Math Grade 10 Semester 1

Identify the quadratic function from the following options: a) y = 2x + 3, b) y = x^2 - 4x + 4, c) y = 5, d) y = 3x^3

• y = x^2 + 2x + 1

• y = x^2 - 4x + 4

• y = 7x^2 + 3x

• y = 4x - 1

Solve the quadratic equation: x^2 - 5x + 6 = 0

• x = 1, x = 6

• x = 2, x = 3

• x = -2, x = -3

• x = 0, x = 5

What is the vertex of the quadratic function y = 2x^2 - 8x + 6?

• (0, 6)

• (4, 6)

• (2, -2)

• (2, 0)

In a Venn diagram, if set A has 5 elements, set B has 7 elements, and the intersection of A and B has 3 elements, how many elements are in the union of A and B?

• 8

• 6

• 10

• 9

Calculate the probability of rolling a sum of 7 with two six-sided dice.

• 1/6

• 1/4

• 1/12

• 1/8

If the sequence is defined as 2, 4, 8, 16, what is the 6th term?

• 80

• 64

• 48

• 32

Graph the linear relation represented by the equation y = 3x - 2. What is the y-intercept?

• -1

• -2

• 0

• 2

Identify the roots of the quadratic function y = x^2 + 6x + 9.

• x = -3

• x = 3

• x = -6

• x = 0

In a Venn diagram with two sets, if the total number of elements is 20 and the number of elements in set A is 12, how many elements are in set B if their intersection is 4?

• 12

• 10

• 16

• 8

What is the probability of drawing a red card from a standard deck of cards?

• 1.0

• 0.5

• 0.75

• 0.25