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Lesson 16: Simplifying and Evaluating Variable Expressions — Practice Questions

  1. 1. Evaluate the expression $4x + 3y - 5$ for $x = 2$ and $y = 7$. The value of the expression is ___.

  2. 2. What is the value of the expression $10m - 3n + 6$ when $m = 5$ and $n = 4$?

    • A. 44
    • B. 32
    • C. 68
    • D. 20
  3. 3. Evaluate the expression $7p - 2p + 5$ given that $p = 6$. The result is ___.

  4. 4. When evaluating the expression $8x + y - 9$ for given values of $x$ and $y$, what is the correct first step?

    • A. Replace each variable with its given numerical value.
    • B. Add 8 to the value of x.
    • C. Subtract 9 from the value of y.
    • D. Perform all addition and subtraction from left to right.
  5. 5. Find the value of the expression $2a + 3b - c$ when $a = 8$, $b = 3$, and $c = 10$. The value is ___.

  6. 6. Evaluate the expression $-5a^2$ when $a = -3$. The value is ___.

  7. 7. Which expression has a greater value when $c=2$ and $d=5$?

    • A. $(cd)^2$
    • B. $cd^2$
    • C. The expressions are equal
    • D. It cannot be determined
  8. 8. Evaluate the expression $3(1 + \frac{n}{p})^2$ for $n=10$ and $p=-2$. The result is ___.

  9. 9. Evaluate the expression $-p^3q$ for $p=-2$ and $q=5$.

    • A. 40
    • B. -40
    • C. 30
    • D. -30
  10. 10. Evaluate $|x^2 - y^3|$ for $x=-4$ and $y=-3$. The value is ___.