A1 Test 2 Review

Distribution

100

-2(x+3y-z)

-2x-6y+2z

200

-3x(x²+5x-2)

-3x³-15x²+6x

300

5x³y(y²-3xy)

5x³y³-15x⁴y²

400

-2(x²+3x)+5x(x-2)

3x²-16x

500

3x(x²y-1)-2x(5x²y+1)

-7x³y-5x

Equations

100

1/2x-5=7

24

200

3(x-4) = -12 +2x

x=0

300

x / (2 1/4) =7

x=63/4

400

3(-x-5)=3x+5(x+2)

x= -25/11

500

4(6x+1)-3(4x+3)=19

x=2

Exponents

100

-5^-2

-1/25

200

1/(-3)^-2

9

300

(a^2a^8rt^-3)/(t^-2t^4r^-3)

(a^10r^4)/t^5

400

x^-6y^3x^2y^-3

1/x^4

500

x^-3y^-8y^5x^4zx^2z^-3

x^3/(y^3z^2)

Factoring

100

Prime factors of: 180

2^2 *3^3 *5

200

Prime factorization of 420

2^2*3*5*7

300

GCF: 12x^2y^3-18xy^4

6xy³

400

Factor GCF of 12x³y²-4x²y²+8x⁴y³

4x^2y^2(3x-1+2x^2y)

500

Factor GCF:  5w³x⁵y²-15w²x⁴y³+20w⁴x³y⁴

5w^2x^3y^2(wx^2-3xy+4w^2y^2)

Algebraic Phrases /Word Problems

100

The sum of 3 times the opposite of a number and -7

-3n-7

200

The product of 4 and the sum of 5 times a number and 3

4(5n+3)

300

2/3 of what number is 14? 

21

400

Find the number such that 20 less than twice the number is 50. 

35

500

Helen found that if the product of 8 and a number is increased by 12, the result is 3 mor than the product of 5 and the number.  What is the number?

-3

Other

100

7-6- (-3) -9

-5

200

2x^3x^-1yy^2z^-4-7x^5y^3z^-4-x^5y^4z^-4y^-1

(10b+15a+4ab)/(5ab)

300

if g(x)=-3x²-2 , find g(-5)

-77

400

Simplify: 2x⁶y+5x-7x⁶y-x

-5x⁶y+4x

500

Simplify: 2x³x^-1yy²z^-4-7x⁵y³z^-4-x⁵y⁴z^-4y^-1

(2x^2y^3)/z^4 -(8x^5y^3)/z^4