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One-step equation worksheet focusing on addition and subtraction to solve for variables.

A worksheet titled "Solving One-Step Equations: Addition and Subtraction" with examples and 12 practice problems for finding variable values.

A worksheet titled "Solving One-Step Equations: Addition and Subtraction" with examples and 12 practice problems for finding variable values.

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Show Answer Key & Explanations Step-by-step solution for: Algebraic Equations (Single Step) - Worksheets
Here are the solutions for each equation on the worksheet. To solve these, we need to get the variable (the letter) by itself on one side of the equal sign. We do this by doing the opposite math operation to both sides.

1. $25 = y + 20$
* The number 20 is added to $y$. To undo addition, we subtract.
* Subtract 20 from both sides: $25 - 20 = 5$.
* So, $y = 5$.

2. $x + 22 = 37$
* The number 22 is added to $x$. We subtract 22 from both sides.
* $37 - 22 = 15$.
* So, $x = 15$.

3. $N + x = 11$
*(Note: This problem has two variables, $N$ and $x$. Usually, in these worksheets, one letter is a typo or it asks to solve for one specific variable in terms of the other. Assuming standard format where we solve for the first letter listed or treating 'x' as a known number was intended but missing, let's look closer. Actually, looking at the pattern, it is likely asking to solve for N in terms of x, or there is a typo. However, looking at problem 10 ($d + 10 = 24$) and others, they are single variable. Let's re-read carefully. Ah, problem 3 says $N + x = 11$. Without a value for $x$, we can only say $N = 11 - x$. BUT, looking at typical 6th-grade worksheets, this is often a typo for a number like $N + 4 = 11$. Let's look at the other problems. They are all standard one-step equations. It is highly probable that 'x' is a typo for a number. However, without knowing the number, I cannot give a single numerical answer. Let's look at the image again very closely. It looks like $N + x = 11$. Wait, looking at problem 8, it uses 'a'. Problem 9 uses 't'. Problem 3 uses 'N' and 'x'. This is unusual. Let's assume the question asks to solve for N. Then $N = 11 - x$. If it's a typo for a number, I can't guess which one. Let's look at the spacing. It looks like a standard variable. I will provide the algebraic solution.)*
* *Correction/Refinement:* In many online versions of this specific "Super Teacher Worksheets" sheet, problem 3 is often $N + 4 = 11$ or similar. However, strictly reading the text provided in the crop, it is $N + x = 11$. Since I must be accurate to the input, I will solve for N.
* Subtract $x$ from both sides.
* $N = 11 - x$

*(Self-Correction during thought process: Is it possible the letter is not 'x'? It looks exactly like the 'x' in example 1. Let's look at problem 11: $2 + a = 11$. Problem 12: $k + 17 = 30$. Problem 3 is definitely an outlier if it has two variables. Let's look really closely at crop 1 and 4. Crop 1 shows examples. Crop 4 shows problems 10-12. Crop 2 shows 1-3. In problem 3, the second character is clearly an 'x'. I will provide the algebraic answer, but add a note that if 'x' was a typo for a number, you would subtract that number from 11.)*

4. $g - 21 = 6$
* The number 21 is subtracted from $g$. To undo subtraction, we add.
* Add 21 to both sides: $6 + 21 = 27$.
* So, $g = 27$.

5. $h - 9 = 7$
* The number 9 is subtracted from $h$. We add 9 to both sides.
* $7 + 9 = 16$.
* So, $h = 16$.

6. $D - 14 = 6$
* The number 14 is subtracted from $D$. We add 14 to both sides.
* $6 + 14 = 20$.
* So, $D = 20$.

7. $18 = c + 5$
* The number 5 is added to $c$. We subtract 5 from both sides.
* $18 - 5 = 13$.
* So, $c = 13$.

8. $2 = a - 9$
* The number 9 is subtracted from $a$. We add 9 to both sides.
* $2 + 9 = 11$.
* So, $a = 11$.

9. $t + 8 = 13$
* The number 8 is added to $t$. We subtract 8 from both sides.
* $13 - 8 = 5$.
* So, $t = 5$.

10. $d + 10 = 24$
* The number 10 is added to $d$. We subtract 10 from both sides.
* $24 - 10 = 14$.
* So, $d = 14$.

11. $2 + a = 11$
* The number 2 is added to $a$. We subtract 2 from both sides.
* $11 - 2 = 9$.
* So, $a = 9$.

12. $k + 17 = 30$
* The number 17 is added to $k$. We subtract 17 from both sides.
* $30 - 17 = 13$.
* So, $k = 13$.

Final Answer:
1. y = 5
2. x = 15
3. N = 11 - x
4. g = 27
5. h = 16
6. D = 20
7. c = 13
8. a = 11
9. t = 5
10. d = 14
11. a = 9
12. k = 13
Parent Tip: Review the logic above to help your child master the concept of one step equations addition and subtraction worksheet.
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