Math 2 Course Review Assessment

Emma is working on a math problem involving polynomial expressions. She needs to find which expression is equivalent to (2x^2 - 7x). Can you help her?

• 2x - 9(x - 8)

• 2x - 9(x + 8)

• x^2 - 6(x - 6)

• 2x - 6(x + 6)

Abigail is designing a garden in the shape of a square with each side measuring (3x + 5) meters. She wants to calculate the difference between the area of the garden and the total length of the fence around it. Which expression represents this difference?

• 9x^2 + 18x + 5

• 9x^2 + 18x + 45

• 9x^2 + 42x + 5

• 9x^2 + 42x + 45

Ethan is working on a math problem for his homework and needs to simplify the expression (4x^2 - 12x). Which of the following is equivalent to Ethan's expression?

• (2x - 11)(2x - 11)

• (2x - 11)(2x + 11)

• (4x - 11)(x - 11)

• (4x - 11)(x + 11)

Mason is working on a physics problem and needs to simplify the expression for the potential energy in a system, given by (4t^2 - 16). Which expression is equivalent to this?

• (4t - 4)(t - 4)

• (4t + 4)(t - 4)

• (4t + 2)(t - 2)

• (4t - 2)(t - 2)

Abigail is analyzing the trajectory of a rocket, which can be modeled by the equation (x^2 + 12x + 27). What is the value of the larger zero of this function?

• 9

• 3

• -3

• -9

Ava is trying to solve a quadratic equation in her math class. The equation is (x^2 + 4x - 25). Which value of x is a zero of this function?

• 9

• 12

• 14

• 21

Rohan is trying to solve a quadratic equation in his math class. The equation is given by (x^2 + 9x + 14). What are the zeroes of this equation?

• -7, -2

• -7, 2

• -2, 7

• 2, 7

Jason kicked a ball into the air during a soccer game. The function h(t) = 80t - 16t^2 models the height of the ball, in feet, t seconds after it was kicked. How long does it take for the ball to hit the ground?

• 2.5 seconds

• 5 seconds

• 8.5 seconds

• 10 seconds

Elijah throws a baseball vertically upwards with an initial speed of 84 feet per second. The height of the baseball, in feet, after t seconds can be calculated using the formula h = -16t^2 + 84t. What is the maximum height reached by the baseball?

• 68 feet

• 84 feet

• 110 feet

• 179 feet

Anika is analyzing the profit of her startup over time. She models her profit in dollars as y = x^2 + 2x + 8, where x represents the number of years since the startup's inception. She also models her expenses in dollars as y = 4x. What is the smallest value of y in the solution set of these equations?

• -4

• -2

• 8

• 16