Ch 3 Quadratics Test Review

Ch 3 Quadratics Test Review

Example

Multiple Choice

Which equation best represents the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Example

Multiple Choice

Click on the picture to enlarge

• A

• B

• C

• D

Multiple Choice

What is the y intercept for the equation:
y = -8x² + 3x - 7

• (0, -8)
• (0, 3)
• (0, 7)
• (0, -7)

Multiple Choice

If given the equation
y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Multiple Choice

Factor: 4x² - 20x + 25

• (4x - 25) (x -1)
• (2x + 5) (2x - 5)
• (2x - 5)²
• (4x - 5) (x - 5)

Multiple Choice

What are the factors of 3x²-17x+10

• (x-5)(3x-2)
• (x+5)(3x+2)
• (3x-5)(x-2)
• (x+5)(3x-2)

Multiple Choice

What is the factored form of 25x²-9

• (5x+3)(5x-3)
• (x+5)(x-3)
• (x-3)(x+5)
• (5x+3)(3x+5)

Multiple Choice

What is the factored form of x²+16x+15

• (x+1)(x+15)
• (x+3)(x+5)
• (x-3)(x-5)
• (x-1)(x+15)

Multiple Choice

Solve by factoring.

• A
• B
• C
• D

Multiple Choice

Solve by factoring.

• A
• B
• C
• D

Multiple Choice

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Multiple Choice

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

Example

Multiple Choice

Solve using the quadratic formula.

• A

• B

• C

• D

Multiple Choice

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

Multiple Choice

What is the discriminant of -2x² − x − 1 = 0

• 76

• -7

• 9

• none of these

Multiple Choice

The discriminant is

• aX²  + bX  +  c
• b - 4ac
• b² - 4ac
• b² + 4ac

Multiple Choice

Find the solution.

• (4,2) and (0,9)
• (-4,-1) and (2,5)
• (5,3) and (5,2)
• (-4,2) and (5,9)

Multiple Choice

Which graph would match:

Multiple Choice

What is the equation of the circle.

• (x - 3)² + (y + 4)² = 9

• (x - 3)² + (y + 4)² = 3

• x² + y² = 9

• (x - 1)² + (y + 1)² = 7

Multiple Choice

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2
• (x-3)² + (y-4)² = 2
• (x+3)² + (y+4)² = 4
• (x-3)² + (y-4)² = 4

Multiple Choice

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242
• 11
• 121
• 22

Multiple Choice

What does (h,k) stand for in the standard circle equation?

• (h,k) is the center of the circle

• (h,k) is a point on the circle.

• (h,k) is a point that we guess and find

• (h,k) is the distance of the circle