SOLUTION: Kuta Software Infinite Algebra 1: Systems of Equations ... - Free Printable

Educational worksheet: SOLUTION: Kuta Software Infinite Algebra 1: Systems of Equations .... Download and print for classroom or home learning activities.

JPG 1620×2069 164.1 KB Free · Personal Use

Quality Assured by Worksheets Library Team

Reviewed for educational accuracy and age-appropriateness

ID: #749367

✨ Generate New Worksheet

⭐

Show Answer Key & Explanations Step-by-step solution for: SOLUTION: Kuta Software Infinite Algebra 1: Systems of Equations ...

▼

Let’s solve the first problem step by step.

We are told:

> The sum of two numbers is 20.
> One number is 4 more than the other.
> Find the two numbers.

---

Step 1: Let’s call the smaller number x.

Then, since the other number is 4 more than this one, we can call it x + 4.

---

Step 2: Their sum is 20. So we write the equation:

x + (x + 4) = 20

---

Step 3: Simplify the left side:

2x + 4 = 20

---

Step 4: Subtract 4 from both sides:

2x = 16

---

Step 5: Divide both sides by 2:

x = 8

---

Step 6: Now find the other number:

x + 4 = 8 + 4 = 12

---

Check:
8 + 12 = 20 → correct.
12 is 4 more than 8 → correct.

Final Answer:
The two numbers are 8 and 12.

Parent Tip: Review the logic above to help your child master the concept of algebra 1 systems of equations worksheet.

Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

Related worksheets: algebra 1 systems of equations worksheet