Writing and Identifying Equations from Situations

Graphing

BELL-RINGER QUESTION

Graph the linear equation of $$y=-\frac{3}{4}x+6$$

NOTE: Slope-Intercept Form

y=mx+b, where m is the slope (rate of change) and b is the y-intercept (starting point on y-axis)

Multiple Choice

INDEPENDENT PRACTICE

1. When seeing the following words or phrases in a problem we typically think of...

"varies (range), decrease by, minus, less, difference between/of, less than, fewer than, withdraw, discount"

• Addition

  Symbol: +

• Subtraction

  Symbol: -

• Multiplication

  Symbol: ×, *, or ( )

• Division

  Symbol: / or ÷

Multiple Choice

INDEPENDENT PRACTICE

2. When seeing the following words or phrases in a problem we typically think of...

"is, are, total of, was, were, will be, gives, yields, sold for"

• Equal

  Symbol: =

• Addition

  Symbol: +

• Multiplication

  Symbol: ×, *, or ( )

• Subtraction

  Symbol: -

Multiple Choice

PARTNER PRACTICE

3. Marilyn spent $125 for renting a bicycle while she was vacation. The rental consisted of a one-time payment of $50 and then $15 per day. Which equation can be used to find the number of days, d, she rented the bicycle?

HINT: Check where the variable of the situation should be.

• 125 = 50 + 15d

• 125 = 50d + 15

• 125 = 50 - 15d

• 125 = 50d - 15

Math Response

PARTNER PRACTICE

4. A water tank holds 18,000 gallons. How long will it take for the water level to reach 6,300 gallons if the water is used at an average rate of 450 gallons per day?

NOTE: Write the equation of the situation then solve.

Type answer here

Correct Answer: 26

Deg^°

Rad

Multiple Choice

PARTNER PRACTICE

5. A membership to 24 Hour-Fitness cost $35 per month with a $40 starting fee. A membership to Anytime Fitness cost $45 per month with a $25 starting fee. Which equation represents when and how much each membership will cost the same amount?

• 35x + 40 = 45x + 25

• 35x - 40 = 45x - 25

• 35 + 40x = 45 + 25x

• 35 - 40x = 45 - 25x

Math Response

PARTNER PRACTICE

6A. Sammy is deciding on two companies for internet for his new apartment.

•Boost Data has $100 setup fee and costs $65 per month.

•Wave-Internet has a $70 per month cost with a $30 setup fee.

Write the equation that represents when and how much will both provides cost the same?

Type answer here

Correct Answer: 100+65x=70x+30

Deg^°

Rad

Math Response

PARTNER PRACTICE

6B. Sammy is deciding on two companies for internet for his new apartment.

•Boost Data has $100 setup fee and costs $65 per month.

•Wave-Internet has a $70 per month cost with a $30 setup fee.

In how many months will both providers cost the same amount?

Type answer here

Correct Answer: 14

Deg^°

Rad

Math Response

PARTNER PRACTICE

6C. Sammy is deciding on two companies for internet for his new apartment.

•Boost Data has $100 setup fee and costs $65 per month.

•Wave-Internet has a $70 per month cost with a $30 setup fee.

What will be the total cost for internet services for both providers to be the same?

Type answer here

Correct Answer: 1010

Deg^°

Rad

Math Response

Exit Ticket - TEK 8.8B

Two new movie theaters are promoting their membership package

⋅ Marvelous Movies charges $4.50 for each drink and $8.00 for their bottomless popcorn bag.

⋅ Cinema Mania charges $2.50 for each drink and $14.00 for their bottomless popcorn bag.

What would be the total cost when

each movie theaters membership package deal is the same?

Type answer here

Correct Answer: 21.50

Deg^°

Rad