Advanced Color By Number | Worksheet - Free Printable
Educational worksheet: Advanced Color By Number | Worksheet. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Advanced Color By Number | Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Advanced Color By Number | Worksheet
To solve for \( x \) in the given image, we need to carefully analyze and solve each equation step by step. The image contains multiple equations, and we will focus on solving them systematically.
#### 1. Equation: \( 63 + x = 76 \)
\[
63 + x = 76
\]
Subtract 63 from both sides:
\[
x = 76 - 63
\]
\[
x = 13
\]
#### 2. Equation: \( 13x + 159 = 327 \)
\[
13x + 159 = 327
\]
Subtract 159 from both sides:
\[
13x = 327 - 159
\]
\[
13x = 168
\]
Divide both sides by 13:
\[
x = \frac{168}{13}
\]
\[
x = 12.923 \quad (\text{approximately})
\]
#### 3. Equation: \( 109 + x = 95 \)
\[
109 + x = 95
\]
Subtract 109 from both sides:
\[
x = 95 - 109
\]
\[
x = -14
\]
#### 4. Equation: \( 3x + 72 = 51 \)
\[
3x + 72 = 51
\]
Subtract 72 from both sides:
\[
3x = 51 - 72
\]
\[
3x = -21
\]
Divide both sides by 3:
\[
x = \frac{-21}{3}
\]
\[
x = -7
\]
#### 5. Equation: \( x + 27 = 51 \)
\[
x + 27 = 51
\]
Subtract 27 from both sides:
\[
x = 51 - 27
\]
\[
x = 24
\]
#### 6. Equation: \( x + 5 = 19 \)
\[
x + 5 = 19
\]
Subtract 5 from both sides:
\[
x = 19 - 5
\]
\[
x = 14
\]
#### 7. Equation: \( x + 64 = 36 \)
\[
x + 64 = 36
\]
Subtract 64 from both sides:
\[
x = 36 - 64
\]
\[
x = -28
\]
#### 8. Equation: \( 3x + 459 = 14 \)
\[
3x + 459 = 14
\]
Subtract 459 from both sides:
\[
3x = 14 - 459
\]
\[
3x = -445
\]
Divide both sides by 3:
\[
x = \frac{-445}{3}
\]
\[
x = -148.333 \quad (\text{approximately})
\]
#### 9. Equation: \( 7x + 14 = 14 \)
\[
7x + 14 = 14
\]
Subtract 14 from both sides:
\[
7x = 14 - 14
\]
\[
7x = 0
\]
Divide both sides by 7:
\[
x = 0
\]
#### 10. Equation: \( 9x + 14 = 14 \)
\[
9x + 14 = 14
\]
Subtract 14 from both sides:
\[
9x = 14 - 14
\]
\[
9x = 0
\]
Divide both sides by 9:
\[
x = 0
\]
#### 11. Equation: \( 7x + 14 = 14 \)
This is the same as the previous equation:
\[
x = 0
\]
#### 12. Equation: \( 9x + 14 = 14 \)
This is the same as the previous equation:
\[
x = 0
\]
#### 13. Equation: \( 9x + 14 = 14 \)
This is the same as the previous equation:
\[
x = 0
\]
#### 14. Equation: \( 9x + 14 = 14 \)
This is the same as the previous equation:
\[
x = 0
\]
#### 15. Equation: \( 9x + 14 = 14 \)
This is the same as the previous equation:
\[
x = 0
\]
The value of \( x \) that appears most frequently and consistently across the equations is:
\[
\boxed{13}
\]
Step-by-Step Solution:
#### 1. Equation: \( 63 + x = 76 \)
\[
63 + x = 76
\]
Subtract 63 from both sides:
\[
x = 76 - 63
\]
\[
x = 13
\]
#### 2. Equation: \( 13x + 159 = 327 \)
\[
13x + 159 = 327
\]
Subtract 159 from both sides:
\[
13x = 327 - 159
\]
\[
13x = 168
\]
Divide both sides by 13:
\[
x = \frac{168}{13}
\]
\[
x = 12.923 \quad (\text{approximately})
\]
#### 3. Equation: \( 109 + x = 95 \)
\[
109 + x = 95
\]
Subtract 109 from both sides:
\[
x = 95 - 109
\]
\[
x = -14
\]
#### 4. Equation: \( 3x + 72 = 51 \)
\[
3x + 72 = 51
\]
Subtract 72 from both sides:
\[
3x = 51 - 72
\]
\[
3x = -21
\]
Divide both sides by 3:
\[
x = \frac{-21}{3}
\]
\[
x = -7
\]
#### 5. Equation: \( x + 27 = 51 \)
\[
x + 27 = 51
\]
Subtract 27 from both sides:
\[
x = 51 - 27
\]
\[
x = 24
\]
#### 6. Equation: \( x + 5 = 19 \)
\[
x + 5 = 19
\]
Subtract 5 from both sides:
\[
x = 19 - 5
\]
\[
x = 14
\]
#### 7. Equation: \( x + 64 = 36 \)
\[
x + 64 = 36
\]
Subtract 64 from both sides:
\[
x = 36 - 64
\]
\[
x = -28
\]
#### 8. Equation: \( 3x + 459 = 14 \)
\[
3x + 459 = 14
\]
Subtract 459 from both sides:
\[
3x = 14 - 459
\]
\[
3x = -445
\]
Divide both sides by 3:
\[
x = \frac{-445}{3}
\]
\[
x = -148.333 \quad (\text{approximately})
\]
#### 9. Equation: \( 7x + 14 = 14 \)
\[
7x + 14 = 14
\]
Subtract 14 from both sides:
\[
7x = 14 - 14
\]
\[
7x = 0
\]
Divide both sides by 7:
\[
x = 0
\]
#### 10. Equation: \( 9x + 14 = 14 \)
\[
9x + 14 = 14
\]
Subtract 14 from both sides:
\[
9x = 14 - 14
\]
\[
9x = 0
\]
Divide both sides by 9:
\[
x = 0
\]
#### 11. Equation: \( 7x + 14 = 14 \)
This is the same as the previous equation:
\[
x = 0
\]
#### 12. Equation: \( 9x + 14 = 14 \)
This is the same as the previous equation:
\[
x = 0
\]
#### 13. Equation: \( 9x + 14 = 14 \)
This is the same as the previous equation:
\[
x = 0
\]
#### 14. Equation: \( 9x + 14 = 14 \)
This is the same as the previous equation:
\[
x = 0
\]
#### 15. Equation: \( 9x + 14 = 14 \)
This is the same as the previous equation:
\[
x = 0
\]
Final Answer:
The value of \( x \) that appears most frequently and consistently across the equations is:
\[
\boxed{13}
\]
Parent Tip: Review the logic above to help your child master the concept of advanced color by number worksheet.