Mathematics 9 Q1 Test Reviewer

Which of the following is a quadratic equation?

• x=5

• x-5=0

• x²-5=0

• x³-5=0

What is the standard form of the equation 4x = 3x² - 2?

• 3x² - 4x - 2 = 0

• 3x² + 4x - 2 = 0

• 3x² - 4x + 2 = 0

• 3x² + 4x + 2 = 0

Which of the following quadratic equations can be solved easily by extracting square roots?

• x² - 7x + 12 = 0

• 2w² + 7w - 3 = 0

• 3v² - 2v - 8 = 0

• 4t² - 9 = 0

Which representation shows solutions of x²+2x-15=0?

• x²+2x=-15

• (x+5)(x-3)=0

• x(x+2)=15

• (x-5)(x+3)=0

If the roots of 2𝑥² = − 3(𝑥 + 2) is solved using quadratic formula, what is the first thing to consider?

• Identify the value of 𝑎, 𝑏, and 𝑐.

• Rewrite the equation in standard form.

• Substitute the values of 𝑎, 𝑏, and 𝑐 in the quadratic formula

• Divide both sides by a common factor

In solving the equation x² + 14x = 32 by completing the square, what will be added to both sides of the equation to make the left side of the equation a perfect square trinomial?

• 7

• 14

• 49

• 2401

Below are the steps in solving quadratic equations by using the quadratic formula. Arrange the steps in order.

• I, II, III, IV, V

• III, I, V, IV, II

• V, IV, III, II, I

• III, IV, I, V, II

Which of the statements are TRUE?

• If the discriminant is negative, then the quadratic equation has no real roots.

• If a = 3, b=1, c=2, then b² - 4ac is positive

• If b2 - 4ac = 0 in ax2+bx+c=0, a≠0, then the equation has one solution.

• I, II and III

• I and III only

Which of the following quadratic equations has no real roots?

• 6m²+4m-3=0

• t²-5t-9=0

• 2s²-4s+4=0

• 4r²+2r-5=0

What is the sum of the roots of the quadratic equation 3x²+15x-21=0?

• 15

• 5

• -5

• 7