FRAG 12/4

FRAG 12/4

Semester 1 Exam Review

Multiple Choice

√243

• 3√3

• 9√3

• 81√3

• 3√81

Multiple Choice

• 13√3

• 10√30

• 13√6

• 11√3

Multiple Choice

 $5\sqrt{2}\cdot4\sqrt{10}$  

•  $20\sqrt{20}$  

•  $10\sqrt{40}$  

•  $40\sqrt{5}$  

•  $9\sqrt{13}$  

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• A

• B

• C

• D

Multiple Choice

Find the sum.

(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x²+ 5x -7

• -2x² + 11x -4

Multiple Choice

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24

• 4x⁴ - 9x³ - 10x² - 2x - 24

• 4x⁴ - 9x³ - 10x² + 2x - 24

• -4x⁴ - 9x³ - 10x² - 24

Multiple Choice

Simplify:

2x ( -2x -3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

Multiple Choice

(x +2)(x + 3)

• x² + 5x + 6

• x² + x + 6

• x² + 5x + 5

• x² + 6x + 6

Multiple Choice

(4x+1)(5x−2)

• 20x² + 3x − 2

• 20x² − 11x + 5

• 20x² − 18x + 2

• 20x² − 3x − 2

Multiple Choice

Factor 17x - 51 using the GCF

• 3 ( 6x -17)

• 17 (x -3)

• 17 (x + 3)

• -3 (-6x + 17)

Multiple Choice

Factor:

56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Multiple Choice

Factor by grouping:

4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Multiple Choice

Factor by grouping

x³ - 4x² - 4x + 16

• (x + 4)(x + 2)

• (x - 4)(x² - 4)

• (x + 4)(x² - 4)

• (x - 4)(x - 2)

Multiple Choice

Fully Factor the Following

25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Multiple Choice

Factor completely:
 $x^2-7x+12$  

•  $\left(x-4\right)\left(x-3\right)$  

•  $\left(x-2\right)\left(x-6\right)$  

•  $\left(x-1\right)\left(x-12\right)$  

•  $\left(x-5\right)\left(x-2\right)$  

Multiple Choice

Factor completely:
 $r^2+r-6$  

•  $\left(r+2\right)\left(r+3\right)$  

•  $\left(r+4\right)\left(r-7\right)$  

•  $\left(r-2\right)\left(r-3\right)$  

•  $\left(r-2\right)\left(r+3\right)$  

Multiple Choice

Factor

3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Multiple Choice

Factor completely:
 $5x^2-12x+7$  

• Not factorable

•  $\left(5x-7\right)\left(x-1\right)$  

•  $\left(7n-3\right)\left(n-6\right)$  

•  $\left(5n-8\right)\left(7n+8\right)$  

Multiple Choice

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• snaked line

• elliptical

Multiple Choice

Does the following graph have a maximum or minimum.

• Maximum
• Minimum

Multiple Choice

What are the coordinates of the y-intercept?

• (-3, 0)

• (0, -3)

• (2, 1)

• y=-3

Multiple Choice

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

Multiple Choice

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Multiple Choice

Use the picture to find the vertex and axis of symmetry

• Vertex (3,8) Axis x = 3

• Vertex (3,8) Axis y = 3

• Vertex (8,3) Axis x = 3

• Vertex (8,3) Axis y = 3

Multiple Choice

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

Multiple Choice

In order to find the vertex of an in standard form, the first two steps are to use the equation _____ to find the x value, and then you can plug that value back into the equation to find the _____.

• -b/2a, y-value

• (x-h)^2, y-intercept

• (x-r1), solution

• ax^2, vertex

Multiple Choice

What direction is the following equation opening?

y=-3x²-7x+8

• Up

• Down

• Left

• Right

Multiple Choice

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

Multiple Choice

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

Multiple Choice

• a

• b

• c

• d

Multiple Choice

• a

• b

• c

• d

Multiple Choice

• a

• b

• c

• d

Multiple Choice

Solve

(4a + 3)(4a - 3) = 0

• a = ^-3/₄, ³/₄

• a = ^-4/₃, ⁴/₃

• a = ^-9/₁₆, ⁹/₁₆

• a = ^-16/₉, ¹⁶/₉

Multiple Choice

Convert x²-9x+20 to factored form and solve.

• (x-10)(x+2); x=-2, 10

• (x+4)(x+5); x=-5, -4

• (x-4)(x-5); x=4, 5

• Not factorable

Multiple Choice

Solve using the quadratic formula.

2x² - 9x - 35 = 0

• x = 7/2, x = -6

• x = -5/2, x =5

• x = -3/7, x =6

• x = -5/2, x = 7

Multiple Choice

Solve 2x² + 7x - 15 = 0

• -1.5 or 5

• No Solution

• -5 or 1.5

• 0.7 or 5

Multiple Choice

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x = 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Multiple Choice

• A

• B

• C

• D

Multiple Choice

____________

For the function above, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

• Not Sure

Multiple Choice

____________

For the function above, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

• Not Sure

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 6x² − 2x − 3 = 0

• 76

• 29

• 68

• none of these

Multiple Choice

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

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

What are the x - intercepts of
 $y\ =2x^2\ -\ 72$  

• (16, 0) and (-16, 0)

•  $\left(3\sqrt{2},\ 0\right)\ and\ \left(-3\sqrt{2},\ 0\right)$  

• (36, 0) and (-36, 0)

• (6, 0) and (-6, 0)

Multiple Choice

Solve 2(x + 1)² = 32

• x = 4 or x = -4

• x = 29 or x = -31

• x = 15 or x = -17

• x = 3 or x = -5

Multiple Choice

Which transformation transforms the graph of

f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

Multiple Choice

Write the equation of this transformation: VC by a factor of 1/7 and up 2

• y= 7x² + 2

• y= (x+1/7)² + 2

• y= 1/7x² + 2

• y= 1/7x² - 2

Multiple Choice

Write the equation of this transformation: reflection across x-axis, left 2, down 5

• y= -(x+2)²+5

• y= -(x+2)²

• y= (x-2)²-5

• y= -(x+2)²-5

Multiple Choice

What is the range?

• -3 ≤ y < ∞

• -1 ≤ y < ∞

• All real numbers

• -∞ < y ≤ -1

Multiple Choice

What is the domain of the graph?

• All real numbers
• To infinity and beyond
• y ≥ 0
• x ≥ 0

Multiple Choice

What is the increasing interval on the function shown?

• $\left(-\infty,\ 1\right]$

• $\left(-\infty,\ 2\right]$

• $\left[2,\ \infty\right]$

• $\left[1,\ \infty\right]$

Multiple Choice

What is the decreasing interval on the function shown?

• $\left(-\infty,\ 1\right)$

• $\left(-\infty,\ 2\right)$

• $\left(2,\ \infty\right)$

• $\left(1,\ \infty\right)$