Question

directions: simplify each expression. circle the correct answer. using your answer and the problem number, color each section on the coloring page the appropriate color.

| expression | answers

1 | $5 \div 1 + 7$ | 8 green, 12 blue
2 | $18 \div (2 \times 3)$ | 3 yellow, 27 orange
3 | $(10 + 6) \div 4$ | 4 light green, 8 purple
4 | $4(3 + 5) - 2$ | 15 green, 30 pink
5 | $3 + 5 \times 5 - 7$ | 21 red, 33 yellow
6 | $(12 - 9) \times 15$ | 30 pink, 45 light blue
7 | $8 \div (23 - 19)$ | 4 blue, 2 yellow
8 | $(24 + 19) - 12 \div 4$ | 39 purple, 40 green
9 | $24 \div (2 \times 3)$ | 4 orange, 36 red
10 | $35 \div (12 - 5) - 3$ | 1 light green, 2 purple
11 | $54 \div 5 + (8 \div 2)$ | 9 yellow, 6 light blue
12 | $48 \div 2(2 \times 3)$ | 4 red, 144 orange

Explanation:

Problem 1: \( 5 \div 1 + 7 \)

Step 1: Perform division

\( 5 \div 1 = 5 \)

Step 2: Perform addition

\( 5 + 7 = 12 \) Wait, no, wait: \( 5 \div 1 = 5 \), then \( 5 + 7 = 12 \)? But the first answer option is 8 Green and 12 Blue. Wait, no, let's recalculate. Wait, \( 5 \div 1 = 5 \), then \( 5 + 7 = 12 \)? Wait, maybe I made a mistake. Wait, \( 5 \div 1 = 5 \), \( 5 + 7 = 12 \). So the answer is 12 Blue.

Problem 2: \( 18 \div (2 \times 3) \)

Step 1: Calculate inside the parentheses

\( 2 \times 3 = 6 \)

Step 2: Perform division

\( 18 \div 6 = 3 \) So the answer is 3 Yellow.

Problem 3: \( (10 + 6) \div 4 \)

Step 1: Calculate inside the parentheses

\( 10 + 6 = 16 \)

Step 2: Perform division

\( 16 \div 4 = 4 \) So the answer is 4 Light Green.

Problem 4: \( [4(3 + 5)] - 2 \)

Answer:

Step 1: Calculate inside the innermost parentheses

\( 2 \times 3 = 6 \)

Step 2: Perform multiplication inside the brackets

\( 2 \times 6 = 12 \)

Step 3: Perform division

\( 48 \div 12 = 4 \) So the answer is 4 Red.

Summary of Answers:

1. \( 5 \div 1 + 7 = 12 \) → 12 Blue
2. \( 18 \div (2 \times 3) = 3 \) → 3 Yellow
3. \( (10 + 6) \div 4 = 4 \) → 4 Light Green
4. \( [4(3 + 5)] - 2 = 30 \) → 30 Pink
5. \( 3 + 5 \times 5 - 7 = 21 \) → 21 Red
6. \( (12 - 9) \times 15 = 45 \) → 45 Light Blue
7. \( 8 \div (23 - 19) = 2 \) → 2 Yellow
8. \( (24 + 19) - 12 \div 4 = 40 \) → 40 Green
9. \( 24 \div (2 \times 3) = 4 \) → 4 Orange
10. \( 35 \div (12 - 5) - 3 = 2 \) → 2 Purple
11. \( 54 \div [5 + (8 \div 2)] = 6 \) → 6 Light Blue
12. \( 48 \div [2(2 \times 3)] = 4 \) → 4 Red