Algebra 1

polynomials

100

simplify 1+5x+x-6

-5+6x

200

Factor:

10x²-50x+15

5(2x²-10x+3)

300

 factor 12x³-30x²+24x

6x(2x²-5x+4)

400

simplify (x²-3x+6)(1/3x²+5x-7)

1/3x⁴+4x³-20x²+51x-42

500

Factor: x²+4xy+4y²

(x+2y)(x-2y)

square root

100

solve y²=32

4√2

200

solve x²+4=28

2√6

300

-5x²+3=-297

2√15

400

solve 2m²+10=210

10

500

slove 3-4x²=-77

2√5

absolute value

100

2 |8x-4 |+4=0

no solution 

200

solve |12n+3|=7

1/3 , 5/6

300

|4x+2|+|2x-5|=11

(-4/3,2)

400

|2x+6|-3+|-3-4|=9

(-2,2)

500

6(2x+3)-7=2|2x+3|+1

-1/2

quadratics

100

what are the solutions to the equation 2x²+3x-30=0?

x= -3∓√35/4

200

find the vetex of h(x)=-16x²+64x+8

(2,72)

300

what is the y intercept of h(t)=-0.1t+2.4t+1.5

t=0

400

Find the maximum value. f(x)=625-16x²

Maximum value is 625

500

g(x)=ax²

f(x)=x²

what could be the value of a?

-3, -4.6, -0.2, 3

-3

liner equations

100

Given the points (10,20) and (6,8) wrte an equation in slope intercept form. 

y=3x-10

200

write the slope of any parallel line that passes through the points (10,8) and (4,2)

slope=1

300

write the slope of any perpendicular line that passes through the points (2,4) and (8,10)

slope=-1

400

Write a linear function that passes through the points (7, 8) and is perpendicular to y = 5x + 3

y=-1/5x+47/5

500

what is the slope of 3x+2y=6

slope=-3/2