To solve the problem, we need to evaluate each equation using the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Then, we will match the answers to the corresponding letters to solve the riddle.
Step-by-Step Solution:
1.
E: \( 25 - 10 \div 2 \)
- First, perform the division: \( 10 \div 2 = 5 \)
- Then, perform the subtraction: \( 25 - 5 = 20 \)
- Answer: \( 20 \)
2.
R: \( 10 \times 2 + 6 \)
- First, perform the multiplication: \( 10 \times 2 = 20 \)
- Then, perform the addition: \( 20 + 6 = 26 \)
- Answer: \( 26 \)
3.
P: \( 14 - 2 \times 3 + 2 \)
- First, perform the multiplication: \( 2 \times 3 = 6 \)
- Then, perform the subtraction and addition from left to right:
- \( 14 - 6 = 8 \)
- \( 8 + 2 = 10 \)
- Answer: \( 10 \)
4.
L: \( 7 \times 3 - 9 \times 2 \)
- First, perform the multiplications:
- \( 7 \times 3 = 21 \)
- \( 9 \times 2 = 18 \)
- Then, perform the subtraction: \( 21 - 18 = 3 \)
- Answer: \( 3 \)
5.
R: \( 24 \div 2 - 20 \div 4 \)
- First, perform the divisions:
- \( 24 \div 2 = 12 \)
- \( 20 \div 4 = 5 \)
- Then, perform the subtraction: \( 12 - 5 = 7 \)
- Answer: \( 7 \)
6.
R: \( 9 + 7 - 3 \times 5 \)
- First, perform the multiplication: \( 3 \times 5 = 15 \)
- Then, perform the addition and subtraction from left to right:
- \( 9 + 7 = 16 \)
- \( 16 - 15 = 1 \)
- Answer: \( 1 \)
7.
U: \( 20 \div 2 + 5 - 6 \)
- First, perform the division: \( 20 \div 2 = 10 \)
- Then, perform the addition and subtraction from left to right:
- \( 10 + 5 = 15 \)
- \( 15 - 6 = 9 \)
- Answer: \( 9 \)
8.
P: \( 6 + 6 + 6 \times 2 \)
- First, perform the multiplication: \( 6 \times 2 = 12 \)
- Then, perform the additions from left to right:
- \( 6 + 6 = 12 \)
- \( 12 + 12 = 24 \)
- Answer: \( 24 \)
Matching Answers to Letters:
- \( E = 20 \)
- \( R = 26 \)
- \( P = 10 \)
- \( L = 3 \)
- \( R = 7 \)
- \( R = 1 \)
- \( U = 9 \)
- \( P = 24 \)
Solving the Riddle:
The blank lines at the bottom of the page are filled with the letters corresponding to the answers:
- \( 10 \): P
- \( 9 \): U
- \( 26 \): R
- \( 1 \): R
- \( 7 \): R
- \( 24 \): P
- \( 3 \): L
- \( 20 \): E
So, the sequence is:
PURRRPLE
Final Answer:
\[
\boxed{\text{PURRRPLE}}
\]
Parent Tip: Review the logic above to help your child master the concept of basic algebra super teacher worksheet.
