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Lesson 1: Evaluating Multi-Variable Expressions — Practice Questions

  1. 1. Evaluate the expression $4a - 2b + c$ when $a = 3$, $b = -5$, and $c = 2$. The value is ___.

  2. 2. What is the value of the expression $m n^2 - \frac{p}{m}$ for $m = 4$, $n = -3$, and $p = 16$?

    • A. 32
    • B. -40
    • C. 40
    • D. 20
  3. 3. Find the value of $x^2 + 5yz$ when $x = -4$, $y = 2$, and $z = \frac{1}{2}$. The result is ___.

  4. 4. When evaluating an expression with multiple variables, what is the correct first step?

    • A. Perform all multiplication and division operations.
    • B. Calculate any exponents or roots.
    • C. Substitute all given variable values at the same time.
    • D. Add and subtract all terms from left to right.
  5. 5. Evaluate the expression $2(x+y) - z^2$ for $x=5$, $y=-2$, and $z=-3$. The value is ___.

  6. 6. Evaluate the expression: $6 + 3(5) - 1 = \_\_\_$.

  7. 7. Evaluate the expression: $10 - 2(3) = \_\_\_$.

  8. 8. To overturn a governor's veto, $\frac{2}{3}$ of the assembly members present must vote for the bill. If 96 members are present, how many votes are needed to overturn the veto? ___

  9. 9. Evaluate the expression: $8(7) - 6(5) = \_\_\_$.

  10. 10. Evaluate the expression: $32 - 4 \times 5 = \_\_\_$.