Time
03 : 00 : 00

# Algebra test generator

Name _____________________                                        Date:_____________________

current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

Solve the following problems:

Important instructions

1.   Multiply:   -38 and 90? -3420

2.   Add:   -64 and -65? -129

3.   Divide:   97 and 97? 1

4.   Substract:   -67 and -56? -11

5.   Calculate: |-82 + -14 · -9 + 85| 129

6.   Simplify the following expressions:
• -53x + -71x + -60x -184x

• -75x – -24x – -3y + 100y -51x+103y

• -71y + 93 + 15y – 2x – 3 – -24z 90-2x-56y+24z

• y-99 × x17 × x9 × x-54 x-28 × y-99

• x55
x-34
x89

• (5x2)2 25x4

7.   Which of the following expressions show the associative property?
• 5 × ( y + 3 + 1 ) = 5×y + 5×3 + 5×1
• h × ( i + 5 ) = hi + 5i
• ( m × n ) × 3 = m × ( n × 3 )
• 0 + -3x = -3x
C

8.   Which properties are illustrated by the following three expressions?
• (b + c) × d = d × (b + c)
• (r + s + t) × 1 = r + s + t
• 1 + ( 3 + -12 ) = ( 1 + 3 ) + -12
• Commutative property of multiplication, Identity property of multiplication and Associative property of addition
• Distributive property, Associative property of multiplication and Identity property of multiplication
• Distributive property, Identity property of multiplication and Identity property of addition
A

9.   Solve the following equations for x:
• -x · -45 = 45 x = 1

• 5
10
= -
5
10
x x = -1

• 80 + 4x = 92 x = 3

• fx = -dx + e x = e/(f+d)

10.   Solve the following inequalities. Then graph a) on the number line
• 5x + -30 ≤ -35 x ≤ -1

• x ≠ -376
• -34 ≤ x ≥ 66
• 20
2
x < 20 x < 2

11.   Convert the following numbers into scientific notation:
• 0.0000000856 8.56 × 10-8

• 931000000000 9.31 × 1011

• 12z10 + -10z7  and  8z10 + 3z7 + 4z6
20z10 + -7z7 + 4z6

• -46z12 + 3z10 + -36z6 + -30z3  and  -3z13 + -33z12 + -31z10 -3z13 + -79z12 + -28z10 + -36z6 + -30z3

13.   Multiply the following polynomials and simplify:
• (3x + 7)2x2
6x3 + 14x2

• (4x5 + 3x)(10x4 + 10x - 6)
40x9 + 40x6 + 6x5 + 30x2 - 18x

14.   Divide:
• 5x3 + 25x2 - x - 5 / x + 5
5x2 - 1

15.   Find the greatest common factor of the following terms:
• 396, 120
12

• 150x8y7, 225x3y10, 495x8y2
15x3y2

16.   Factor the following polynomials:
• 3x5 - 66x4 + 63x3
3x3(x - 21)(x - 1)

• x2 - 5x - 6
(x - 6)(x + 1)

• x5 - 16x4 + 60x3
x3(x - 10)(x - 6)

17.   For question 16, exercises b) and c), solve for x:
• x =
6
and
-1

• x =
0
,
10

and
6

18.   You have 6 CDs. How many different ways can you listen to them?
• 720

19.   Use the following data to construct a box and whiskers plot:
• 30, 19, 31, 26, 3, 39, 23, 35, 32, 37 20.   A bag contains 2 blue balls, 5 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
• A white ball?
30.00%

• A blue ball or red ball?
70.00%

• Two red balls?
25.00%

• A blue ball and a white ball?
6.00%

21.   Solve and graph the following systems of linear equations:
• x + y = 10
x - y = 11
A(10.5,-0.5)

• 10x - 2y = -13
3x + y = 16

B(1.19,12.44)

22.   Write the following fractions in simplest form:
• 92x4y9
23xy2
4x3y7

• x6 + 3x5 - 18x4
x3(x - 3)
x(x + 6)

23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
• -x2 = -21x + 98
x1 = 14,   x2 = 7

24.   Convert the following repeating decimal into a fraction:
• x = 0.278
278
999

25.   Solve the following equation:
• 20 -
x + 6
= 11
x = 75

26.   Rationalize the denominator of each fraction below:
• 14
7
- 35
-
7
+ 35
87

27.   Use a trigonometric ratio to find x: x = 9.50 cm

28.   The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=15, b=17

29.   After you leave your house, you walk 8 blocks south and 15 blocks west. How far are you from your house?
• I am
17
blocks from my house.

30.   The length of a rectangle is 2 more than twice its width. The area of the rectangle is 84ft2. What is the length and width of the rectangle?
• width = 6,  length = 14

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.

Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball. 