# Practice algebra test

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Name _____________________                                        Date:_____________________

The following problems

1. What is the product of-10 and + 5? ____________

2. Add: -10 + 5 ____________

3. What is the quotient of-16 and -4? _____________

4. Subtract: – – 1-8 _

5. Calculate: | -6 × 2 +-4 × – 3| ___________

6. Simplify the following expressions:

(a) 4 x + 5 + 2 x _

(b) – 6 x + 4z +-3 x – 10z _

(c) – 10y – 2y – – – 6y _ 9z 3z

(d) x 5 × × x-7 × y10 _ y4

e) x 8 ÷ 2 x ____________

f) (4x)3 _________________

g) (-5c)4 _________________

7. That the following expressions show the associative property?

A. 5 × 7 + 2 = 2 + 5 × 7      B. 5 + 7 = 7 + 5      C. (5 × 7) × 2 = 5 × (7 × 2)      D. x 2 + 7

8. What properties are illustrated by the following three expressions?

a)-1 × 7 + 2 = 2 +-1 × 7

(b) 9 * 1 = 9

(c) 4 × (6 + 2) = 4 × 2 + 4 × 6

A. identity property of addition, distributive property and commutative property of addition
B. identity property of addition, distributive property and associative property of addition
V. identity property of multiplication, distributive property and commutative property of addition
D. identity property of multiplication, distributive property and commutative property of multiplication

9. Resolve the following equations for x:

(a) – x 2 = – 7

(b) x – – 2 = – 7

(c) (2/3) x = 6

(d) – 2 x + 5 = – 11

(ax e) + b = EI

10. Resolve the following inequalities. (Then a chart) on the number line

(a) 3 x – 2 >-11

(b) ? x 5

(c) – 1 = x

(d) – 5f

11.

Convert the following numbers in scientific notation:

(a) _ 0.0000000000245

(b) _ 890000000

(a) 9z8 + 2z5 + 4z2 + 2 and b – 6z5 + – 4z2 + – 1z +-8

(b) z6 + 5z4 + – 10z3 + – 7 and – z6 + 8z4 + – 4z3 8

13. Multiply the following polynomials and simplify

(a) 4 x 3 (2 x 2 + x – 5) _

(b) (4 x 3 + 4) (2 x 2 + x – 5) _

14. Divide: 3-6 x 2 + 5 x – 30 x / x – 6 _

15. Find the greatest common factor the following expressions:

(a) 15, 30

(b) 15 x 3, 30 x 2

16. The following factor polynomials

(a) 12 x 2 + 24 x 3 + – 18 x _

(b) x 2 – 3 x – 18 _

(c) x 6 + 13 x 5 + 42 x 4 _

(_17._ _à_la_question_16,_exerce_b) and (c)), solve for x

b) x = ___________ and ____________

c) x = ___________, _____________, and, _______________

18. How many ways you and 3 other friends can sit on 4 chairs? _____________

19. Use the following data to construct a box and whisker plot:

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

20. Solve and graph the following inequality: 2 x + 5 &GT; 12

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

You choose a bullet of the bag and put in your pocket. What is the probability of picking:

(a) a white ball? _______________

(b) a blue ball or a red ball? _______________

(c) two red balls? ________________

(d) a blue ball and a white ball

21. Solve and graph of the following systems of linear equations:

(a)

x + y = 9

x – y = 7

(b)

4 x – 3y = 10

8 x + 5y = – 10

22. Write the following fractions in the simplest form:

(a) (25 x 6 36 z7) / (50 x 8 6z5)

(b) (6 x + 13 x 5 + 42 x 4) / x 3 (x + 6)

23.

Solve the equation below: two different ways.

First, solve using the quadratic formula:

Second, to solve it by completing the square

x 2 =-3 x + 10

24.

Transform the following recurring decimal fraction

x = 1.01255555555555

25. Solve the following equation:

3 – v (x – 2) = 1

26. Rationalize the denominator of each fraction below:

(a) 2 / v (5)

(b) 4 / (v (5) – 2)

27.

Using a trigonometric ratio to find x:

Word problems

28.

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

Integers are ______ and ______

29.

After leaving your home, you walk 10 blocks east and 6 blocks to the South. How far are you from your home?

I am _ blocks of my house.

30.

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

Width = length = _ _

This practice algebra test is an attempt to measure most of the skills taught in algebra. Keep in mind that this practice algebra test is not an exhaustive list

However, if you can answer more ergonomic question, you have certainly mastered most important skills taught in algebra.

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

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