123ArticleOnline Logo
Welcome to 123ArticleOnline.com!
ALL >> Education >> View Article

Pre Algebra Practice Problems

Profile Picture
By Author: math qa22
Total Articles: 69
Comment this article
Facebook ShareTwitter ShareGoogle+ ShareTwitter Share

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

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

Check this math word problem solver online awesome i recently used to see.

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

Learn more on about What is a Triangular Prism and its Examples. Between, if you have problem on these topics differentiation rules, Please share your comments.

Total Views: 143Word Count: 604See All articles From Author

Add Comment

Education Articles

1. Guaranteed Grades: Pay Someone To Take My Exam
Author: Doug Macejkovic

2. Blocks Before Books
Author: Michale

3. Azure Devops Training Online | Azure Devops Online Training
Author: visualpath

4. Learn Python Programming - from Basics To advanced
Author: vishal more

5. Data Engineering Course In Hyderabad | Aws Data Analytics Training
Author: naveen

6. Oci Online Training | Oracle Cloud Infrastructure In Hyderabad
Author: visualpath

7. Best Salesforce Data Cloud Certification Training
Author: visualpath

8. The Benefits Of Online Dry Needling Certification
Author: Daulat

9. Top Google Cloud Data Engineer Training In Bangalore
Author: Visualpath

10. Aima’s Management Diploma: The Smart Choice For Future Leaders
Author: Aima Courses

11. How Regular Mock Test For Bank Help You Crack Bank Exams
Author: Ayush Sharma

12. Debunking The Myth: Is Preschool Just Playtime?⁠
Author: Kookaburra

13. Cps Global School: A World-class Learning Destination In Chennai
Author: CPS Global School

14. Chennai Public School: Shaping Future Leaders Through Excellence In Education
Author: Chennai Public School

15. "transform Your Data Analysis With Lcc Computer Education's Excel Training"
Author: Khushi Gill

Login To Account
Login Email:
Password:
Forgot Password?
New User?
Sign Up Newsletter
Email Address: