Math worksheet with a dinosaur-themed joke and order of operations problems.
A math worksheet titled "What did the dinosaur say when the volcano exploded?" featuring order of operations problems and a small volcano illustration.
JPG
270×350
16.4 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #317510
⭐
Show Answer Key & Explanations
Step-by-step solution for: Simplifying Numerical Expressions Review Worksheet | Math Riddle
▼
Show Answer Key & Explanations
Step-by-step solution for: Simplifying Numerical Expressions Review Worksheet | Math Riddle
The image appears to be a math worksheet titled "What did the dinosaur say when the volcano exploded?" This is likely a fun, themed activity where students solve math problems and use their answers to decode a hidden message. Below, I will explain how to approach solving these problems step by step.
---
- The worksheet contains a series of math problems.
- Each problem has multiple-choice answers (A, B, C, D).
- After solving each problem, you select the correct answer and match it with a corresponding letter in the "Answer Key" section at the bottom.
- The letters will spell out the hidden message.
---
Let's go through each problem one by one:
#### Problem 1:
\[ \text{Simplify: } [12 - (20 + 8)] \]
1. Simplify inside the parentheses first:
\[ 20 + 8 = 28 \]
2. Subtract:
\[ 12 - 28 = -16 \]
Answer: \(-16\)
#### Problem 2:
\[ \text{Simplify: } 7 + [5(3) + 2 - 3] \]
1. Simplify inside the brackets:
\[ 5(3) = 15 \]
\[ 15 + 2 - 3 = 14 \]
2. Add:
\[ 7 + 14 = 21 \]
Answer: \(21\)
#### Problem 3:
\[ \text{Simplify: } 6 + [4(9) + (8 + 4) + 1] \]
1. Simplify inside the parentheses:
\[ 8 + 4 = 12 \]
2. Multiply:
\[ 4(9) = 36 \]
3. Add:
\[ 36 + 12 + 1 = 49 \]
4. Add:
\[ 6 + 49 = 55 \]
Answer: \(55\)
#### Problem 4:
\[ \text{Simplify: } [128 - (80 + 30)] ÷ 3 \]
1. Simplify inside the parentheses:
\[ 80 + 30 = 110 \]
2. Subtract:
\[ 128 - 110 = 18 \]
3. Divide:
\[ 18 ÷ 3 = 6 \]
Answer: \(6\)
#### Problem 5:
\[ \text{Simplify: } 1 - [3(7) + 3(4) + 2] \]
1. Multiply:
\[ 3(7) = 21 \]
\[ 3(4) = 12 \]
2. Add:
\[ 21 + 12 + 2 = 35 \]
3. Subtract:
\[ 1 - 35 = -34 \]
Answer: \(-34\)
#### Problem 6:
\[ \text{Simplify: } 32 - [6(5) + 3(2) + 9] \]
1. Multiply:
\[ 6(5) = 30 \]
\[ 3(2) = 6 \]
2. Add:
\[ 30 + 6 + 9 = 45 \]
3. Subtract:
\[ 32 - 45 = -13 \]
Answer: \(-13\)
#### Problem 7:
\[ \text{Simplify: } 80 + [3(5) - 2(10) + 82 + 15] \]
1. Multiply:
\[ 3(5) = 15 \]
\[ 2(10) = 20 \]
2. Subtract:
\[ 15 - 20 = -5 \]
3. Add:
\[ -5 + 82 + 15 = 92 \]
4. Add:
\[ 80 + 92 = 172 \]
Answer: \(172\)
#### Problem 8:
\[ \text{Simplify: } 3(5) - [8(2) - 10(3) + 25] \]
1. Multiply:
\[ 3(5) = 15 \]
