EmSAT EmSAT Mathematics 4

Question 1

What is the quadratic formula?

Accepted Answer

x = −b ± √(b²−4ac) / 2a

Answer

x = b ± √(b²−4ac) / 2a

Answer

x = −b ± √(b²+4ac) / 2a

Answer

x = −b ± √(b²−4ac) / a

Question 2

Solve: x² − 5x + 6 = 0

Accepted Answer

x = 2 or x = 3

Answer

x = −2 or x = −3

Answer

x = 1 or x = 6

Answer

x = 2 or x = −3

Question 3

What is the discriminant of x² + 4x + 5 = 0?

Accepted Answer

−4

Answer

4

Answer

−36

Answer

36

Question 4

What type of roots does a quadratic have if the discriminant is negative?

Accepted Answer

Two complex roots

Answer

Two equal real roots

Answer

Two distinct real roots

Answer

One real root

Question 5

Expand: (x + 3)²

Accepted Answer

x² + 6x + 9

Answer

x² + 9

Answer

x² + 3x + 9

Answer

x² − 6x + 9

Question 6

If the graph of y = ax² opens downward, what can you say about a?

Accepted Answer

a < 0

Answer

a > 0

Answer

a = 0

Answer

a = 1