Lesson 63: Symbols of Inclusion — Practice Questions

1. 1. Calculate the value of the expression: $70 - [30 + (12 - 4)] = \_\_\_$.

2. 2. What is the value of the expression $25 - [50 - (15 - 5)]$?

   • A. 15
   • B. -15
   • C. 35
   • D. -5

3. 3. Simplify the expression to find the value: $90 - 2[4(7 - 4)] = \_\_\_$.

4. 4. To evaluate $100 - \{50 - [20 + (10 - 3)]\}$, what is the very first calculation you should perform?

   • A. $100 - 50$
   • B. $20 + 10$
   • C. $10 - 3$
   • D. $50 - 20$

5. 5. What is the value of the expression $40 + [60 - (25 - 10)] = \_\_\_ $?

6. 6. Simplify the expression by evaluating the numerator and denominator separately before dividing: $$\frac{5 + 3 \times 5}{8 - 3} = \_\_\_$$

7. 7. Evaluate the expression: $$\frac{8 + 4 \times 5 - 3}{15 - (4 + 6)}$$

   • A. 4
   • B. 5
   • C. 6
   • D. 25

8. 8. Evaluate the expression and write the answer as a simplified fraction: $$\frac{4 \times 4 + 2}{5 \times 3 - 3} = \_\_\_$$

9. 9. When simplifying a fractional expression, the division bar acts as a grouping symbol. What is the correct first step?

   • A. Divide the first term of the numerator by the first term of the denominator.
   • B. Simplify the entire expression in the numerator and the entire expression in the denominator separately.
   • C. Cancel out any common numbers that appear in both the numerator and denominator.
   • D. Perform all additions before performing any multiplications.

10. 10. Evaluate the following expression and simplify if necessary: $$\frac{40 - 2 \times (10 - 5)}{2 \times 8 + 4}$$

    • A. $\frac{3}{2}$
    • B. $\frac{5}{4}$
    • C. 1
    • D. 2