Lesson 1: Algebraic Expressions — Practice Questions

1. 1. Simplify the expression by combining like terms: $5y + 3 - 2y - 1$. The simplified expression is ___.

2. 2. Using the concept of zero pairs from algebra tiles, simplify the expression $2x + 5 - 6x - 2$.

   • A. -4x + 3
   • B. 4x + 3
   • C. -4x + 7
   • D. 8x + 3

3. 3. Simplify the following expression by combining all like terms: $4a + 2b - a - 5b + 6$. The result is ___.

4. 4. When simplifying the expression $4m + 5 - 4m - 2$, the $4m$ and $-4m$ terms form zero pairs. What is the final simplified expression?

   • A. 3
   • B. 8m + 3
   • C. 7
   • D. 8m + 7

5. 5. Simplify the expression by combining like terms: $7 - 2x + 4x - 5$. The simplified result is ___.

6. 6. What are the terms in the algebraic expression $7y + 20$?

   • A. $7y$ and $20$
   • B. $7$ and $y$
   • C. $7$, $y$, and $20$
   • D. $7y + 20$

7. 7. How many terms are in the expression $5x - 3y + 8$? Enter the number in the blank: ___.

8. 8. Which of the following correctly lists the terms in the expression $15 - 4k$?

   • A. $15$ and $4k$
   • B. $15$ and $-4k$
   • C. $15$, $4$, and $k$
   • D. $4k$

9. 9. What is the constant term in the expression $2a + 9b - 14$? Enter the value in the blank: ___.

10. 10. In the expression $m - 6n + 1$, which of the following is considered a single term?

    • A. $m - 6n$
    • B. $-6n$
    • C. $6n + 1$
    • D. $m+1$