Algebra Review Study

Easy

100

9a= 108

What's a= ?

a= 12

200

v - 3= 9

What's v?

v= 12

300

6x + 10x = ?

Answer = 16x

400

10 + 8x = 56

What's x ?

x = 6

500

8c = 392

c = 49

Mid-Easy

100

-3 + 5x = 15

What's x ?

x = 18 / 5

200

Distribute: 

(x+5) (x-3)

x² + 2x - 15

300

Solve:

4x - 5 <  11                                                

x < 4

400

Solve.

3⁰

Answer: 1

500

20 + 8x = 52

x = 4

Medium

100

-8 (-2y- 4) = 16y + 2

No Solution 

200

Mary has $550 and saves $10 each week. Let v be the number of weeks from now on. Solve the inequality in terms of v that represents the amount of weeks until mary has at least $1,500.

v ≥ 98 

300

Solve the equation:

(x - 4) (x - 6)

x² - 10x + 24

400

Alex is collecting money to purchase a new bicycle he starts with $25. He earns $10 each week walking the neighbors dog. After how many weeks will Alex have enough money to buy a bicycle that costs $125 ?

x = 10

500

Solve: 

(5x + 1)²

Answer 

25x² + 10x + 1

Medium Hard

100

f(x) = x² + 4x - 2

Opens where?: 

y intercept?:

AOS? (AOS formula) x = -b/ 2(a):

Opens: up

y intercept: (0,-2)

AOS: x = -2

200

Stacy has a phone bill to pay but the cell phone company she uses charges a monthly fee of $10.00 and $0.30 a minute per call. The fee for e minutes is $30.10

Write an equation that models this situation and then solve it.

e = 67

300

Write this linear equation into standard form and slope intercept form.

(1, 4)  (5, 6)

point slope: y = 1x + 5

standard form: -1x + y = 5 or x - y = -5

400

Solve

√96 + √36 + 2

8 √6 +8

500

Solve the proportion for the missing value.

    40              10                                                       _______= ________ 

    8b + 4        b - 2

b = -3

Hard

100

Solve the polynomial.

72x²y + 18x + 8

__________________

         9x

8xy + 2 + 9x

200

Solve the system of equations

(2x + y = 6)

(3x + 6y = 18)

x = -2

y= 4

300

Another invests $500 into an account earning 8% interest, and Avery invests $450 into an account 3% interest. After 5 years who will have more money in their account? 

Anthony = 700

Avery = 504 

Anthony will have more

400

The height of a plane being, x, seconds after launch is described by the function f(x) = -24x² + 144x + 35

What is the height of the plane after 3 seconds?

And find the (x,y)

f(3) = 251

x = 3,  y = 251           

 (3,251)

500

The mean distance of the earth from the sun is 86 million miles. the distance contrasts by 1.2 million miles. What are the maximum and minimum distances of the earth from the sun?

What are the answers to the absolute value equation?

x = 94.8

x = 97.2