PEMDAS Test Questions for Grade 7: Applying to Rational Numbers

📚 Quick Study Guide

• 🔑 PEMDAS: Stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
• 🔢 Rational Numbers: Numbers that can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$. Examples: $\frac{1}{2}$, $-0.75$, $3$.
• ➕ Adding/Subtracting Fractions: Find a common denominator before adding or subtracting.
• ➗ Dividing Fractions: Multiply by the reciprocal of the second fraction. Example: $\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$.
• ✖️ Multiplying Fractions: Multiply the numerators and the denominators. Example: $\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}$.
• 💡 Working with Decimals: Convert decimals to fractions (or vice versa) if needed.
• 🧮 Integer Rules: Remember integer rules for addition, subtraction, multiplication, and division with negative numbers.

Practice Quiz

1. What is the value of the expression: $2 + \frac{1}{2} \times 4 - 1$ ?
   1. 0
   2. 2
   3. 3
   4. 4
2. Evaluate: $5 - (\frac{1}{3} + \frac{2}{3}) \times 3$
   1. 2
   2. 3
   3. 4
   4. 5
3. Simplify: $(-2) \times (\frac{3}{4}) + 1$
   1. -0.5
   2. 0
   3. -1
   4. 1
4. Calculate: $1.5 + \frac{1}{4} \div 0.5$
   1. 1
   2. 2
   3. 1.75
   4. 2
5. What is the result of: $(-\frac{1}{2})^2 + \frac{3}{4}$?
   1. 0
   2. 0.5
   3. 1
   4. 1.25
6. Solve: $3 - 2 \times (\frac{1}{2} - 1)$?
   1. 2
   2. 3
   3. 4
   4. 5
7. Evaluate the expression: $4.2 - 2.2 + \frac{6}{3} \times 0.5$
   1. 1
   2. 2
   3. 3
   4. 4