ − 55y

D  y⁴ + 6y² + 5y − 11

C

Quadratic Functions

100

What are the exact solutions to the equation 

x² - 15 = -56

x=7 and x=8

200

Write a quadratic function, in standard form, given the vertex at (2, −3) and that passes through the parabola at the point (0,1).

y= x² -4x+1

300

Which quadratic function represents a parabola with roots of 6 and −4, and passes through the point (2, 4)?

y=-1/6(x-6)(x+4)

400

Mr. Cornell’s physics class made a catapult to shoot watermelons. A watermelon starting launched was feet above the ground and reached a maximum height of 60.5 feet after 3.5 seconds.

Which of the following equations can represent the height of the watermelon in feet, for x seconds?

A.   0=-2(x+3.5)²+60.5

B.   0=-2(x-3.5)² +60.5

C.   0=0.5(x-60.5)²+36

D.   0=-0.5(x-60.5)²+36

B

500

A height for a popular amusement park ride in Ohio is defined by the expression −16s² + 64s − 60, where s is the time in seconds. Which of the following is an equivalent expression that reveals when the height of the ride is zero?

A   −16(s − 2)²

B    (2s − 5)(2s − 3)

C   −4(s − 5)(s − 10)

D  −4(2s − 5)(2s − 3)

D