Free 5th Grade Math Worksheets—Printable w/ Answers — Mashup Math - Free Printable

The image shows four different 5th-grade math worksheets. Below, I will explain how to solve the problems presented in each worksheet.

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1. Finding Perimeter and Area of Irregular Rectangles

#### Worksheet Details:
- The task is to find the perimeter (P) and area (A) of irregular rectangles.
- Formulas:
- Perimeter (P): \( P = 2 \times (\text{length} + \text{width}) \)
- Area (A): \( A = \text{length} \times \text{width} \)

#### Example Problem:
For a rectangle with dimensions:
- Length = 20 units
- Width = 9 units

#### Solution:
1. Perimeter (P):
\[
P = 2 \times (20 + 9) = 2 \times 29 = 58 \text{ units}
\]

2. Area (A):
\[
A = 20 \times 9 = 180 \text{ square units}
\]

#### General Steps:
- Identify the length and width of each rectangle.
- Use the formulas for perimeter and area.
- Fill in the values accordingly.

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2. Writing Exponents

#### Worksheet Details:
- The task is to rewrite numbers using exponents or expand exponential expressions.
- Example: \( 2^3 = 2 \times 2 \times 2 = 8 \)

#### Example Problem:
Rewrite \( 4^2 \).

#### Solution:
1. Expand the exponent:
\[
4^2 = 4 \times 4
\]

2. Calculate the result:
\[
4 \times 4 = 16
\]

#### General Steps:
- For rewriting exponents as expanded form, write the base multiplied by itself the number of times indicated by the exponent.
- For expanding exponential expressions, calculate the product.

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3. Analyzing Double Line Graphs

#### Worksheet Details:
- The task is to analyze a double line graph showing "Daily Number of Views" for two videos over several days.
- Questions involve identifying trends, comparing data, and interpreting the graph.

#### Example Problem:
1. What day did Video #1 have the most views?
2. What was the total number of views for both videos combined on Day 2?

#### Solution:
1. Day with the most views for Video #1:
- Look at the red line (Video #1) on the graph.
- The highest point on the red line corresponds to Day 7.

2. Total views for both videos on Day 2:
- Find the values for both videos on Day 2:
- Video #1 (red line): Approximately 500 views
- Video #2 (green line): Approximately 300 views
- Add the values:
\[
500 + 300 = 800 \text{ views}
\]

#### General Steps:
- Read the graph carefully to identify key points.
- Compare the lines to answer questions about trends and totals.
- Use the scale on the axes to estimate values accurately.

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4. Adding and Subtracting Integers Using Number Lines

#### Worksheet Details:
- The task is to solve integer addition and subtraction problems using number lines.
- Example: \( -2 + 6 = 4 \)

#### Example Problem:
Solve \( -1 + 7 \).

#### Solution:
1. Start at -1 on the number line.
2. Move 7 units to the right (since you are adding 7):
- Starting at -1, moving 7 units to the right lands on 6.

3. Result:
\[
-1 + 7 = 6
\]

#### General Steps:
- Draw a number line.
- Start at the first number in the problem.
- Move right for addition or left for subtraction based on the second number.
- The final position on the number line is the answer.

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Final Answer Summary:

1. Finding Perimeter and Area: Use the formulas \( P = 2 \times (\text{length} + \text{width}) \) and \( A = \text{length} \times \text{width} \).
2. Writing Exponents: Expand the base multiplied by itself the number of times indicated by the exponent.
3. Analyzing Double Line Graphs: Read the graph to identify trends, compare data, and calculate totals.
4. Adding and Subtracting Integers: Use a number line to visualize the operations and determine the result.

\[
\boxed{\text{See detailed solutions above for each worksheet.}}
\]