Testinar Grade 6 math

Variables in Real-World Problems

Students will build Grade 6 mastery of variables in real-world problems using models, equations, and test-style reasoning.

CH03-06 Expressions and Equations
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. Joel is \(y\) years old. His sister is \(4\) years older than Joel. Which expression represents the sister's age?

    1. \(y-4\)
    2. \(y+4\)
    3. \(4y\)
    4. \(\frac{y}{4}\)

  2. A book costs \(b\) dollars. A pencil costs \($2\) less than the book. Which expression shows the cost of the pencil in dollars?

    1. \(b+2\)
    2. \(2-b\)
    3. \(2b\)
    4. \(b-2\)

  3. Maria has \(m\) marbles. Her friend has \(3\) times as many marbles as Maria. Which expression represents how many marbles her friend has?

    1. \(m+3\)
    2. \(m-3\)
    3. \(3m\)
    4. \(\frac{m}{3}\)

  4. A restaurant sells \(t\) tacos per day. Which expression represents the total number of tacos sold in \(7\) days?

    1. \(t+7\)
    2. \(\frac{t}{7}\)
    3. \(t-7\)
    4. \(7t\)

  5. Sarah has \(s\) stickers. After giving \(8\) to her friend, she has \(s-8\) stickers left. What does the variable \(s\) represent?

    1. The number of stickers her friend has
    2. The number of stickers Sarah has left
    3. The total number of stickers Sarah had at first
    4. The number of stickers she gave away

  6. An orange costs \(o\) cents. A banana costs \(5\) cents more than an orange. If \(o=30\), what is the cost of a banana in cents?

    1. \(25\)
    2. \(30\)
    3. \(35\)
    4. \(150\)

  7. A store has \(p\) pairs of shoes. It receives a shipment of \(20\) more pairs. Which expression shows the total number of pairs after the shipment?

    1. \(p-20\)
    2. \(20p\)
    3. \(p+20\)
    4. \(\frac{p}{20}\)

  8. Luis has \($12\). His friend gives him \(d\) dollars. How much money does Luis have now?

    1. \(12-d\)
    2. \(12+d\)
    3. \(12d\)
    4. \(\frac{12}{d}\)
Teacher and parent reference

Answer key and explanations

  1. B. \(y+4\)

    "\(4\) years older" means add \(4\) to Joel's age: \(y+4\).

  2. D. \(b-2\)

    "\(2\) less than" means subtract \(2\) from the book's cost.

  3. C. \(3m\)

    "\(3\) times as many" means multiply \(m\) by \(3\).

  4. D. \(7t\)

    Multiply the number of tacos per day by \(7\) days: \(7t\).

  5. C. The total number of stickers Sarah had at first

    In the expression \(s-8\), \(s\) represents the starting amount before giving away any stickers.

  6. C. \(35\)

    Banana costs \(o+5=30+5=35\) cents.

  7. C. \(p+20\)

    Adding a shipment means add \(20\) to the starting number \(p\).

  8. B. \(12+d\)

    Receiving money means adding to what he already has: \(12+d\).

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