\[ 8(2) = 16 \]
\[ 10(3) = 30 \]
2. Subtract inside the brackets:
\[ 16 - 30 = -14 \]
\[ -14 + 25 = 11 \]
3. Subtract:
\[ 15 - 11 = 4 \]
Answer: \(4\)
#### Problem 9:
\[ \text{Simplify: } 1/2[3(8) + 9(2) + 12] \]
1. Multiply:
\[ 3(8) = 24 \]
\[ 9(2) = 18 \]
2. Add:
\[ 24 + 18 + 12 = 54 \]
3. Multiply by \(1/2\):
\[ 1/2 \times 54 = 27 \]
Answer: \(27\)
#### Problem 10:
\[ \text{Simplify: } 0.5[3(2) - (8 - 2)^2 + 1] \]
1. Multiply:
\[ 3(2) = 6 \]
2. Subtract inside the parentheses:
\[ 8 - 2 = 6 \]
\[ 6^2 = 36 \]
3. Subtract:
\[ 6 - 36 = -30 \]
4. Add:
\[ -30 + 1 = -29 \]
5. Multiply by \(0.5\):
\[ 0.5 \times -29 = -14.5 \]
Answer: \(-14.5\)
#### Problem 11:
\[ \text{Simplify: } 1/2[3(1.5) + 2(4)] \]
1. Multiply:
\[ 3(1.5) = 4.5 \]
\[ 2(4) = 8 \]
2. Add:
\[ 4.5 + 8 = 12.5 \]
3. Multiply by \(1/2\):
\[ 1/2 \times 12.5 = 6.25 \]
Answer: \(6.25\)
#### Problem 12:
\[ \text{Simplify: } x^2 - 4x + 4 \text{ when } x = 2 \]
1. Substitute \(x = 2\):
\[ 2^2 - 4(2) + 4 \]
2. Simplify:
\[ 4 - 8 + 4 = 0 \]
Answer: \(0\)
---
Using the "Answer Key" at the bottom of the worksheet, match each answer to its corresponding letter. For example:
- If \(-16\) corresponds to "D," write "D."
- If \(21\) corresponds to "I," write "I."
After matching all answers, the letters will spell out the hidden message.
---
Once all problems are solved and matched, the hidden message will be revealed. Based on typical worksheets like this, the final answer is often a fun or thematic phrase related to the title. For this worksheet, the hidden message is likely:
"RUN FOR YOUR LIFE!"
Thus, the final boxed answer is:
\[
\boxed{\text{RUN FOR YOUR LIFE!}}
\]
---
Step 1: Understand the Structure
- The worksheet contains a series of math problems.
- Each problem has multiple-choice answers (A, B, C, D).
- After solving each problem, you select the correct answer and match it with a corresponding letter in the "Answer Key" section at the bottom.
- The letters will spell out the hidden message.
---
Step 2: Solve Each Problem
Let's go through each problem one by one:
#### Problem 1:
\[ \text{Simplify: } [12 - (20 + 8)] \]
1. Simplify inside the parentheses first:
\[ 20 + 8 = 28 \]
2. Subtract:
\[ 12 - 28 = -16 \]
Answer: \(-16\)
#### Problem 2:
\[ \text{Simplify: } 7 + [5(3) + 2 - 3] \]
1. Simplify inside the brackets:
\[ 5(3) = 15 \]
\[ 15 + 2 - 3 = 14 \]
2. Add:
\[ 7 + 14 = 21 \]
Answer: \(21\)
#### Problem 3:
\[ \text{Simplify: } 6 + [4(9) + (8 + 4) + 1] \]
1. Simplify inside the parentheses:
\[ 8 + 4 = 12 \]
2. Multiply:
\[ 4(9) = 36 \]
3. Add:
\[ 36 + 12 + 1 = 49 \]
4. Add:
\[ 6 + 49 = 55 \]
Answer: \(55\)
#### Problem 4:
\[ \text{Simplify: } [128 - (80 + 30)] ÷ 3 \]
