Variables and expressions Knowledge-Based Download PDF

Questions

1. 1.

   For which value of the variable $x$ is the algebraic expression $\frac{2x + 1}{5x - 15}$ undefined?

   • A) $x = -3$
   • B) $x = -\frac{1}{2}$
   • C) $x = 3$
   • D) $x = 15$
2. 2.

   What is the difference when the algebraic expression $3x^2 - 5x + 4$ is subtracted from $7x^2 + 2x - 6$?

   • A) $4x^2 + 7x - 10$
   • B) $4x^2 - 3x - 2$
   • C) $-4x^2 - 7x + 10$
   • D) $10x^2 - 3x - 2$
3. 3.

   What is the degree of the algebraic expression $3x^4y^2 - 5x^3y^5 + 9xy^2 - 4$?

   • A) 5
   • B) 6
   • C) 7
   • D) 8
4. 4.

   What is the greatest common factor of the terms in the algebraic expression $12x^3y^2 - 18x^2y^3 + 24x^4y$?

   • A) $6xy$
   • B) $12x^2y^2$
   • C) $6x^3y$
   • D) $6x^2y$
5. 5.

   Which of the following pairs of algebraic expressions illustrates the associative property of addition?

   • A) $(x + 3) + 7$ and $x + (3 + 7)$
   • B) $x + 3$ and $3 + x$
   • C) $3(x + 7)$ and $3x + 21$
   • D) $(x + 3) + 0$ and $x + 3$
6. 6.

   In the algebraic expression $4x^3 - 7x^2 + 2x - 15$, which of the following correctly identifies the constant term and the coefficient of $x^2$?

   • A) The constant term is 15, and the coefficient of $x^2$ is 7.
   • B) The constant term is $-15$, and the coefficient of $x^2$ is 7.
   • C) The constant term is 15, and the coefficient of $x^2$ is $-7$.
   • D) The constant term is $-15$, and the coefficient of $x^2$ is $-7$.
7. 7.

   Which of the following pairs consists of like terms?

   • A) $5x^2y$ and $3xy^2$
   • B) $-4a^3b$ and $4ab^3$
   • C) $7x^2y^3$ and $-2y^3x^2$
   • D) $6m^2n$ and $6mn^2$
8. 8.

   Which expression is equivalent to $5(2a - b) - 3(a - 4b) - 4a$?

   • A) $3a - 17b$
   • B) $3a - 5b$
   • C) $3a + 7b$
   • D) $3a - 7b$
9. 9.

   Which algebraic expression represents the phrase "five less than the square of the sum of three times a number $x$ and four"?

   • A) $3(x + 4)^2 - 5$
   • B) $5 - (3x + 4)^2$
   • C) $(3x)^2 + 4 - 5$
   • D) $(3x + 4)^2 - 5$
10. 10.

    What is the value of the algebraic expression $4a - 2b^2 + 3(a + b)$ when $a = 5$ and $b = -2$?

    • A) 37
    • B) 21
    • C) 33
    • D) 13