Algebra 1 Word Problems for Beginners:
Once you have learned the basics of algebra 1 and algebra 1 problems, the next step is to continue with word problems. Many students get confused about algebra 1 word problems. In this article, we will learn how to solve algebra 1 word problems step by step. Now let’s start.
What are Algebra 1 Word Problems?
When real-life problems are expressed in a sentence, they are called word problems. We convert word problems into mathematical equations and solve them.
For example, in a word problem
A number increased by 5 equals 10. Find the number.
But in mathematical form,
x + 5 = 10, x =?
And to solve these equations, we have already studied algebraic equations.
Tips to Solve Algebra Word Problems Faster:
Before solving a word problem, it’s important to keep some steps in mind.
- Think deeply about the question.
This means carefully observing what the question asks.
- Convert into a mathematical equation by using keywords.
Here are some keywords you can translate to convert the word problem into a mathematical equation.
| Words | Meaning |
| Sum/total | + |
| Difference | – |
| Product | × |
| Quotient | ÷ |
| Increased by | + |
| Decreased by | – |
| Twice | 2x |
| Half | x/2 |
- Solve a mathematical equation.
- Answer.
Answer in the same units as the question.
Algebra 1 Word Problems with Answers:
Question 1:
A number increased by 5 is 15. Find the number.
Solution:
Let the number be x. And increased means addition.
Convert into a mathematical equation.
x + 5 = 15
x = 15 – 5
x = 10
Question 2:
Ali is 5 years older than Ahmad. Ahmad is 10 years old. What is Ali’s age?
Solution:
We know that Ahmad is 10 years old. Let the age of Ali be x. Then,
x = 10 + 5
x = 15
So, Ali is 15 years old.
Question 3:
You have thrice as much money as your friend. Your friend has $20. How much do you have?
Solution:
A friend has 20 dollars. And you have three times the money as a friend. And thrice means 3 times.
Friend = 20 dollars
Let,
You = x dollars
x = 3 × 20
x = 60
So you have 60 dollars.
Question 4:
The sum of a number and 5 is 20. Find the number.
Solution:
Let x = number
x + 5 = 20
x = 20 – 5
x = 15
Question 5:
The difference of a number and 9 is 20. Find the number.
Solution:
Let x = number
x – 9 = 20
x = 20 + 9
x = 29
Practice Questions for Algebra 1 Word Problems:
Q1. The sum of a number and its twice is 20. Find the number.
Q2. The difference between a number and its half is 10. Find the number.
Q3. Ali bought 2 kg of tomatoes on the first day and 4 kg on the second day. Find the total number of tomatoes.
Q4. The product of a number and its twice is 50. Find the number.
Q5. Find the two numbers whose sum is 20.
Common Mistakes in Algebra 1 Word Problems:
- Don’t get in a hurry to solve the word problem
- Focus on the keyword used in word problems
- Always solve equations easily
- Must check the final answer
Conclusion:
In this guide, you are shown how to understand Algebra 1 word problems, convert them into equations, and then solve them. Along with this, you are also given Algebra 1 word problems with answers. This guide also includes practice questions and tips. If you want more details, then you should learn Algebra on Wikipedia.
FAQ’s:
Q1: What are algebra 1 word problems?
Algebra 1 word problems are mathematical questions described in words.
Q2: How do you solve algebra word problems easily?
Read the question carefully. Convert into an equation and then solve.
Q3: Why are algebra word problems difficult?
Many students find it difficult because they often struggle to understand the question’s language and convert it into an equation.
Q4: What are common keywords in algebra problems?
- Sum / Total → Addition (+)
- Difference → Subtraction (−)
- Product → Multiplication (×)
- Quotient → Division (÷)
- Increased by → Addition
- Decreased by → Subtraction
- Twice → 2 times (2x)
- Half → x/2
Q5: How can beginners practice algebra word problems?
Beginners can improve by practicing the problems.
