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subject: Pre Algebra Practice Problems [print this page]

Pre-algebra is a common name for a course in middle school mathematics. In the United States, it is generally taught between the seventh and ninth grades, although it may be necessary to take this course as early as sixth grade in order to advance to Calculus BC by twelfth grade. The objective of pre-algebra is to prepare the student for the study of algebra.

Examples for Pre Algebra Practice Problems:

Pre-algebra - Example 1: Simplify 4 + 9.

Sol : = 4 + 9

= 4 + 9

= 13

Answer : 13

Pre-algebra -Example 2: Simplify '2/15' + '2/5'

Sol : '2/15' + '2/5'

First, find the LCM:

15 : 3 X 5

5 : 5 X1

Then convert and simplify:

= '2/15' + '2/5'

= '2/15' + '2/5' X '3/3'

= '2/15' + '6/15'

= '8/15'

Answer : '8/15'

Pre-algebra - Example 3: Simplify 18 (16) 3 (5) + 2

Sol : = 18 (16) 3 (5) + 2

= 18 + 16 3 + 5 + 2

= 18 + 16 + (3) + 5 + 2

= 18 + 16 + 5 + 2 + (3)

= 41 + (3)

= 41 3

= 38

Answer : 3

Pre-algebra - Example 4: Simplify 84 + (99) + 44 (18) 43.

Sol : = 84 + (99) + 44 (18) 43

= 84 + (99) + 44 + 18 + (43)

= 84 + 44 + 18 + (99) + (43)

= 146 + (142)

= 146 142

= 4

Answer : 4

Pre-algebra - Example 5:

What is 35% of 80?

Solution :

we have the rate (35%) and the original number (80); the unknown is the comparative number which constitutes 35% of 80.

x = (0.35)(80)

x = 28

Answer : x = 28

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Pre-algebra - Example 6:

Solve 6x + 2y = 28

y + 5 = 6x

Solution:

Step 1:

6x + 2y = 28 ------ > (equation 1)

y + 5 = 6x (equation 2)

To choose the equation where the coefficient of the variable is 1.

Choose equation 2 to isolate the variable y

y = 6x 5 (equation 3)

Step 2: From equation 3, we know that y-value is the same as the 6x 5

We can to substitute the variable y-values in the equation 1 with 6x 5

6x + 2 (6x 5) = 28

Step 3: Remove the brackets by using the distributive property

6x + 12x 10 = 28

Step 4: To combine the terms

18x 10 = 28

Step 5: To Isolate the variable of x

18x = 18

x = 18/18

x = 1

Step 6: Substitute x = 1 in the equation 3 to get the y-value.

y = 6(1) 5

y = 6 5 = 1

Step 7: To check the answer with the equation 2

1 + 5 = 6(1)

6 = 6

Answer: x = 1 and y = 1

Practice Pre-algebra Problems:

Pre-algebra practice problem 1:

Simplify: 15 + 20

Answer: 35

Pre-algebra practice problem 2:

What is 18% of 70?

Answer: 12.6

Pre-algebra practice problem 3:

Simplify 16 + (69) + 34 (16) 32.

Answer: -35

Pre-algebra practice problem 4:

Simplify 24 (18) 5 (2) + 9

Answer: 48

Pre-algebra practice problem 5:

Simplify 5x + 15 = 40 15x

Answer: x = 1

Pre-algebra practice problem 6:

Solve for x and y for the following equations

5x + y = 8

6x + y = 7

Answer: x = -1 and y = 13

by: mathqa

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