9th Grade Algebra

Solving Equations

100

Solve for m: -2m-6=8m-2(5m+3)

Infinitely Many Solutions

200

Solve for x: 2(8x-3)+12=6

x=0

300

Solve for x : -4x+5=5x-(4x-10)

x=-1

400

Solve for x:

               -19x+20=55-12x-7x

No Solution

500

Solve for x : 

             (x+1)/4=1/6+(2-x)/3

x=1

Solving Inequalities

100

Solve this inequality for x: -2(x+3)>12

x<-9

200

Solve this inequality for b: -8y+6y+5>35

b<-15

300

Solve this inequality for y:

                -y/3-6>3

y<-27

400

Solve this inequality for y: -2y/5<-8

y>20

500

Solve: -(x-3)/2<-7

x>17

Polynomials and Laws of Exponents

100

What is the degree of this polynomial? 4x⁵+2x-1

5th

200

What is the degree of this monomial?

                     9m³n⁴p⁹

16th

300

(5x^-2)(4x^-3)

20/x⁵

400

Multiply the monomials: 

            (-6x³)(-4x²y)(x²y⁵)

24x⁷y⁶

500

Subtract these polynomials: (-3x²+15x-12)-(-3x²-2x+7)

17x-19

Rational/Irrational Numbers

100

Is this number rational or irrational? Why?

                           -2

rational, can be written as a ratio: -2/1

200

Is this number rational or irrational? Why?                                           2.71071007100071...

irrational;

non-repeating, non-terminating decimal

300

Is this number rational or irrational? Why?

                     Square root of 25

Rational: can be represented as a ratio

or 

a square root of a perfect square

400

Is 0 a counting or a whole number ?

                        

Whole number

500

Is Pi rational or irrational?

irrational; a square root of a non-perfect square,

or non-repeating, non-terminating decimal

Multiplying Binomials

100

Expand:  (3x+4)(4x+5)

12x²+31x+20

200

Expand:  (8x-3)(7x-5)

56x²-61x+15

300

Expand:  (4x²+5)(x²-2)

4x⁴-3x²-10

400

Expand:  (2x³+3)(3x³+4)

6x⁶+17x³+12

500

Expand:  (5x-2)(3x²+3x+1)

15x³+9x²-1x-2