Graphing Equations & Finding Intercepts: 8th Grade Challenge

A local park is shaped like a rectangle. The length of the park is represented by the equation 2x + 3y = 12. Convert this equation to graph and identify the x-intercept and y-intercept.

• x-intercept: (4, 0), y-intercept: (0, 6)

• x-intercept: (3, 0), y-intercept: (0, 2)

• x-intercept: (5, 0), y-intercept: (0, 5)

• x-intercept: (6, 0), y-intercept: (0, 4)

Tags

CCSS.HSF-IF.C.7A

A school is planning to build a new sports field. The area of the field can be represented by the equation 4x - 2y = 8. Graph this equation and find the intercepts.

• (2, -4) and (0, -2)

• (0, 4) and (-2, 0)

• The intercepts are (0, -4) and (2, 0).

• (4, 0) and (0, 2)

Tags

CCSS.HSF-IF.C.7A

A farmer has a rectangular plot of land. The perimeter is represented by the equation 3x + 4y = 24. Convert this to graph and identify the intercepts.

• The intercepts are (0, 6) and (8, 0).

• (4, 4) and (0, 12)

• (0, 8) and (6, 0)

• (12, 0) and (0, 3)

Tags

CCSS.HSF-IF.C.7A

A car rental company charges a flat fee of $50 plus $20 per day. This can be represented by the equation y = 20x + 50. Graph this equation and find the intercepts.

• Y-intercept: (0, 20), X-intercept: (-2, 0)

• Y-intercept: (0, 50), X-intercept: (-3, 0)

• Y-intercept: (0, 50), X-intercept: (-2.5, 0)

• Y-intercept: (0, 50), X-intercept: (-1.5, 0)

Tags

CCSS.HSF-IF.C.7A

A bakery sells cupcakes and cookies. The total sales can be represented by the equation 5x + 3y = 30. Convert this to graph and identify the intercepts.

• (0, 5) and (3, 0)

• The intercepts are (0, 10) and (6, 0).

• (5, 0) and (0, 6)

• (0, 15) and (10, 0)

Tags

CCSS.HSF-IF.C.7A

A concert venue has a seating capacity represented by the equation 6x + 2y = 60. Graph this equation and find the x-intercept and y-intercept.

• x-intercept: (0, 30), y-intercept: (10, 0)

• x-intercept: (5, 0), y-intercept: (0, 20)

• x-intercept: (10, 0), y-intercept: (0, 30)

• x-intercept: (15, 0), y-intercept: (0, 10)

Tags

CCSS.HSF-IF.C.7A

A delivery service charges a base fee of $15 plus $5 per mile. This can be represented by the equation y = 5x + 15. Graph this equation and identify the intercepts.

• The intercepts are (0, 15) for the y-intercept and (-3, 0) for the x-intercept.

• The intercepts are (0, 10) for the y-intercept and (-2, 0) for the x-intercept.

• The intercepts are (0, 15) for the y-intercept and (5, 0) for the x-intercept.

• The intercepts are (0, 5) for the y-intercept and (3, 0) for the x-intercept.

Tags

CCSS.HSF-IF.C.7A

A local gym has a membership fee represented by the equation 10x + 4y = 40. Convert this to graph and find the intercepts.

• (0, 4) and (10, 0)

• The intercepts are (4, 0) and (0, 10).

• (2, 20) and (0, 5)

• (5, 0) and (0, 8)

Tags

CCSS.HSF-IF.C.7A

A bookstore sells novels and magazines. The total revenue can be represented by the equation 2x + 5y = 50. Graph this equation and identify the intercepts.

• (0, 5) and (10, 0)

• (5, 0) and (0, 20)

• The intercepts are (0, 10) and (25, 0).

• (0, 25) and (12.5, 0)

Tags

CCSS.HSF-IF.C.7A

A landscaping company charges for services based on hours worked. The cost can be represented by the equation 3x + 7y = 21. Convert this to graph and find the intercepts.

• (5, 0) and (0, 5)

• (0, 7) and (3, 0)

• (4, 0) and (0, 4)

• The intercepts are (7, 0) and (0, 3).

Tags

CCSS.HSF-IF.C.7A