Solving Linear Equations in Word Problems

This video tutorial covers lesson 12 on word problems, focusing on different forms of linear equations: slope-intercept, standard form, point-slope, and two-point form. It provides examples and solutions for each type, helping students understand how to apply these concepts to real-world scenarios. The video encourages students to pause and solve problems independently, reinforcing learning through practice.

If Evan's parents gave him $20, and the admission to the fair is $5 with each ride costing $0.50, how many rides can he go on?

• 30 rides

• 20 rides

• 35 rides

• 25 rides

Sally rented a kayak for 3 hours at $8.50 per hour with a $25 deposit. What was the total cost?

• $50.50

• $51.00

• $52.50

• $53.00

If Sam ordered 2 hamburgers at $3.25 each and 3 hot dogs, and his total bill was $19.05, how much did each hot dog cost?

• $3.00

• $2.85

• $3.25

• $2.75

Tickets to a school play cost $4 in advance or $5 at the door. If no tickets were sold in advance and the total sales were $440, how many tickets were sold at the door?

• 80 tickets

• 90 tickets

• 85 tickets

• 88 tickets

Nate and his friends rented a canoe for 4 hours and paid $68. If the cost per hour is $12, what is the equation to find the cost for 7 hours?

• y = 12x + 68

• y = 12x - 68

• y = 12x + 20

• y = 12x - 20

A construction company charges $18 per hour for debris removal plus a one-time fee. If the total fee for 8 hours was $219, what is the one-time fee?

• $90

• $85

• $80

• $75

To surf the internet for 15 minutes costs $4.05, and for 40 minutes it costs $5.80. What is the cost for 60 minutes?

• $6.20

• $6.80

• $7.20

• $7.80

If water boils at 100°C (212°F) and freezes at 0°C (32°F), what is the Fahrenheit temperature when it is 25°C?

• 77°F

• 81°F

• 75°F

• 79°F

A car's value is $15,000 after 3 years and $11,000 after 5 years. What is the value after 8 years?

• $5,000

• $6,000

• $8,000

• $7,000

If the slope of a line is 79 and the y-intercept is the installation fee, what is the installation fee if the equation is y = 79x + b?

• $60

• $50

• $70

• $75