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Solve algebraic expressions to reveal the hidden picture by connecting answer squares.

A hidden picture puzzle worksheet with a grid of numbered squares and algebraic expressions to solve.

A hidden picture puzzle worksheet with a grid of numbered squares and algebraic expressions to solve.

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Show Answer Key & Explanations Step-by-step solution for: Hidden Picture Algebra - Evaluate Expressions - Math Fun! by ...

Problem Description:


The task involves evaluating mathematical expressions and identifying the squares on a grid that correspond to the answers. The goal is to connect these squares to form columns and rows, and then color them.

Given Expressions:


1. \( 4p - 3 \); \( p = 6 \)
2. \( x + 1 \); \( x = 63 \)
3. \( 5 \times y \); \( y = 22 \)
4. \( 12 \times (8) \div 19 \)

Step-by-Step Solution:



#### Expression 1: \( 4p - 3 \); \( p = 6 \)
- Substitute \( p = 6 \) into the expression:
\[
4p - 3 = 4(6) - 3 = 24 - 3 = 21
\]
- The answer is 21.

#### Expression 2: \( x + 1 \); \( x = 63 \)
- Substitute \( x = 63 \) into the expression:
\[
x + 1 = 63 + 1 = 64
\]
- The answer is 64.

#### Expression 3: \( 5 \times y \); \( y = 22 \)
- Substitute \( y = 22 \) into the expression:
\[
5 \times y = 5 \times 22 = 110
\]
- The answer is 110.

#### Expression 4: \( 12 \times (8) \div 19 \)
- Perform the operations step-by-step:
\[
12 \times 8 = 96
\]
\[
96 \div 19 = 5.0526 \quad (\text{approximately})
\]
- Since the grid only contains whole numbers, we round to the nearest whole number:
\[
\text{Rounded value} = 5
\]
- The answer is 5.

Identifying Squares on the Grid:


The answers to the expressions are:
1. 21
2. 64
3. 110
4. 5

Now, locate these numbers on the grid:
- 21: Row 3, Column 1 (Position 21)
- 64: Row 7, Column 4 (Position 64)
- 110: Not present on the grid (since the grid only goes up to 100). This might be an error or an indication to ignore this value.
- 5: Row 1, Column 5 (Position 5)

Connecting the Squares:


Connect the squares corresponding to the valid answers (21, 64, and 5) to form columns and rows. Color these squares the same color.

Final Answer:


\[
\boxed{21, 64, 5}
\]

These are the squares to connect and color. If there are further instructions for coloring or forming specific patterns, they should be followed accordingly.
Parent Tip: Review the logic above to help your child master the concept of fun algebra worksheet.
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