Algebra 1B Spring 2024 FINAL EXAM

A line is graphed on the coordinate plane. What is the relationship between x and y for the line graphed on the coordinate grid?

• y = 2x

• y = 2x + 3

• y = x + 2

• y = x - 3

• When graphed, the 𝑦-intercept of 𝐴(𝑥) is (0,0).

• When graphed, the 𝑥-intercepts of 𝐴(𝑥) are (0,0) and (13.5,0).

• When graphed, the 𝑥-intercepts of 𝐴(𝑥) are (−3, 0) and (3, 0).

• A width of 9 gives the garden a maximum area of about 61 ft^2

• 
  A width of 4.5 gives the garden a maximum area of about 81 ft2.

Which equation can be used to find a solution to the equation 2x^2 - x - 1 = 0?

• A) (x - 1) = 0

• B) (x + 1) = 0

• C) (x - 2) = 0

• D) (x + 2) = 0

Let f(x) be a quadratic function. Which best describes the transformation of f(x) to g(x) = f(x + 3) - 2?

• a horizontal shift left 3 units and a vertical shift down 2 units

• a horizontal shift left 2 units and a vertical shift down 3 units

• a horizontal shift right 3 units and a vertical shift down 2 units

• a horizontal shift right 2 units and a vertical shift down 3 units

What is the average rate of change of the function from x = 1 to x = 3?

• A) 10

• B) 12.5

• C) 15

• D) 30

Consider the equations f(x) = 3^x and g(x) = 3^x + 4. Which transformation will map f(x) onto g(x)?

• a shift down 4

• a shift left 4

• a shift right 4

• a shift up 4

A construction site has a large pile of dirt, measuring 90 cubic yards, which is used to fill holes. Each hour, the construction crew takes 10 cubic yard of dirt from the pile to fill holes. Which best describes the function representing the amount of dirt remaining in the pile after x hours?

• The function is exponential because the amount of dirt in the pile is decreasing by a constant percentage.

• The function is exponential because the amount of dirtin the pile is increasing by a constant percentage.

• The function is linear because the amount of dirtin the pile is decreasing at a constant rate.

• The function is linear because the amount of dirt in the pile is increasing at a constant rate.

The table represents the profit a bakery earns by selling 𝑚 muffins.

If P(m) is the function representing the relationship between the number of muffins sold and the profit, which statement is true?

• The bakery earns $1.99 in profit per muffin, and 1.99 represents the slope of the function.

• The bakery earns $1.99 in profit per muffin, and 1.99 represents the y-intercept of the function.

• The bakery earns $3.98 in profit per muffin, and 3.98 represents the slope of the function.

• The bakery earns $3.98 in profit per muffin, and 3.98 represents the y-intercept of the function.

• x = -8, -4

• x = -8, 4

• x = -4, 8

• x = 4, 8

Brittany buys a car for $37,000. The value of the car depreciates by 8% every year. Which function represents the value of the car, y, in dollars 3 years from its purchase?