Q2 Summative Test in Intermediate Algebra 8

What is the degree of the equation x² + 5x + 6 = 0?

• 1

• 2

• 3

• 4

• None of the above

What is the standard form of the quadratic equation?

• ax²+bx+c=0

• y=mx+b

• ax+b=0

• ax³+bx²+cx+d=0

A ball is thrown upward with a velocity of 20 m/s from a height of 5 m. The equation of its height after t seconds is h=−5t²+20t+5. What is its height after 2 seconds?

• 25 m

• 30 m

• 35 m

• 40 m

Which situation can be represented by a quadratic equation?

• Finding total cost based on unit price

• Determining the area of a square garden when side length changes

• Converting temperature from °C to °F

• Computing interest on a savings account

A rectangular lot has an area of 96 m². If the length is 4 m longer than the width, what is the width?

• 6 m

• 8 m

• 10 m

• 12 m

What are the roots of the equation x²+5x+6=0?

• -3 and -2

• 2 and 3

• -6 and -1

• 1 and 6

Which of the following equations can be solved using the difference of two squares?

• x² − 4 = 0

• x² + 3x + 2 = 0

• x² − x − 6 = 0

• x² + 4x + 4 = 0

Which of the following equations has real and equal roots?

• x² − 2x + 1 = 0

• x² + 4x + 3 = 0

• x² − 4 = 0

• x² + 2x + 5 = 0

• None of the above

When solving 3x²−12x=0, what should be factored out first?

• x²

• 3

• 3x²

• 12

The length rectangular garden is 3 meters more than its width. If the area is 54 m², what is the width?

• 6 m

• 7 m

• 8 m

• 9 m