G09 - MATH Q1 Reviewer

What is the standard form of a quadratic equation?

• y = mx + b

• 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0

• 𝑦 = 𝑎(𝑥 − ℎ)2 + 𝑘

• y = kx

What is the number of real solutions for a quadratic equation with a discriminant is = 0?

• One real solution

• Two real solutions

• No real solutions

• It depends on the value of 'a'

What is the solution to the quadratic equation 𝑥2 = 25 when extracting square roots?

• x = 5

• x = 6

• x = ±5

• x = ±6

An airplane makes a trip f 2400 miles long into the wind and 2400 miles back with the same tail wind, maintaining the constant speed of 440 miles per hour relative to the air. The entire round trip takes 8 hours. What is the speed of the current?

• 30 m / h

• 20 mi/h

• 40 m / h

• 60 mi/h

The roots of a quadratic equation are 6 and -3. Which of the following quadratic equations has these roots?

• 𝑥2 − 3𝑥 − 18 = 0

• 𝑥2 − 3𝑥 + 18 = 0

• 𝑥2 + 3𝑥 + 18 = 0

• 𝑥2 + 3𝑥 − 18 = 0

After completing the square, what is the solution to the equation 𝑥2 − 4𝑥 − 5 = 0?

• x = 2 ± √9

• x = 2 ± 3

• x = 4 ± √9

• x = 3 ± 2

What is the discriminant of a quadratic equation in the form 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0

• Δ = 𝑏2 − 4𝑎𝑐

• Δ = 𝑏2 + 4𝑎𝑐

• Δ = 2𝑎𝑏2 − 𝑐

• Δ = 𝑎2 + 𝑏2 − 𝑐

The sum of the roots of a quadratic equation is 5. If one of the roots is 1, which of the following is the quadratic equation?

• 𝑥2 + 5𝑥 − 4 = 0

• 𝑥2 − 5𝑥 + 4 = 0

• 𝑥2 + 5𝑥 + 4 = 0

• 𝑥2 − 5𝑥 − 4 = 0

Marie and Joy are planning to paint a house together. Marie thinks that she works alone, it will take her 5 hours more than the time Joy takes to paint the entire house. Working together, they can complete the job in 6 hours. How long will it take Marie to finish the job?

• 5 hours

• 10 hours

• 15 hours

• 20 hours

Which of the following discriminant values indicates that a quadratic equation has no real solutions?

• Δ > 0

• Δ = 0

• Δ < 0

• Δ = 1