Maria and Katia's midterm review

systems of equations

100

solve this equation using the substitution method. 

y=2x+4

y=4

200

solve this problem using the elimination method. 

-7x-8y=9

-4x+9y=-22

x=1

300

solve this problem using the substitution method.

2x-3y=-1

y=x-1

y=3     x=4

400

solve this equation using the substitution method. 

y=6x-11

-2x-3y=-7

x=2   y=1

500

solve this problem using the elimination method. 

7x+2y=24

8x+2y=30

x=6      y=-9

linear equations

100

solve the next problem using the parallel equation.

y=3x+6  (4,7)

y= 3x-5

200

solve the next problem using the perpendicular equation.

y=-4x-2  (4,-4)

y=1/4x-5

300

solve the next problem using the parallel equation.

y=x-4  (-2,3)

y=x+1

400

solve the next problem using the perpendicular equation.

y=-5x+1  (2,-1)

y=-5x+9

500

solve the next problem using the perpendicular equation.

y=2x-3  (-5,3)

y=2x+7

parent functions and quadratics

100

what is the parent function of a quadratic equation?

f(x)=x²

200

what is the parent function of a square root equation? 

f(x)=√x

300

what is the parent function of an absolute value equation?

f(x)=|x|

400

what is the parent function of a linear equation?

f(x)=x

500

what happens when in the standard form of a quadratic equation is positive? 

the parabola opens up. 

factoring

100

factor the next equation using the grouping method.

5x³-10x²+3x-6

(x-2) (5x²+3)

200

factor the next equation using the foiling method.

(8x+3) (6x+3) 

48x²+42x+9

300

factor the next equation using the GCF method.

9x⁶y²z+12x⁶y³

3x⁶y² (3z+4y)

400

factor the next equation using the trinomial method.

x²+7x=10

(x+5) (x+2)

500

factor the next equation using the trinomial method.

4x²+36x+80

(x+5) 4 (x+4)