Solving Quadratic Equations

Solve the equation by factoring. x^2 – 3x – 54 = 0

• x = 9, x = -6

• x = 9, x = 6

• x = -9, x = 6

• x = -9, x = -6

Tags

CCSS.HSA-REI.B.4B

Mrs. Johnson asked her students to simplify √216. Which student correctly completed the task?

• Lauryn

• Keenan

• Both students

• Neither student

Which of the following represents the positive solution to the equation? 5x^2 + 4x – 1 = 0

• x = 1

• x = 0.2

• x = 1.5

• x = 3.2

Tags

CCSS.HSA-REI.B.4B

Solve the equation below. x^2 – 18x + 81 = 0

• x = 3

• x = 9

• x = 18

• No real solutions

Tags

CCSS.HSA-REI.B.4B

What are the solutions to (x + 9)^2 - 5 = 20?

• X=-4 and x=-14

• x=4 and x=-14

Tags

CCSS.HSA-REI.B.4B

Coretta is covering her locker door with crate paper. The door is shaped like a rectangle and has an area of 192 square inches. Find the value of ( x ) that is reasonable for this situation.

• 9.73 inches

• 19.73 inches

• -19.73 inches

• 7.09 inches

Martha sells custom painted square canvases. She determined that the amount of tissue paper she’ll need to wrap each canvas can be represented by ( y = x^2 + 2x + 1 ), where ( y ) is the total square inches of tissue paper and ( x ) is the side length of the canvas in inches. To determine the side length of the canvas if Martha needs 25 square inches of tissue paper, which of the following options is correct?

• 3 inches

• 4 inches

• 5 inches

• 6 inches

Simplify the expression. 2√72

• 12√2

• 12

• 6√4

• 4√18

What are the solutions to x^2 + 13x = -40?

• x = -5, x = -8

• x = 5, x = 8

• x = -5, x = 8

• No real solutions

Tags

CCSS.HSA-REI.B.4B

Which of the following statements is true about the function shown on the grid at the right?

• y = -(x – 2)^2 is the factored form of the function.

• (x – 2) is a linear factor of the function.

• The zero of the function is 4.

• y = x^2 – 4 represents the function.

Tags

CCSS.HSF-IF.C.7A