Deck 26: Quadratic and Cubic Equations

Question 1

A quadratic equation is factorized into the for (2x + 3)(x + 4) = 0. Which option below is the equivalent equation in the form ax² + bx + c = 0?

A) x² + 11x + 12 = 0
B) x² + 11x + 7 = 0
C) 2x² + 11x + 12 = 0
D) 2x² + 11x + 7 = 0

Answer 1

2x² + 11x + 12 = 0

Question 2

When a quadratic equation is solved graphically, which feature of the graph represents the solution(s) to the equation?

A) The mean gradient of the curve
B) The point(s) at which the graph crosses the vertical (y) axis
C) The point(s) at which the graph crosses the horizontal (x) axis
D) The area between the curve and the horizontal axis

Answer 2

The point(s) at which the graph crosses the horizontal (x) axis

Question 3

What is the MAXIMUM number of solutions for a quadratic equation?

A) 0
B) 1
C) 2
D) 3

Answer 3

2

Question 4

What is the only solution for the equation y = -2x² + 4x - 2?

A) x = -0.5
B) x = 0
C) x = 0.5
D) x = 1

Question 5

Which is the correct form of a cubic equation when a = 3; b = -6; c = 2; d = 4?

A) y = 3x³ + 6x² + 2x + 4
B) y = 3x³ - 6x² - 2x + 4
C) y = 3x³ + 6x² + 2x - 4
D) y = 3x³ - 6x² + 2x + 4

Question 6

What is the MAXIMUM number of solutions for a cubic equation?

A) 1
B) 2
C) 3
D) 4

Question 7

The formula y = 2x² + 5x +2 has two solutions for x. One is x = -3.5. Find the other using the formula method.

A) x = 1
B) x = 1.5
C) x = 2
D) x = 2.5

Question 8

A quadratic equation is factorized into the form (x - 5)(x + 6) = 0. Which option below shows the correct pair of solutions for x?

A) x = 5; x = -6
B) x = 5; x = 6
C) x = -5; x = -6
D) x = -5; x = 6

Question 9

What is the maximum power of a variable in a quadratic equation?

A) 1
B) 2
C) 3
D) 4

Question 10

Which of the following options represents a quadratic equation when a = 3, b = -3 and c = 4?

A) y = 3x² + 3x +4
B) y = 3x² - 3x - 4
C) y = 3x² - 3x + 4
D) y = 3x² + 3x - 4