Algebra 1 Unit 3 Study Day

Solve It!!!

100

x+9=17

x=8

200

4x-7=17

x=6

300

3(x-2)=15

x=7

400

DAILY DOUBLE!!! WORTH 2X POINTS!!!

5x+8=2x+20

x=4

500

4(x+3)-7=2x+15

x=5

Build the Model

100

A movie ticket costs $12.

Write an equation for the total cost of x tickets.

C=12x

200

A gym charges a $40 membership fee plus $18 per month.

Write an equation.

C=18m+40

300

A plumber charges a $65 service fee and $45 per hour.

Write an equation.

C=45h+65

400

A babysitter earns $20 per hour.

She already has $75 saved.

Write an equation representing her total savings.

S=20h+75

500

A rental company charges $150 plus $25 per day.

Define a variable and write an equation.

C=25d+150

Constraint Challenge

100

A theater can hold no more than 180 people.

Write an inequality.

p<=180

200

Each notebook costs $6.

You have $42.

Write an inequality.

6n<=42

300

You earn $15 per hour.

You want to earn at least $300.

Write an inequality.

15h>=300

400

Each pizza costs $14.

The class has $120.

How many pizzas can they buy?

14p<=120

p=8

500

DAILY DOUBLE!!! WORTH 2X POINTS!!!

A school dance has these constraints:

• Maximum 250 students
• Tickets are $8
• Goal is at least $1,600
• Write BOTH inequalities.

s<=250

8s>=1600

Error Detective

100

A student solved: x+6=12

Their answer was: x=18

What mistake did they make?

They added 6 instead of subtracting 6.

Correct answer:

x=6

200

A student solved 2x=14

They answered x=28

What is the mistake?

They multiplied instead of dividing.

Correct answer:

x=7

300

A student wrote

3(x+4)=3x+4

What mistake was made?

The distributive property was not applied correctly.

Correct answer:

3x+12

400

A student solved: 5x−10=25

They wrote: 5x=15

What mistake was made?

They subtracted 10 instead of adding 10.

Correct work:5x=35

x=7

500

A student solved: 2(x+6)=4x

They wrote: 2x+6=4x

Find the first mistake.

They forgot to distribute the 2 to both terms.

Correct: 2x+12=4x

Real-World Math

100

A taxi charges $4 plus $3 per mile.

Write an equation.

C=3m+4

200

Each fundraiser ticket earns $8.

The goal is to earn at least $400.

Write an inequality.

8t≥400

300

You have $75.

Movie tickets cost $12.

How many tickets can you buy?

12t≤75

Maximum:

t=6

400

A school bus holds 48 students.

There are 132 students attending.

How many buses are needed?

48b≥132 

b=3

500

A landscaper charges a $50 service fee plus $35 per hour.

The customer has a budget of $225.

1. Write an equation for the total cost.
2. Write an inequality representing the budget.
3. What is the greatest whole number of hours the landscaper can work?

Equation:

Equation: C=35h+50

Inequality: 35h+50≤225

Solve: h≤5