2nd Grade Math Color By Number | Math color sheets, Math coloring ... - Free Printable

This is a "Color by Number" activity that combines solving algebraic equations with coloring. Each equation corresponds to a specific color based on the solution. Here's how to solve the problem step-by-step:

---

Step 1: Understand the Instructions

- Solve each algebraic equation.
- Match the solution to the corresponding number (3, 4, 5, 6, 7, 8, or 9).
- Use the provided color key to determine which color to use for each section.

Step 2: Solve Each Equation

We will solve each equation one by one and find the value of \( x \). Then, we'll match the solution to the appropriate color.

#### Equation 1: \( 26 + -5x = 11 \)
\[
26 - 5x = 11
\]
Subtract 26 from both sides:
\[
-5x = 11 - 26
\]
\[
-5x = -15
\]
Divide by -5:
\[
x = 3
\]
Solution: \( x = 3 \) → Color: blue

#### Equation 2: \( 47 - 3x = 32 \)
\[
47 - 3x = 32
\]
Subtract 47 from both sides:
\[
-3x = 32 - 47
\]
\[
-3x = -15
\]
Divide by -3:
\[
x = 5
\]
Solution: \( x = 5 \) → Color: purple

#### Equation 3: \( 55 + 3x = 67 \)
\[
55 + 3x = 67
\]
Subtract 55 from both sides:
\[
3x = 67 - 55
\]
\[
3x = 12
\]
Divide by 3:
\[
x = 4
\]
Solution: \( x = 4 \) → Color: pink

#### Equation 4: \( 64 + -4x = 29 \)
\[
64 - 4x = 29
\]
Subtract 64 from both sides:
\[
-4x = 29 - 64
\]
\[
-4x = -35
\]
Divide by -4:
\[
x = \frac{35}{4} = 8.75
\]
Since this does not match any of the given numbers (3, 4, 5, 6, 7, 8, 9), it seems there might be an error in the equation or the instructions. For now, let's assume it's not part of the valid solutions.

#### Equation 5: \( 73 + -3x = 55 \)
\[
73 - 3x = 55
\]
Subtract 73 from both sides:
\[
-3x = 55 - 73
\]
\[
-3x = -18
\]
Divide by -3:
\[
x = 6
\]
Solution: \( x = 6 \) → Color: red

#### Equation 6: \( 6 + 3x = 15 \)
\[
6 + 3x = 15
\]
Subtract 6 from both sides:
\[
3x = 15 - 6
\]
\[
3x = 9
\]
Divide by 3:
\[
x = 3
\]
Solution: \( x = 3 \) → Color: blue

#### Equation 7: \( 157 + 11x = 69 \)
\[
157 + 11x = 69
\]
Subtract 157 from both sides:
\[
11x = 69 - 157
\]
\[
11x = -88
\]
Divide by 11:
\[
x = -8
\]
Since this does not match any of the given numbers (3, 4, 5, 6, 7, 8, 9), it seems there might be an error in the equation or the instructions. For now, let's assume it's not part of the valid solutions.

#### Equation 8: \( 67 - 4x = 46 \)
\[
67 - 4x = 46
\]
Subtract 67 from both sides:
\[
-4x = 46 - 67
\]
\[
-4x = -21
\]
Divide by -4:
\[
x = \frac{21}{4} = 5.25
\]
Since this does not match any of the given numbers (3, 4, 5, 6, 7, 8, 9), it seems there might be an error in the equation or the instructions. For now, let's assume it's not part of the valid solutions.

#### Equation 9: \( 102 - 12x = 66 \)
\[
102 - 12x = 66
\]
Subtract 102 from both sides:
\[
-12x = 66 - 102
\]
\[
-12x = -36
\]
Divide by -12:
\[
x = 3
\]
Solution: \( x = 3 \) → Color: blue

#### Equation 10: \( 26 + 5x = 11 \)
\[
26 + 5x = 11
\]
Subtract 26 from both sides:
\[
5x = 11 - 26
\]
\[
5x = -15
\]
Divide by 5:
\[
x = -3
\]
Since this does not match any of the given numbers (3, 4, 5, 6, 7, 8, 9), it seems there might be an error in the equation or the instructions. For now, let's assume it's not part of the valid solutions.

#### Equation 11: \( 32 + 5x = 33 \)
\[
32 + 5x = 33
\]
Subtract 32 from both sides:
\[
5x = 33 - 32
\]
\[
5x = 1
\]
Divide by 5:
\[
x = \frac{1}{5}
\]
Since this does not match any of the given numbers (3, 4, 5, 6, 7, 8, 9), it seems there might be an error in the equation or the instructions. For now, let's assume it's not part of the valid solutions.

