Math 1 EOC Review

The function f(x) = -0.25x + 5 models the height of a candle x seconds after it is lit. What is the meaning if the y-intercept of the function?

• the initial height of the candle

• the final height of the candle

• the rate at which the candle is burning

• the amount of time it will take the candle to burn

The total cost, in dollars, of membership in a fitness center is given by the function c(m) = 20m + 40, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year?

• 60

• 280

• 120

• 40

Water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.

• The depth of the water is increasing linearly.
• At 1:30 p.m., the water depth was 2.4 feet.
• It is now 4:00 p.m. and the depth of the water is 3.9 feet.

What will be the depth (in feet) of the water be at 5:00 pm?

• 3 ft

• 3.5 ft

• 4 ft

• 4.5 ft

A rectangle has a perimeter of 64.

• Let x be the width of the rectangle.
• Let y be the area of the rectangle.

Which equation can be used to find the are of the rectangle?

• y = x² - 64x

• y = -x² + 64x

• y = x² - 32x

• y = -x² + 32x

What is the distance between the y-intercept of the function f(x) = 2x² - 6x + 3 and the y-intercept of the linear function g represented by the table ?

• 2 units

• 3 units

• 8 units

• 9 units

A function is shown below.

g(x) = 19.60 + 1.74x

What is the value of g(30) ?

• 71.8

• 19.60

• 42.50

• 174

David has a rectangle and a right triangle.

• The length of the rectangle is 5 more than its width, w.
• The length of the shorter leg of the triangle is equal to the rectangle's width.
• The length of the longer leg of the triangle is twice the length of the rectangle.

Which function, f(w), represents the combined area of the rectangle and the triangle?

• f(w) = 2w² + 10w

• f(w) = 3w² + 15w

• f(w) = w² + 10w + 25

• f(w) = w² + 15w + 50

The function a(n) = 3n -7 represents the value of the nth term in a sequence. What is the sum of the 1st and 5th terms of the sequence?

• 4

• -4

• 12

• -12

The width of a rectangle is ¾ its length. The perimeter of the rectangle is 420 ft. What is the length, in feet, of the rectangle?

• 120 ft

• 210 ft

• 105 ft

• 60 ft

Two stores have movies to rent.

• The first store changes a $12.50 - per - month membership fee plus $1.50 per movie rented.
• The second store has no membership fee but charges $3.50 per movie rented.

What is the minimum number of movies a person would need to rent in a month for the first store to be a better deal?

• 7

• 6

• 8

• 9