Unit 1A Study Guide

Which expressions below could be an expression that defines the number of dots as a function of the step number, n? (Select all that apply.)

How many squares in step 4?

How many squares in step 22?

Write an equation that relates the step number, n, to the number of boxes, b.

How many squares in step 9?

Write an equation that relates the step number, n, to the number of boxes, b.

Write an equation that models the baseball's height. Let h represent the ball's height in feet, and t represent time in seconds after it is dropped (from 75 feet).

What is a reasonable domain for the equation? (Round to the nearest tenth if necessary.)

Approximately how long does it take for the baseball to hit the ground? (Round to the nearest tenth.)

The same baseball is thrown from a height of 75 feet with an initial vertical velocity of 65 feet per second. Write an equation that models the baseball's height. Let h represent the ball's height in feet, and t represent time in seconds after it is thrown.

What is a reasonable domain for the equation? (Round to the nearest tenth if necessary.)

Approximately what is the maximum height of the baseball? (Round to the nearest tenth.)

Expand (x - 5)(x + 7). Write your answer in standard form.

Expand (2x + 10)(3x - 4). Write your answer in standard form.

Expand (x - 10)². Write your answer in standard form.

Expand 3(x + 1)(x - 1). Write your answer in standard form.

Expand 4(x² + 9x - 8). Write your answer in standard form.

Number of customers for row 1?

Revenue for row 2?

Number of customers for row 3?

Revenue for row 4?

Number of customers for row 5?

Number of customers if the membership fee is m?

Write an equation to represent R, revenue, as a function of m, the membership fee.

Based on the graph of the function, how much should Anytime Fitness charge for membership?

How much will they earn in revenue at this cost?

Where is the coordinate of one x-intercept of this graph?

Where is the coordinate of the other x-intercept of this graph?

l represents length and 45 - l represents width. Write an equation that models A, the area of the pasture in square feet, as a function of l, the length in feet.

What is a reasonable domain for the equation? (Round to the nearest tenth if necessary.)

What should the contractor choose for a length if he wants to maximize the area of the pasture?

What would the maximum possible area of the pasture be?

What are the coordinates for one of the x-intercepts of the graph?

What are the coordinates for the other x-intercepts of the graph?

Match each number in the equation with the part of the situation it represents.

What is the ball's maximum height? (Round to the nearest tenth.)

How long does it take for the football to reach its maximum height? (Round to the nearest tenth.)

How long does it take for the football to hit the ground? (Round to the nearest tenth.)

Whose work is correct?

What is (2n - 3)(n + 4) in standard form?