Algebra - Ch. 3 Equations

Absolute Value

100

True or False:

Absolute value is how far away from zero a number is on a number line.

True

200

Solve.
|2x - 3|=2

x = 5/2  and x = 1/2

300

Solve.
|4 - x|=7

x = -3 and x = 11

400

Solve.
|3x+1|=-2

It's not possible or No Solution

500

Solve.

1/2|x+3|=1

x = -1 and x = -5

Solve for a Specific Variable

100

Solve for a.

c = ab

a=c/b

200

Solve for a.

2a + b = c

a=(c-b)/2

300

Solve for m.
4n = 3m - 1

m=(4n+1)/3

400

Solve for x.

y = 1/4x+1

x = 4y - 4

500

Solve for r.

4(r - 3s) = r - 5s 

(7s)/3

Area as a Sum

100

Write area as a sum.
4x(-2x - 7)

-8x^2-28x

200

Write area as a sum.

(x+1)(x+3)

x²+4x+3

300

Write the area as a sum.

(2x - 5)(x + 4)

2x² + 3x - 20

400

Solve for x.

(x + 2)(x +3) = x² + 5x + 6

Infinite Solutions

500

Solve for x.

(x - 3)(x + 5) = x² - 7x - 15

x = 0

Dividing by a monomial

100

Divide.

(-16x^9)/(4x^3)

-4x⁶

200

(8x^2+16x)/(-4x)

-2x - 4

300

(4n^2+16n^3-48n)/(4n)

n  + 4n² - 12

400

(45x^5+45x^4+36x^3)/(-9x^3)

-5x² - 5x - 4

500

(3x^2y+6xy-9x^2y^2)/(3xy)

x - 3xy + 2

Exponents

100

Simplify.

(3a)⁴

81a⁴ or 3⁴a⁴

200

Simplify.

(y^4)^2/(y^3)^2

y²

300

Simplify.

(3a²x³)²(2ax⁴)³

72a⁷x¹⁸

400

Simplify.

((6x^8y^2)/(12x^3y^7))^2

(x^10)/(4y^10)

500

Simplify.

((2x^5y^3)^3(4xy^4)^2)/(8x^7y^12)

16x¹⁰y⁵