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Worksheet Answer Key & Solution Generator
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NEOKYRU ACADEMIC STEM PRACTICE SERIES
SOLUTION ANSWER KEY
Topic: algebra • Difficulty: INTERMEDIATE • Set ID #1
Official Teacher & Tutor Key
(Complete Mathematical Derivations)
(Complete Mathematical Derivations)
Problem #1[2 Marks]
Solve for x: 6x + 9 = 51
Final Answer: x = 7
• Step 1: Subtract 9 from both sides: 6x = 51 - 9 = 42
• Step 2: Divide both sides by 6: x = 42 / 6
• Final Solution: x = 7
Problem #2[2 Marks]
Solve for x: 7x + 12 = 54
Final Answer: x = 6
• Step 1: Subtract 12 from both sides: 7x = 54 - 12 = 42
• Step 2: Divide both sides by 7: x = 42 / 7
• Final Solution: x = 6
Problem #3[2 Marks]
Solve for x: 8x + 2 = 42
Final Answer: x = 5
• Step 1: Subtract 2 from both sides: 8x = 42 - 2 = 40
• Step 2: Divide both sides by 8: x = 40 / 8
• Final Solution: x = 5
Problem #4[2 Marks]
Solve for x: 2x + 5 = 13
Final Answer: x = 4
• Step 1: Subtract 5 from both sides: 2x = 13 - 5 = 8
• Step 2: Divide both sides by 2: x = 8 / 2
• Final Solution: x = 4
Problem #5[2 Marks]
Solve for x: 3x + 8 = 17
Final Answer: x = 3
• Step 1: Subtract 8 from both sides: 3x = 17 - 8 = 9
• Step 2: Divide both sides by 3: x = 9 / 3
• Final Solution: x = 3
Problem #6[2 Marks]
Solve for x: 4x + 11 = 19
Final Answer: x = 2
• Step 1: Subtract 11 from both sides: 4x = 19 - 11 = 8
• Step 2: Divide both sides by 4: x = 8 / 4
• Final Solution: x = 2
Problem #7[2 Marks]
Solve for x: 5x + 14 = 19
Final Answer: x = 1
• Step 1: Subtract 14 from both sides: 5x = 19 - 14 = 5
• Step 2: Divide both sides by 5: x = 5 / 5
• Final Solution: x = 1
Problem #8[2 Marks]
Solve for x: 6x + 4 = 70
Final Answer: x = 11
• Step 1: Subtract 4 from both sides: 6x = 70 - 4 = 66
• Step 2: Divide both sides by 6: x = 66 / 6
• Final Solution: x = 11
Problem #9[2 Marks]
Solve for x: 7x + 7 = 77
Final Answer: x = 10
• Step 1: Subtract 7 from both sides: 7x = 77 - 7 = 70
• Step 2: Divide both sides by 7: x = 70 / 7
• Final Solution: x = 10
Problem #10[2 Marks]
Solve for x: 8x + 10 = 82
Final Answer: x = 9
• Step 1: Subtract 10 from both sides: 8x = 82 - 10 = 72
• Step 2: Divide both sides by 8: x = 72 / 8
• Final Solution: x = 9
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The Role of Answer Keys in Learning
Immediate feedback through detailed answer keys allows learners to identify exactly where algebraic or conceptual mistakes occurred before bad habits become ingrained.
Formula & Step-by-Step Calculation
Step-by-Step Solution: Problem ⟹ Algebraic Steps ⟹ Verified Final Answer
Explanatory solution pathway.
Worked Step-by-Step Examples
Example 1
Answer key for 4x + 3 = 19
Solution: 4x = 16 ⟹ x = 4
• Subtract 3 from both sides: 4x = 16; Divide by 4: x = 4
Common Real-World & Academic Use Cases
- ✓ Rapid grading for educators and tutors
- ✓ Self-checking homework practice problems
- ✓ Diagnosing intermediate calculation errors
How to Use the Worksheet Answer Key & Solution Generator
1
Toggle Answer Key
Click Show Answer Key on the worksheet interface.
2
Review Step-by-Step Steps
Examine intermediate algebraic transformations and final values.
Frequently Asked Questions
Q: Should students check the answer key before or after solving?
Always attempt the problem first; checking early prevents the cognitive struggle necessary for durable learning.