Practice Set · Part 1
Write and Evaluate Algebraic Expressions
Pick up where we left off
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: Words like “each” or “per” mean multiply and attach to the variable; a one-time amount is a constant. Once the variable has a number, substitute it in and evaluate using the order of operations.
Model to copy — Watch me
- Tickets cost $12 each, plus a flat $50 venue fee. Let t be the number of tickets.
- "$12 each ticket" means 12 times t, which I write as 12t.
- The flat fee $50 is added once, so I add 50.
- I put them together: total revenue = 12t + 50.
Start here
You did these with your group. Now do them on your own — the model above is yours to copy.
- 1
Same stepsFinish what the group started. Use the model above, step for step.
Let's write one together: The field day committee orders one $4.25 item for each student, plus a one-time $23.50 shipping fee. The number of students is unknown. Let s stand for the number of students. “$4.25 for each student” means 4.25 times s, written 4.25s. The shipping fee does not depend on how many students there are, so it is a constant that is added once: 4.25s + 23.50. The expression 4.25s + 23.50 has two terms: 4.25s, whose coefficient is 4.25, and the constant 23.50.My first step is ___ , because the problem asks for ___ .
Show your work - 2
Warm restartIn the expression 4 + 6 ÷ 2, which operation do you do first?
- ADivide 6 by 2
- BAdd 4 and 6
- CEither order gives the same answer
- DSubtract
- 3
Warm restartA square room has sides of 7 feet. Which expression gives its area, and what is the value?
- A7² = 49
- B7 × 2 = 14
- C2⁷ = 128
- D7 + 7 = 14
- 4
Warm restartEvaluate: 5 + 3 × 2²
- A17
- B32
- C64
- D26
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.
- 5
Think it throughWhich expression models the total cost for h hours?
- A25 + 8h
- B8 + 25h
- C25h + 8h
- D33h
Why is that the answer?
I chose ___ because ___ .
- 6
Think it throughWhat is the total cost for 6 hours?
- A$73
- B$198
- C$48
- D$33
How do you know?
I chose ___ because ___ .
- 7
Think it throughIn 25 + 8h, what is the coefficient?
- A8
- B25
- Ch
- D25h
Explain your thinking.
I chose ___ because ___ .
- 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 ___.
Practice Set · Part 3
Write and Evaluate Algebraic Expressions
Words and reasoning
Word bank · Banco de palabras
Use the words
Fill each blank with a word from the bank.
- Turn the words into numbers, operations and a ___.
- A letter that stands for an unknown number is a ___.
- A math phrase with variables, numbers, and operations but no equal sign is an ___.
- The number multiplied by a variable, like the 7 in 7n, is the ___.
Explain the thinking
- 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. - 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 ___.
- 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
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.
- 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.
- A4.25s + 23.50; for s = 30 the cost is $151.00
- B4.25s + 23.50; for s = 30 the cost is $832.50
- C4.25 + 23.50s; for s = 30 the cost is $709.25
- D27.75s; for s = 30 the cost is $832.50
Explain your choice.
I know it is ___ because ___ .
- 13
From Lesson 6.4Quick check — you've got this: Evaluate 2 × 15 + 8 × 2³.
- A94
- B124
- C736
- D150
- 14
From Lesson 6.4What does the 1.75 represent?
- AThe cost per mile, multiplied by the number of miles
- BThe base fee
- CThe total cost
- DThe number of miles
Be honest — this tells your teacher what to do next
| I can… | Not yet | Getting there | Got 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: Words like “each” or “per” mean multiply and attach to the variable; a one-time amount is a constant… | |||
| 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