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Expression Expert
Simplify
100

Emma charges $12/lawn. Liam starts with $20 and charges $10/lawn. Who earned more after 10 lawns?

$120 each

100

Lily starts with $25 and saves $5/week. Ethan starts with $10 and saves $8/week. Who has more after 15 weeks?

Ethan — $130 vs. $100

100

Alex pays $7/movie. Jordan pays a $10 fee plus $5/movie. Who spends more after 9 movies?

Alex — $63 vs. $55

100

What is the expression for a dog walker who starts with $30 and earns $8 per walk?

8n+30

100

Simplify 5x+3x

8x

200

Sophia starts with $30 and earns $8/walk. Noah charges $10/walk. Who earned more after 12 walks?

Sophia — $126 vs. $120

200

Ava pays $25/month. Mason pays a $10 fee plus $20/month. Who paid more after 6 months?

Ava — $150 vs. $130

200

Liam (100 marbles + 5/day) vs. Chloe (50 marbles + 7/day). Who has more after 30 days?

Chloe — 260 vs. 250

200

What is the expression for a video game player who starts with 200 points and earns 50 points per level?

50n+200

200

Simplify 7y−4y+2

3y+2

300

Oliver charges $3/lemonade. Charlotte starts with $10 and charges $2. Who earns more after 25 lemonades?

Oliver — $75 vs. $60

300

These are the costs each students paid for song downloads. Sophia ($2/song), Ethan($20 + $1.50/song),and Olivia ($40 + $1/song) download 100 songs. Who spent the most?

Sophia — $200 vs. $170 and $140

300

James (200 pts + 50/level) vs. Emily (100 pts + 60/level). Who has more after 10 levels?

They are tied at 700 points

300

What is the expression for Internet Company C, which has a $200 setup fee and a $40 monthly charge?

40n+200

300

Simplify 4a+6b+2a−3b

6a+3b

400

Amy charges $25/room. Ben charges a $40 fee + $15/room. Who is cheaper for 5 rooms?

Ben — $115 vs. $125

400

Maria has $100 and saves $20/week. Jorge has $50 and saves $30/week. Who has more after 6 weeks?

Jorge — $230 vs. $220

400

Player A has 500 XP (50/level). Player B has 200 XP (100/level). Who has more after 7 levels?

Player B — 900 vs. 850

400

What is the expression for a ride-sharing app with a $10 base fee and a charge of $0.30 per mile?

0.3n+10

400

Simplify 8n2+5n−3n2+2n

5n+ 7n

500

Courier A charges $5/package. Courier B charges a $50 monthly fee + $2/package. Which costs more for 20 packages?

Courier A — $100 vs. $90

500

Plan A starts with $1000 and adds $100/mo. Plan B starts with $500 and adds $200/mo. When does Plan B catch up?

Month 5

500

Zoe has 40 stickers (5/day). Leo has 10 (8/day). On what day do they have the same amount?

Day 10 — both have 90

500

Here are the costs for video game memberships on different platforms.  What are the expressions for Alex ($30/mo), Jordan($15 fee + $25/mo),and Taylor($50 fee + $20/mo)?

30n, 25n+15, 20n+50

500

Simplify x+2y+3−4x+5y−1

−3x+7y+2

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