a) 4x + 5 + 2x ____________

b) -6x + 4z + -3x − 10z ____________

c) 10y − -2y − 3z − 9z − 6y ____________

d) x

e) x

f) (4x)

g) (-5c)

a) -1 × 7 + 2 = 2 + -1 × 7

b) 9 * 1 = 9

c) 4 × ( 2 + 6) = 4 × 2 + 4 × 6

a) x − 2 = -7

b) x − -2 = -7

c) (2/3)x = 6

d) -2x + 5 = -11

e) ax + b = -e

a) 3x - 2 > -11

b) x ≠ 5

c) -1 ≤ x < 4

d) -5f < -10

Convert the following numbers into scientific notation:

a) 0.0000000000245 _______________

b) 890000000 ______________

a) 9z

b) z

a ) 4x

b) (4x

a) 15, 30

b) 15x

a) 12x

b) x

c) x

b) x = ___________ and ____________

c) x = ___________, _____________, and, _______________

12, 5, 2, 20, 7, 24, 10, 21

A bag contains 2 blue balls, 5 red balls, and 3 white balls.

You pick a ball from the bag and put in your pocket. What is the probability of picking:

a) a white ball?_______________

b) a blue ball

c) two red balls? ________________

d) a blue ball

a)

x + y = 9

x − y = 7

b)

4x - 3y = 10

8x + 5y = -10

a) (25x

b) (x

Solve the equation below: two different ways.

First, solve using the

Second, solve it by

x

Convert the following repeating decimal into a fraction

x = 1.01255555555555

3 - √(x - 2) = 1

a) 2 / √( 5)

b) 4 / (√( 5) - 2)

Use a trigonometric ratio to find x:

Word problems

The sum of two consecutive even integers is 18. What are the integers? (Hint: use 2x as the first even integer)

The integers are _______________ and ________________

After you leave your house, you walk 10 blocks east and 6 blocks south. How far are you from your house?

I am __________________ blocks from my house

The length of a rectangle is two more than the width. The area is 35. Find the length and the width (Hint: Let x be the width).

Width = ______________ length = ___________________

To print this algebra practice test, click here.

This algebra practice test is an attempt to measure most skills taught in algebra such as the ones mentioned below:

- Add and subtract integers
- Scientific notation
- Solving equations and inequalities
- Add polynomials
- Solving system of equations using the substitution method or the elimination method
- Solving quadratic equations
- Using the Pythagorean theorem to solve problems.

Keep in mind nonetheless that this algebra practice test is not an exhaustive list. However, if you can answer most question comfortably, you have definitely mastered most important skills taught in algebra.

The solution will not only show you how to do the problems, but it will also teach you lots of important algebra concepts that will help you succeed in algebra.

- You are about to take a test in algebra
- You are trying to understand algebra
- You struggle with algebra
- You are about to take an algebra class and you want to prepare yourself to thrive
- You are a student and you are about to take a state test like the MCAS and it is a requirement for graduation
- You want to brush up your algebra skills
- You have been trying to learn algebra and failed many times
- Basically, anyone who needs a solid foundation in algebra needs this algebra practice test

This algebra practice test should take about 3 hours or 4 hours to complete