SaiBook.us SAT-2

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Quadratic-Equations and Factors

Grade: 1300-a Lesson: S2-L1

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	Solve the quadratic equation by factoring: \$x^2 − 5x + 6\$ = 0.	A) x = 3, 1 B) x = 2, 3 C) x = 2, 4 D) x = 3, 4
2	Solve the quadratic equation using the quadratic formula: \$2x^2+ 3x − 2\$ = 0.	A) \$x = 3 / 2\$ and x = 1 B) \$x = - 1 / 2\$ and x = 2 C) \$x = 1 / 2\$ and x = - 2 D) \$x = - 3 / 2\$ and x = - 2
3	Find the vertex of the quadratic equation: 𝑦 = \$3x^2 − 12x + 7\$.	A) (3, 5) B) (2, 5) C) (3, -5) D) (2, − 5)
4	Write the quadratic function in vertex form: y = \$x^2 + 8x + 16\$.	A) (− 4, 0) B) (4, 1) C) (− 4, 1) D) (4, 0)
5	Given points P (1, 2, 3) and Q (4, − 1, 2): Find the distance between points P and Q.	A) \$sqrt19\$ B) \$sqrt20\$ C) \$sqrt21\$ D) \$sqrt18\$
6	Solve the quadratic inequality: \$x^2 − 3x − 4\$ < 0.	A) − 1 < x < 4 B) − 1 < x < 5 C) 1 < x < 4 D) 1 < x < 5
7	Solve the quadratic equation by completing the square: \$x^2 + 4x − 5 = 0\$	A) x = 1 and x = − 5 B) x = -1 and x = 5 C) x = 2 and x = 5 D) x = 2 and x = 6
8	Find the angle between A = (3, −1, 2) and B = (2, 4, −1), find their scalar product.	A) 45° B) 90° C) 60° D) 0°
9	Solve for x: \$x^2 + 7x + 10 = 0\$	A) x = 2 and x = 6 B) x = −2 and x = 5 C) x = −2 and x = −5 D) x = 1 and x = 5
10	A ball is thrown upwards with a velocity of 20 m/s from a height of 50 meters. The height h of the ball at any time t is given by the equation: \$h = −5t^2 + 20t + 50\$ When will the ball hit the ground?	A) 4.03 seconds. B) 4.79 seconds. C) 5.12 seconds. D) 5.74 seconds

Problem Id

Problem

Options

Solve the quadratic equation by factoring: \$x^2 − 5x + 6\$ = 0.

A) x = 3, 1

B) x = 2, 3

C) x = 2, 4

D) x = 3, 4

Solve the quadratic equation using the quadratic formula: \$2x^2+ 3x − 2\$ = 0.

A) \$x = 3 / 2\$ and x = 1

B) \$x = - 1 / 2\$ and x = 2

C) \$x = 1 / 2\$ and x = - 2

D) \$x = - 3 / 2\$ and x = - 2

Find the vertex of the quadratic equation: 𝑦 = \$3x^2 − 12x + 7\$.

A) (3, 5)

B) (2, 5)

C) (3, -5)

D) (2, − 5)

Write the quadratic function in vertex form: y = \$x^2 + 8x + 16\$.

A) (− 4, 0)

B) (4, 1)

C) (− 4, 1)

D) (4, 0)

Given points P (1, 2, 3) and Q (4, − 1, 2):

Find the distance between points P and Q.

A) \$sqrt19\$

B) \$sqrt20\$

C) \$sqrt21\$

D) \$sqrt18\$

Solve the quadratic inequality: \$x^2 − 3x − 4\$ < 0.

A) − 1 < x < 4

B) − 1 < x < 5

C) 1 < x < 4

D) 1 < x < 5

Solve the quadratic equation by completing the square: \$x^2 + 4x − 5 = 0\$

A) x = 1 and x = − 5

B) x = -1 and x = 5

C) x = 2 and x = 5

D) x = 2 and x = 6

Find the angle between A = (3, −1, 2) and B = (2, 4, −1), find their scalar product.

A) 45°

B) 90°

C) 60°

D) 0°

Solve for x: \$x^2 + 7x + 10 = 0\$

A) x = 2 and x = 6

B) x = −2 and x = 5

C) x = −2 and x = −5

D) x = 1 and x = 5

A ball is thrown upwards with a velocity of 20 m/s from a height of 50 meters. The height h of the ball at any time t is given by the equation: \$h = −5t^2 + 20t + 50\$ When will the ball hit the ground?

A) 4.03 seconds.

B) 4.79 seconds.

C) 5.12 seconds.

D) 5.74 seconds