Let's solve each problem step by step and write the algebraic expressions as requested.
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Problem 1:
Alan is 8 years old. How old will he be in \( x \) years' time? Give the answer in terms of \( x \).
- Alan's current age is 8 years.
- In \( x \) years, his age will increase by \( x \).
- Therefore, his age in \( x \) years will be:
\[
8 + x
\]
Answer: \( 8 + x \)
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Problem 2:
Jim has \$2 more than Tom. If Jim has \$\( m \), how much money does Tom have? Give the answer in terms of \( m \).
- Let Tom's amount of money be \( T \).
- According to the problem, Jim has \$2 more than Tom. This can be written as:
\[
m = T + 2
\]
- To find Tom's money (\( T \)), we solve for \( T \):
\[
T = m - 2
\]
Answer: \( m - 2 \)
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Problem 3:
There are 3 boxes of donuts. Each box contains \( p \) donuts. How many donuts are there? Give the answer in terms of \( p \).
- There are 3 boxes.
- Each box contains \( p \) donuts.
- The total number of donuts is the product of the number of boxes and the number of donuts per box:
\[
3 \times p = 3p
\]
Answer: \( 3p \)
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Problem 4:
A rectangle measures \( k \) cm by 8 cm. What is the area of the rectangle? Give the answer in terms of \( k \).
- The formula for the area of a rectangle is:
\[
\text{Area} = \text{length} \times \text{width}
\]
- Here, the length is \( k \) cm and the width is 8 cm.
- Therefore, the area is:
\[
k \times 8 = 8k
\]
Answer: \( 8k \)
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Final Answers:
1. \( 8 + x \)
2. \( m - 2 \)
3. \( 3p \)
4. \( 8k \)
\[
\boxed{8 + x, m - 2, 3p, 8k}
\]
Parent Tip: Review the logic above to help your child master the concept of algebraic expression worksheet with answers.
