Lesson 1: Expressions — Practice Questions

1. 1. What is the coefficient of the term $8a$?

   • A. a
   • B. 8
   • C. 8a
   • D. 1

2. 2. A gym membership costs 25 dollars per month. If $C$ is the total cost and $m$ is the number of months, which quantity is a variable?

   • A. The cost per month (25 dollars)
   • B. The number of months, $m$
   • C. The number of days in a week
   • D. The number of letters in the alphabet

3. 3. In the formula for the perimeter of a regular hexagon, $P = 6s$, where $s$ is the side length, which part of the formula is a constant?

   • A. The perimeter, $P$
   • B. The side length, $s$
   • C. The number 6
   • D. Both $P$ and $s$

4. 4. A baker sells cupcakes for 3 dollars each and charges a 5 dollar fee for a custom box. In the expression $3c + 5$ for the total cost, the constant representing the fixed fee is ___.

5. 5. Let $t$ represent the number of text messages you send in a day. The number of hours in a day is 24. Which of these is a constant?

   • A. The number of text messages, $t$
   • B. The number 24
   • C. The number of phone calls you make
   • D. Both $t$ and 24

6. 6. Which of the following best describes a variable in an algebraic expression?

   • A. A number that is added or subtracted
   • B. A number whose value is always fixed
   • C. A letter used to represent a number whose value may change
   • D. The final answer to a problem

7. 7. Evaluate the expression $7x + 8$ when $x = 2$.

   • A. 22
   • B. 17
   • C. 30
   • D. 70

8. 8. Evaluate the expression $r^2 - s^2$ for the values $r = 12$ and $s = 5$. The result is ___.

9. 9. Evaluate the expression $3^x$ for $x = 3$.

   • A. 9
   • B. 18
   • C. 27
   • D. 81

10. 10. Evaluate the expression $x^5$ when $x = 2$. The value is ___.