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Evaluating Algebraic Expressions

100

What is the value of the expression for the given variables?

7(a+4)+3b-8 for a=-4 and b=5

7

200

What is the value of the expression for the given variables? 

x/2 + y^2 for x=1 and y=1/2

3/4

300

What is the value of the expression for the given variables? 

2(x^2-y^2) over 3 for x=6 and y=-3

18

400

Simplify each expression

7x^2+3y^2+2y^2-4x^2

3x^2+5y^2

500

Simplify

-(8a+3b)+10(2a-5b)

12a-53b

Solving an Absolute Value Equation

100

Solve the equation

l2x-1l=5

x=3 and x=-2

200

Solve the equation

3lx+2l-1=8

x=1 and x=-5

300

solve the equation

l3x+2l=4

x=2/3 and x=-2

400

solve the equation

2lx+9l+3=7

x=-7 and x=-11

500

Solve the equation. check if any extraneous solutions are present

l5x-2l=7x+14

x=-1

Factoring ax^2+bx+c when lal does not = 1

100

Factor

2x^2+11x+12

(2x-3)(x+4)

200

Factor

4x^2+7x+3

(4x+3)(x+1)

300

Factor

2x^2-7x+6

(2x-3)(x-2)

400

Factor

4x^2-4x-3

(2x-3)(2x+1)

500

Factor

64x^2-16x+1

(8x-1)^2

Solving by finding square roots and perfect square trinomials

100

Solve each equation by using square roots:

4x^2+10=46

x=+ or - 3

200

Solve each equation by using square roots:

7x^2-10=25

x= + or - square root of 5

300

Solve the equation by using square roots:

2x^2+9=13

x= + or - square root of 2

400

Solve

x^2+4x+4=25

x=3 and x=-7

500

Solve:

x^2-14x+49=25

x=12 and x=2

Solving an Exponential Equation with a common base or different base

100

16^3x=8

x=1/4

200

27^3x=81

x=4/9

300

15^3x=285

x=0.696

400

5^2x=130

x=1.512

500

4^3x=6000

x=2.09