One-step equations practice worksheet with algebra problems and real-world scenarios.

Let’s solve each problem one by one, step by step.

---

Problem 1:
> Walter had 2 more bags than his brother Martin. Walter has 79 of the total number of bags. Which equation can be used to find how many bags Martin has? Then solve the equation.

We’re told:
- Walter has 79 bags.
- Walter has 2 more than Martin → So Martin has 2 fewer than Walter.

So if we let x = number of bags Martin has, then:

Walter’s bags = x + 2
But we know Walter has 79 → so:

x + 2 = 79

Now solve for x:

Subtract 2 from both sides:

x = 79 - 2
x = 77

✔ Correct choice: B) x + 2 = 79

---

Problem 2:
> New York has 24 fewer senators in the House of Representatives than California does. New York has 29 representatives. Which equation can be used to find the number of California's representatives? Then solve the equation.

Let x = number of California’s representatives

New York has 24 fewer than California → so:

New York = x - 24
But New York has 29 → so:

x - 24 = 29

Solve:

Add 24 to both sides:

x = 29 + 24
x = 53

✔ Correct choice: D) x - 24 = 29

---

Problem 3:
> Felgar earns $9 per hour for helping his grandmother clean her house. Which equation can be used to find how many hours he worked if his grandmother paid him $54? Then solve the equation.

Let h = number of hours worked

He earns $9 per hour → total pay = 9 × h
Total pay is $54 → so:

9h = 54

Solve:

Divide both sides by 9:

h = 54 ÷ 9
h = 6

✔ Correct choice: C) 9h = 54

---

Problem 4:
> On a trip, the Salins family drove at an average speed of 62 miles per hour. Which equation can be used to find how many hours it will take them to drive 558 miles? Then solve the equation.

Distance = Speed × Time
→ 558 = 62 × t
So:

62t = 558

Solve:

t = 558 ÷ 62
Let’s calculate that:

62 × 9 = 558 → yes!

t = 9

✔ Correct choice: A) 62t = 558

---

Problem 5:
> The equation m = 0.75n represents y, the total cost of n tickets at a bus. Which table contains values that satisfy this equation?

Wait — there’s a typo in the question. It says “represents y”, but the equation uses m and n. Probably meant:
“m = 0.75n” where m = total cost, n = number of tickets.

So for each ticket (n), cost m = 0.75 × n

Let’s test Table A:

Table A:
n | m
1 | 0.75 → 0.75×1 = 0.75 ✔
2 | 1.50 → 0.75×2 = 1.50 ✔
3 | 2.25 → 0.75×3 = 2.25 ✔
4 | 3.00 → 0.75×4 = 3.00 ✔
5 | 3.75 → 0.75×5 = 3.75 ✔

Perfect match.

Check Table B just in case:

n=1 → m=0.25 → 0.75×1 ≠ 0.25 ✘

So only Table A works.

✔ Answer: A) Cost of Bus Tickets (first table)

---

Final Answers:

1. B) x + 2 = 79 → x = 77
2. D) x - 24 = 29 → x = 53
3. C) 9h = 54 → h = 6
4. A) 62t = 558 → t = 9
5. A) First table (Cost of Bus Tickets with m = 0.75n)

──────────────────────────────────────

Final Answer:
1. B, x = 77
2. D, x = 53
3. C, h = 6
4. A, t = 9
5. A