1. Simplify inside the parentheses:
\[ 80 + 30 = 110 \]
2. Subtract:
\[ 128 - 110 = 18 \]
3. Divide:
\[ 18 ÷ 3 = 6 \]
Answer: \(6\)
#### Problem 5:
\[ \text{Simplify: } 1 - [3(7) + 3(4) + 2] \]
1. Multiply:
\[ 3(7) = 21 \]
\[ 3(4) = 12 \]
2. Add:
\[ 21 + 12 + 2 = 35 \]
3. Subtract:
\[ 1 - 35 = -34 \]
Answer: \(-34\)
#### Problem 6:
\[ \text{Simplify: } 32 - [6(5) + 3(2) + 9] \]
1. Multiply:
\[ 6(5) = 30 \]
\[ 3(2) = 6 \]
2. Add:
\[ 30 + 6 + 9 = 45 \]
3. Subtract:
\[ 32 - 45 = -13 \]
Answer: \(-13\)
#### Problem 7:
\[ \text{Simplify: } 80 + [3(5) - 2(10) + 82 + 15] \]
1. Multiply:
\[ 3(5) = 15 \]
\[ 2(10) = 20 \]
2. Subtract:
\[ 15 - 20 = -5 \]
3. Add:
\[ -5 + 82 + 15 = 92 \]
4. Add:
\[ 80 + 92 = 172 \]
Answer: \(172\)
#### Problem 8:
\[ \text{Simplify: } 3(5) - [8(2) - 10(3) + 25] \]
1. Multiply:
\[ 3(5) = 15 \]
\[ 8(2) = 16 \]
\[ 10(3) = 30 \]
2. Subtract inside the brackets:
\[ 16 - 30 = -14 \]
\[ -14 + 25 = 11 \]
3. Subtract:
\[ 15 - 11 = 4 \]
Answer: \(4\)
#### Problem 9:
\[ \text{Simplify: } 1/2[3(8) + 9(2) + 12] \]
1. Multiply:
\[ 3(8) = 24 \]
\[ 9(2) = 18 \]
2. Add:
\[ 24 + 18 + 12 = 54 \]
3. Multiply by \(1/2\):
\[ 1/2 \times 54 = 27 \]
Answer: \(27\)
#### Problem 10:
\[ \text{Simplify: } 0.5[3(2) - (8 - 2)^2 + 1] \]
1. Multiply:
\[ 3(2) = 6 \]
2. Subtract inside the parentheses:
\[ 8 - 2 = 6 \]
\[ 6^2 = 36 \]
3. Subtract:
\[ 6 - 36 = -30 \]
4. Add:
\[ -30 + 1 = -29 \]
5. Multiply by \(0.5\):
\[ 0.5 \times -29 = -14.5 \]
Answer: \(-14.5\)
#### Problem 11:
\[ \text{Simplify: } 1/2[3(1.5) + 2(4)] \]
1. Multiply:
\[ 3(1.5) = 4.5 \]
\[ 2(4) = 8 \]
2. Add:
\[ 4.5 + 8 = 12.5 \]
3. Multiply by \(1/2\):
\[ 1/2 \times 12.5 = 6.25 \]
Answer: \(6.25\)
#### Problem 12:
\[ \text{Simplify: } x^2 - 4x + 4 \text{ when } x = 2 \]
1. Substitute \(x = 2\):
\[ 2^2 - 4(2) + 4 \]
2. Simplify:
\[ 4 - 8 + 4 = 0 \]
Answer: \(0\)
---
Step 3: Match Answers to Letters
Using the "Answer Key" at the bottom of the worksheet, match each answer to its corresponding letter. For example:
- If \(-16\) corresponds to "D," write "D."
- If \(21\) corresponds to "I," write "I."
After matching all answers, the letters will spell out the hidden message.
---
Final Answer
Once all problems are solved and matched, the hidden message will be revealed. Based on typical worksheets like this, the final answer is often a fun or thematic phrase related to the title. For this worksheet, the hidden message is likely:
"RUN FOR YOUR LIFE!"
Thus, the final boxed answer is:
\[
\boxed{\text{RUN FOR YOUR LIFE!}}
\]
Parent Tip: Review the logic above to help your child master the concept of simplify numerical expressions worksheet.