Quadratics Word Problems Day 2

The outside of a picture frame has a length which is 8 cm more than width. The area enclosed by the outside of the picture frame is 65 square cm. Find the width of the outside of the picture frame.

• 5 cm
• 8 cm
• 21 cm
• 13 cm

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

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If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t² +128t  
When will the object reach its maximum height?

• 4 ft
• 0 seconds
• 0 ft
• 4 seconds

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

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What quantity must be added to 4x²+x-5 to obtain x²+5x+1

• 5x²+6x+6
• 5x²+6x-4
• -3x²+6x-4
• -3x²+4x+6

The Area of a rectange is 216 inches squared. The length of the rectangle can be represented by 2x +10 and its width can be represented by 3x. What are the dimensions of this rectangle in inches?

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Sabrina solves the quadratic equation x²-16x+15=0 for x by completing the square. Which would be a valid step in the solution to the problem?

• (x + 8)² = 49
• (x - 8)² = 49
• (x + 8)² = -15
• (x - 8)² = 79

Factor

2x² + 9x - 5

• (x - 5)(2x - 1)

• (2x - 5)( x + 1)

• (x + 5)(2x - 1)

• (2x + 5)(x - 1)

Factor:

6x² + 13x - 5

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What does GCF mean?

• green colored frogs

• greatest coefficient

• greatest common factor

• greater common fraction