College Algebra Exam 1

unit 1+2

100

6÷2(2+2) 

12

200

(1/3)^-2

9

300

x²-3x+5x-3+6x²

7x²+2x-3 

or 

.527 / -/813 (quadractic formula) 

400

(2x-3)(5-3x) 

-6x²+19x-15

500

Factor: 

6x²+11x-30

(3x+10)(2x-3) 

or 

x= -10/3 and x=3/2

unit 3

100

solve for x 

3x+1=-1/2(6-4x) 

x=-4

200

find a number such that 15 times the number is 90 

90/15 = 6 

300

3(x+2)+x= 4(x-1)+9 

N/A

400

solve and graph 

2x+6 ≤ 5x-3

x≥3  

500

4x+3 ≥ 27 AND 2x-6 > -4 

[6,∝) 

unit 4+5

100

find slope

(-2,2) and (1,1) 

-1/3 

200

Slope of a horizontal line? 

Zero 

300

Write equ. of a line with a line that has a slope -1 and passes through point (2,3) 

y=-1x+5

400

find like that is perpendicular to line 3x-4y=8 and passes through point (1,2) 

y= -4/3x + 10/3

500

Posted question on the slides 

domain: (-2,4) 

range: (-2, 1) 

unit 6

100

Find roots of this function 

f(x)= 12x²+12x-9  

x=1/2

x=-3/2

200

Find the vertex and write in from (h,k) 

f(x)= x²-6x+8 

Hint: h= -b/2a 

(3,-1) 

300

A baseball is thrown in the air. Its hight is givin by the function: f(t)= -4t²+8t+32

what time does the ball reach its peak? What hight does it peak at? 

(1,36) 

one second, 36 feet 

400

factor using quadractic formula 

f(x)= 3x²-5x+7

n/a (negative in radical) 

500

factor using quadratic formula 

12x²-9x-4

(9+√273)/24 and (9-√273)/24