Jayla's Midterm Review

Systems of Equations

100

Solve each system by substitution 

y=-2

4x-3y=18

(3,-2)

200

Solve each system by elimination

-6x+5y=1

6x+4y=-10

(-1,-1)

300

Solve each system by substitution

y=-3x+5

5x+3y=7

(2,-1)

400

Solve each system by substitution 

6x-7y=9

x-3y=-4

(5,3)

500

Solve each system by elimination

5x+y=9

10x-7y=-18

(1,4)

Linear Equations

100

x - 3y = -3

y=1/3x + 3

200

3x - 4y = 8

y=3/4x - 2

300

write the slope- intercept form of the equation

through: (-3,-3) , parallel to y=8/3x - 4

y= 8/3x + 5

400

Standard Form : Ax+By=C

2y= -5x + 7

5x + 2y = 7

500

slope-intercept 

through: (2,-3), perp. to y= 2x + 1 

y= -1/2x - 2

Quadratics and Parent Functions

100

What is the absolute value function?

f(x) = |x|

200

What is the transformation rules for -f(x)

reflects the function in the x axis (that is upside- down)

300

What is the standard form of a quadratic 

ax² + bx + c 

400

What is the transformation rules for f(x-b)

Shift the function b units to the right 

500

Identify the vertex : f(x)= x² - 4x + 2

(2, -2)

Factoring

100

Find the product (FOIL)

(6k + 7)(k + 3) 

6k² + 25k + 21

200

Factor by GCF

20x⁶ - 20x⁴ - 5x³ - 15x²

5x²(4x⁴ - 4x² - x - 3)

300

Factor out completely 

4x² - 15x + 14

(x - 2) (4x - 7)

400

Factor by grouping

12mn - 9m - 20n + 15

(4n - 3) (3m - 5)

500

Factor using Trinomial Factoring

4x² + 36x + 80

4(x + 5) (4 + x)