Factoring & Find the Dimensions of a Rectangle Given Area

Multiple Choice

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96 sq. cm. Find its dimensions.

• 4 cm by 8 cm

• 6 cm by 10 cm

• 8 cm by 12 cm

• 10 cm by 14 cm

Multiple Choice

The length of a rectangle is 1 m longer than 2 times its width. The area is 36 m² . Find the dimensions of this rectangle.

• 3m by 12m

• 4m by 9m

• 2m by 6m

• 1m by 36m

Multiple Choice

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

• 4 seconds

• -2 seconds

• 6 seconds

• 9 seconds

Multiple Choice

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t² + 45

When is the ball at ground level?

• only at t = 0 seconds

• only at t = 3 seconds

• only at t = 9 seconds

• at both t = 0 seconds and t = 3 seconds

Multiple Choice

The length of a rectangle is 6 meters more than the width.  The area is 72 square meters.  Find the length and width.

• Length = 6, Width = 12
• Length = 18, Width = 4
• Length = 12, Width = 6
• Length = 4, Width = 6

Multiple Choice

What should you do first to solve this equation using factoring?

x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Multiple Choice

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x
• Solve for x
• FOIL
• Set each binomial factor equal to zero

Multiple Select

 Solve the quadratic function using any method. Select the solutions.
$$x^2+4x=12$$  

• x = 2

• x = -6

• x = 6

• x = 1

• x = -2

Multiple Choice

Lisa solves the equation below:

x² + 4x - 12 = 2

(x - 2)(x + 6) = 2,

by setting x -2 = 0 and x + 6 = 0.

Her solutions are x = 2 and x = -6.

Is Lisa correct? Why or why not?

• Yes, she factored correctly.

• Yes, she factored correctly and then square rooted.

• No, she did factor correctly, but solved it wrong. It should be equal to 2

• No, she didn't set the equation to zero.

Multiple Choice

What is the solution set for the given quadratic equation ?

• A

• B

• C

• D