Algebra 2 10/11 J2

Modeling

300

A rideshare service costs $5 plus $1.5 per mile. Find the cost for traveling x miles

C=5+1.5x

400

Find the dollar value of q quarters and d dimes

0.25q + 0.10d

500

The length of a rectangle is 5 more ft than the width. The total area is 176 ft. Find the length and width.

11 ft x 16 ft

Factoring

300

x²-11x-60

(x-15)(x+4)

400

6x²-13x+12

(2x-3)(3x-4)

500

18x³+60x²+50x

2x(3x+5)²​​​​

Quadratics

300

Find the vertex, and classify as upward or downward:

y=-3(x+5)²-6

Vertex: (-5,-6)

Classification: Downward

400

Complete the square:

x²+8x-4

(x+4)²-20

500

Find the x-intercepts and vertex. Give the full coordinates.

y=(x-8)(x+2)

x-int: (8,0) and (-2,0)

Vertex: (3,-25)

Imaginary #

300

Multiply

(-5+2i)(4+i)

-22+3i

400

Simplify

(17-28i)/(6+i)

2-5i

500

Compute

i⁶²(-i)⁴⁷

-i

Exponents

300

(x⁶y³)²(xy³)³

x¹⁵y¹⁵

400

x^-2y⁵

        

x^-4y⁸

x²

     

y³

500

cube root of (-125x¹²y¹⁵)

-5x⁴y⁵