**Print your practice algebra test before you start**

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

**12.** Add the following polynomials:

(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 > 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 = _ _

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