EOC Review #1

A line, y = mx + b, passes through the point (1, 4) and is parallel to y = 2x - 8. What is the value of b?

The cost to mail a box of textbooks can be modeled by the function f(x) = 1.75x + 5.25, where x is the number of books mailed. What does the y-intercept of the function represent?

• the cost to mail a box with no textbooks

• the number of books mailed

• the cost per book

• the weight of the book

The function M(x) = 8x + 2 represents the cost of taking x number of people to the movies. How much would it cost to take 7 people to the movies?

What is the value of x in the equation below?

2(x + 8) - 4x = 10x + 4

What is the value of x in the system of equations shown below?

5x + 4y = 1

y = 1 - x

Which situation can be modeled with a linear function?

• A taxi charges an initial fee of $2, and $1.50 for each additional mile.

• The population in a town decreases by 15% each year.

• A cell doubles in size every 2 hours.

Which equation has a graph which is perpendicular to the line y = -2x and passes through the point (-2, 3)?

• x - 2y = 8

• x + 2y = -8

• x - 2y = -8

• x + 2y = 8

A triangle has vertices at (1, 3), (2, -3), and (-1, -1). What is the approximate perimeter of the triangle?

• 10

• 14

• 15

• 16