Construct Functions Worksheets Grade 8

1. (3x + 15) ÷ 3 = 10
2. Liam is tracking the growth of his sunflower plant. After 3 weeks, it was 15 cm tall, and after 7 weeks, it was 39 cm tall. Assuming the plant grows at a constant rate, write a linear equation in slope-intercept form that represents the plant's height (h) after w weeks. What is the height of the plant after 10 weeks?
3. A rectangular garden is drawn on a coordinate plane with corners at points (2, 1), (8, 1), (8, 5), and (2, 5). A diagonal line is drawn from the bottom-left corner (2, 1) to the top-right corner (8, 5). This line represents a path through the garden. What is the slope of this diagonal path?

…and 5 more problems

1. A line passes through points (3, 8) and (7, 20). Find the slope of the line.
2. A local library is tracking book borrowing patterns. They found that the number of fiction books borrowed each week (y) has a linear relationship with the number of new members (x). When there are 20 new members, 180 fiction books are borrowed. When there are 35 new members, 270 fiction books are borrowed. Write a linear equation in slope-intercept form that represents this relationship. How many fiction books would be borrowed if there were 50 new members?
3. Mason earns $27 per hour as a tutor. Write a linear function f(x) that represents his total earnings after working x hours.

…and 5 more problems

1. A local coffee shop is analyzing their daily revenue. They notice that when they charge $3.50 per coffee, they sell 120 cups per day, and when they lower the price to $2.50 per coffee, they sell 180 cups per day. Assuming a linear relationship between price and number of cups sold, what price should they charge to sell exactly 150 cups per day?
2. A right triangle is drawn on a coordinate plane with vertices at (1, 2), (1, 6), and (4, 2). A line is drawn from the vertex at (1, 6) to the midpoint of the hypotenuse. What is the slope of this line?
3. A rectangular garden is being planned with a length that is 3 meters more than twice its width. The perimeter of the garden is 36 meters. If you visualize this rectangle on a coordinate plane, with the bottom-left corner at the origin (0,0) and the width along the x-axis, what are the coordinates of all four corners of the rectangle?

…and 4 more problems