7th grade math review

Adding polynomials

100

Add the following polynomial: (6x³-2x+8)+(3x³-8x-2)

9x³-10x+6

200

Add the following polynomial: (17a³-19a-3)+(16a²+23a-11)

17a³+16a²+4a-14

300

Add the following polynomial:(6x²+3x-2)-(3x²-4x+5)

3x²+7x-7

400

Add the following polynomial:(18b²+6b-7)-(-3b²+5b+8)

21b²+b-15

500

Add the following polynomial: (9y²+7)+(3y-5)-(-2y²+1)

11y²+3y+1

Solve for the variable

100

2(2h+2)-4h=-16

h=-10

200

4=0.4(3d-5)

d=5

300

-5d+9d-7=-5

d=1/2

400

0.5(2x-4)=-17

x=-15

500

-4d+2(3+d)=-14

d=10

FOIL

100

(2x²+1)(3x²+5)

6x⁴+13x²+5

200

(3xy+1)(2xy-3)

6x²y²-7xy-3

300

(z²-2)(2z²+3)

2z⁴-z²-6

400

(4x-3)(4x+3)

16x²-9

500

(x-1)² - (x+1)²

-4x

Dividing polynomials

100

12x⁶÷2x³=

6x³

200

(25x³-15x²+5x)÷5x=

5x²-3x+1

300

(32x⁴+16x³-24x²)÷8x

4x³+2x²-3x

400

(30x⁵-15x³)÷5x²

6x³-3x

500

(14x⁴+22x³-18x²)÷2x²

7x²+11x-9

Lines

100

Find the equation of the line that passes through the points (-1 , 0) and (-4 , 12).

y + 4 x = - 4

or y=-4x-4

200

What is the equation of the line through the points (-2 , 0) and (-2 , 4).

x=-2

300

 Find the equation of the line that passes through the points (7 , 5) and (-9 , 5).

y=5

400

Find the equation of the line through the point (3 , 4) and parallel to the x axis.

y=4

500

What is the equation of the line through the point (-3 , 2) and has x intercept at x = -1.

y=-x-1