Solving 5 4 Linear Equations Word Problems

This video tutorial covers various forms of linear equations, including slope-intercept, standard, point-slope, and two-point forms. It demonstrates how to apply these forms to solve word problems, such as calculating costs and comparing different scenarios. The tutorial provides practical examples, like determining the number of rides at a fair or the cost of renting a kayak, to illustrate the concepts. By the end, viewers will understand how to choose and use the appropriate form of a linear equation for different types of problems.

What is the slope-intercept form of a linear equation?

• y - y1 = m(x - x1)

• x = my + b

• y = mx + b

• ax + by = c

If the admission to a fair is $5 and each ride costs $0.50, how many rides can Evan go on with $20?

• 40 rides

• 25 rides

• 35 rides

• 30 rides

What is the total cost for Sally to rent a kayak for 3 hours if the hourly rate is $8.50 and the deposit is $25?

• $53.00

• $52.50

• $51.00

• $50.50

In standard form, what does the equation ax + by = c represent?

• A comparison of two different objects

• A polynomial equation

• A single variable equation

• A quadratic equation

If Sam ordered 2 hamburgers and 3 hot dogs for a total of $19.05, and each hamburger costs $5.25, how much does each hot dog cost?

• $3.00

• $2.85

• $2.75

• $2.50

How many tickets were sold at the door if no tickets were sold in advance and the total sales were $440 with door tickets costing $5 each?

• 90 tickets

• 92 tickets

• 85 tickets

• 88 tickets

What is the point-slope form of a linear equation?

• x = my + b

• y - y1 = m(x - x1)

• ax + by = c

• y = mx + b

If it costs $12 per hour to rent a canoe and Nate paid $68 for 4 hours, what is the cost for 7 hours?

• $100

• $104

• $108

• $112

Using two points, how do you find the slope of a line?

• Multiply the x-values and y-values

• Add the x-values and y-values

• Subtract the y-values and divide by the x-values

• Subtract the x-values and divide by the y-values

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

• 75°F

• 81°F

• 79°F