6.AT.6a Group 1 · Extra Support

Practice Set · Part 1

Write and Evaluate Algebraic Expressions

Pick up where we left off

Name: Date: Group:

Where we left off

Our goal: With my small group, I can write an algebraic expression for a real situation and evaluate it for a given value of the variable — one step at a time, with support.

The big idea: Use a letter for the unknown amount and turn the words into operations. To evaluate, substitute a number for the letter and use the order of operations.

Model to copy — Example 1 · Write an expression

  1. Tickets cost $12 each. There is also a $50 venue fee, paid one time. Let t be the number of tickets. Write an expression for the total cost.
  2. Choose a letter for the unknown number: t = number of tickets
  3. Write the cost of the tickets: 12 × t → 12t
  4. Add the fee one time: 12t + 50
  5. The total cost is 12t + 50 dollars.
  6. The total cost for t tickets is 12t + 50 dollars. Find the total cost for 25 tickets.
  7. Replace t with 25: 12 × 25 + 50
  8. Multiply first: 12 × 25 = 300
  9. Add the fee: 300 + 50 = 350
  10. For 25 tickets, the total cost is $350.

Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

  1. 1

    Same stepsFinish what the group started. Use the model above, step for step.

    Let's do one together: The field day committee buys one $4.25 item for each student. Shipping costs $23.50, paid one time. Write an expression for the total cost. Then find the cost for 30 students. Choose a letter for the number of students. (s = the number of students) Write the cost of the items. (4.25s) Add the shipping fee. What is the expression? (4.25s + 23.50) Substitute s = 30. What is the total cost? (4.25 × 30 + 23.50 = 127.50 + 23.50 = 151)

    My first step is ___ , because the problem asks for ___ .

    Show your work
  2. 2

    Warm restartIn the expression 4 + 6 ÷ 2, which operation do you do first?

    1. AAdd 4 and 6
    2. BDivide 6 by 2
    3. CEither order gives the same answer
    4. DSubtract
  3. 3

    Warm restartA square room has sides of 7 feet. Which expression gives its area, and what is the value?

    1. A2⁷ = 128
    2. B7² = 49
    3. C7 × 2 = 14
    4. D7 + 7 = 14
  4. 4

    Warm restartEvaluate: 5 + 3 × 2²

    1. A17
    2. B26
    3. C32
    4. D64
6.5 Small Group · Group 1 · Practice SetPart 1 of 4
6.AT.6a Group 1 · Extra Support

Practice Set · Part 2

Write and Evaluate Algebraic Expressions

Keep going

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

  1. 5

    Think it throughWhich expression models the total cost for h hours?

    1. A8 + 25h
    2. B25 + 8h
    3. C25h + 8h
    4. D33h

    Why is that the answer?

    I chose ___ because ___ .

  2. 6

    Think it throughWhat is the total cost for 6 hours?

    1. A$33
    2. B$48
    3. C$73
    4. D$198

    How do you know?

    I chose ___ because ___ .

  3. 7

    Think it throughIn 25 + 8h, what is the coefficient?

    1. A25
    2. B8
    3. Ch
    4. D25h

    Explain your thinking.

    I chose ___ because ___ .

  4. 8

    Back to the modelWhat key words helped you decide which operation to use? How can the same phrase be written differently?

    The phrase '___ ' tells me to use ___ because the key word ___ means ___.

6.5 Small Group · Group 1 · Practice SetPart 2 of 4
6.AT.6a Group 1 · Extra Support

Practice Set · Part 3

Write and Evaluate Algebraic Expressions

Words and reasoning

Word bank · Banco de palabras

Variable (Variable)Algebraic Expression (Expresión algebraica)Coefficient (Coeficiente)Constant (Constante)Like terms (Términos semejantes)Substitute (Sustituir)Evaluate (Evaluar)

Use the words

Fill each blank with a word from the bank.

Explain the thinking

  1. 9

    Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.

    The mistake: A common mistake in Write Algebraic Expressions is treating 'each' or 'per' as if it means add instead of multiply, and attaching the variable to the wrong number.
  2. 10

    Say moreHow do you turn words into an expression? Why does '12 less than a number g' become g − 12 and not 12 − g?

    The words '___' mean ___, so the expression is ___.

  3. 11

    Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.

    If ___ changed to ___ , then ___ .

    Show your work
6.5 Small Group · Group 1 · Practice SetPart 3 of 4
6.AT.6a Group 1 · Extra Support

Practice Set · Part 4

Write and Evaluate Algebraic Expressions

Show what you know

Last check

These two come from Lesson 6.4. If they are shaky, that is the lesson to revisit — not this one.

  1. 12

    Show what you knowQuick check — you've got this: A club orders one $4.25 shirt for each student plus a one-time $23.50 shipping fee. Write the expression for s students, then find the cost for 30 students.

    1. A4.25s + 23.50; for s = 30 the cost is $151.00
    2. B4.25s + 23.50; for s = 30 the cost is $832.50
    3. C4.25 + 23.50s; for s = 30 the cost is $709.25
    4. D27.75s; for s = 30 the cost is $832.50

    Explain your choice.

    I know it is ___ because ___ .

  2. 13

    From Lesson 6.4Quick check — you've got this: Evaluate 2 × 15 + 8 × 2³.

    1. A94
    2. B124
    3. C150
    4. D736
  3. 14

    From Lesson 6.4What does the 1.75 represent?

    1. AThe base fee
    2. BThe total cost
    3. CThe number of miles
    4. DThe cost per mile, multiplied by the number of miles

Be honest — this tells your teacher what to do next

I can…Not yetGetting thereGot it
I can write an algebraic expression for a real situation and evaluate it for a given value of the variable — one step at a time, with support.
I can explain why it works: Use a letter for the unknown amount and turn the words into operations. To evaluate…
I can talk through each step out loud using a sentence frame and the lesson's key words.

One question I want to ask my group next time