#### Equation 12: \( 37 + -3x = 16 \)
\[
37 - 3x = 16
\]
Subtract 37 from both sides:
\[
-3x = 16 - 37
\]
\[
-3x = -21
\]
Divide by -3:
\[
x = 7
\]
Solution: \( x = 7 \) → Color: green

#### Equation 13: \( -3x + 29 = 17 \)
\[
-3x + 29 = 17
\]
Subtract 29 from both sides:
\[
-3x = 17 - 29
\]
\[
-3x = -12
\]
Divide by -3:
\[
x = 4
\]
Solution: \( x = 4 \) → Color: pink

#### Equation 14: \( 120 - 14x = 17 \)
\[
120 - 14x = 17
\]
Subtract 120 from both sides:
\[
-14x = 17 - 120
\]
\[
-14x = -103
\]
Divide by -14:
\[
x = \frac{103}{14} \approx 7.36
\]
Since this does not match any of the given numbers (3, 4, 5, 6, 7, 8, 9), it seems there might be an error in the equation or the instructions. For now, let's assume it's not part of the valid solutions.

#### Equation 15: \( 46 + 3x = 64 \)
\[
46 + 3x = 64
\]
Subtract 46 from both sides:
\[
3x = 64 - 46
\]
\[
3x = 18
\]
Divide by 3:
\[
x = 6
\]
Solution: \( x = 6 \) → Color: red

#### Equation 16: \( 62 - 1x = 53 \)
\[
62 - x = 53
\]
Subtract 62 from both sides:
\[
-x = 53 - 62
\]
\[
-x = -9
\]
Multiply by -1:
\[
x = 9
\]
Solution: \( x = 9 \) → Color: yellow

#### Equation 17: \( 16 + 2x = 22 \)
\[
16 + 2x = 22
\]
Subtract 16 from both sides:
\[
2x = 22 - 16
\]
\[
2x = 6
\]
Divide by 2:
\[
x = 3
\]
Solution: \( x = 3 \) → Color: blue

#### Equation 18: \( 44 - 2x = 30 \)
\[
44 - 2x = 30
\]
Subtract 44 from both sides:
\[
-2x = 30 - 44
\]
\[
-2x = -14
\]
Divide by -2:
\[
x = 7
\]
Solution: \( x = 7 \) → Color: green

#### Equation 19: \( 103 - 4x = 71 \)
\[
103 - 4x = 71
\]
Subtract 103 from both sides:
\[
-4x = 71 - 103
\]
\[
-4x = -32
\]
Divide by -4:
\[
x = 8
\]
Solution: \( x = 8 \) → Color: orange

#### Equation 20: \( 85 - 2x = 67 \)
\[
85 - 2x = 67
\]
Subtract 85 from both sides:
\[
-2x = 67 - 85
\]
\[
-2x = -18
\]
Divide by -2:
\[
x = 9
\]
Solution: \( x = 9 \) → Color: yellow

#### Equation 21: \( 34 + 5x = 64 \)
\[
34 + 5x = 64
\]
Subtract 34 from both sides:
\[
5x = 64 - 34
\]
\[
5x = 30
\]
Divide by 5:
\[
x = 6
\]
Solution: \( x = 6 \) → Color: red

#### Equation 22: \( -4x + 7 = 43 \)
\[
-4x + 7 = 43
\]
Subtract 7 from both sides:
\[
-4x = 43 - 7
\]
\[
-4x = 36
\]
Divide by -4:
\[
x = -9
\]
Since this does not match any of the given numbers (3, 4, 5, 6, 7, 8, 9), it seems there might be an error in the equation or the instructions. For now, let's assume it's not part of the valid solutions.

#### Equation 23: \( 76 + 2x = 86 \)
\[
76 + 2x = 86
\]
Subtract 76 from both sides:
\[
2x = 86 - 76
\]
\[
2x = 10
\]
Divide by 2:
\[
x = 5
\]
Solution: \( x = 5 \) → Color: purple

#### Equation 24: \( 109 + -4x = 73 \)
\[
109 - 4x = 73
\]
Subtract 109 from both sides:
\[
-4x = 73 - 109
\]
\[
-4x = -36
\]
Divide by -4:
\[
x = 9
\]
Solution: \( x = 9 \) → Color: yellow

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Step 3: Assign Colors

Using the solutions, assign the colors to the corresponding sections of the flower:

- \( x = 3 \): blue
- \( x = 4 \): pink
- \( x = 5 \): purple
- \( x = 6 \): red
- \( x = 7 \): green
- \( x = 8 \): orange
- \( x = 9 \): yellow

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Final Answer

After solving all valid equations and assigning colors, the final answer is:

\[
\boxed{\text{See the solved equations and assigned colors above.}}
\]

You can now color the flower according to the solutions!