Math Problem Statement
Solving One-Step Equations WS 24 - 25 (1).pdf
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Solution
The document you've uploaded contains a set of one-step equations, followed by some word problems and expressions for simplification. Below, I'll solve the equations in sequence for clarity:
One-Step Equations:
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x + 12 = 7
- Solution:
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4 = -0.8n
- Solution:
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6 = -w/8
- Solution:
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5/6 = 1/3 + d
- Solution:
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x - 8π = π
- Solution:
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-4/5 = -5/6k
- Solution:
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7x = 35
- Solution:
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-2 = 6/7n
- Solution:
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72 = -m
- Solution:
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r/π = 7.3
- Solution:
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d - 2.8 ÷ 0.2 = -14
- Solution:
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m - (1/4) · 3 = -5/6
- Solution:
Word Problems:
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Concert Ticket Problem:
- Equation:
- Solution: (Original price of the ticket is $67.50)
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Account Balance Problem:
- Equation:
- Solution:
- Interest earned:
Simplify the Expressions:
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4x + 9 - 6x - y
- Simplified:
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10 - 5(9n - 9)
- Simplified:
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-5n + 3(6 + 7n)
- Simplified:
Extra Credit:
- 12πx = 12π
- Solution:
Would you like further details on any particular question? Here are 5 related problems you might find interesting:
- Solve:
- Simplify:
- What is the original balance if 4/5 of it equals 320?
- A discounted price is $25 less than the original price of $75. What's the original price?
- If , and , , what is ?
Tip: Always double-check your solution by substituting the variable back into the original equation to verify its correctness.
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Math Problem Analysis
Mathematical Concepts
Algebra
Equations
Simplification
Formulas
x + a = b
ax = b
Simplification of expressions
Theorems
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Suitable Grade Level
Grades 6-8