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Lesson 4: Evaluating Algebraic Expressions — Practice Questions

  1. 1. A coffee shop rewards program gives 15.5 points initially and 4.5 points for each drink, $d$. Evaluate $15.5 + 4.5d$ for 6 drinks to find the total points. The total is ___ points.

  2. 2. The cost in dollars to buy fabric is given by the expression $8.50y + 3.75$, where $y$ is the number of yards. What is the cost for 2.5 yards of fabric?

    • A. 25.00
    • B. 21.25
    • C. 28.13
    • D. 14.75
  3. 3. The kinetic energy of an object is found using $\frac{1}{2}mv^2$. If an object has mass $m=4$ and velocity $v=\frac{3}{4}$, its kinetic energy is ___ joules.

  4. 4. Evaluate the expression $p^2 - 3q \div r + 5$ for $p=4$, $q=6$, and $r=2$.

    • A. 12
    • B. 2
    • C. 4
    • D. 44
  5. 5. A recipe calls for $2x - \frac{1}{4}$ cups of sugar, where $x$ is a scaling factor. If the scaling factor is $x = \frac{5}{8}$, how many cups of sugar are needed? The answer is ___ cups.

  6. 6. A baker uses the expression $8c + \frac{1}{4}$ to find the total amount of sugar, in cups, needed for a recipe. If $c = \frac{3}{4}$, how many cups of sugar are needed? The answer is ___.

  7. 7. What is the value of the expression $5y - 4.2 \div 0.7$ when $y = 3.2$?

    • A. 10
    • B. 15.4
    • C. 22
    • D. 16
  8. 8. A streaming service charges a 5 dollar sign-up fee and 8 dollars per month. The total cost is represented by $5 + 8m$. What is the cost for 12 months? The total cost is ___ dollars.

  9. 9. Find the value of the expression $2a^2 + 3b - c$ when $a=4$, $b=7$, and $c=10$. The value is ___.

  10. 10. What is the value of the expression $10 - 3k$ when $k = 1\frac{2}{3}$?

    • A. 5
    • B. 7
    • C. 15
    • D. 25