Algebra 2 Midterm Review

Algebra 2 Midterm Review

Multiple Choice

When you add a number to

$$y=x$$ .......the graph does what?

• shifts left

• shifts right

• shifts up

• shifts down

Multiple Choice

When you subtract a number from

$$y=x$$  ...the graph does what?

• shifts right

• shifts left

• shifts up

• shifts down

Multiple Choice

Given 5x-1, translate the equation down 4 units.

• 5x-4

• 5x-5

• 5x+3

• 5x+4

Multiple Choice

Given 3x+3, translate the equations 2 units left.

• 3x-2

• 3x+1

• 3x-3

• 3x+9

Multiple Choice

Find the slope

• -5/3
• -3/5
• 5/3
• 3/5

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Multiple Choice

Write the equation of the graph in slope-intercept form

• $$y=-2x-4$$

• $$y=2x\ -\ 4$$

• $$y=\frac{1}{2}x-4$$

• $$y=-\frac{1}{2}x-4$$

Multiple Choice

Find the slope of the line that passes through: 
(2, 4) and (6, 12)

• 1/2
• -1/2
• 2
• -2

Draw

Graph the y=(x+4)(x-2)

Draw

Graph the y=(x+1)(x+3)

Multiple Choice

What's the axis of symmetry of y = 3x² - 6x + 4

• x=1
• x=-6
• x=2
• x=-1

Multiple Choice

Find the axis of symmetry for
f(x) = x²- 8x + 15.

• x = -4
• x = 4
• y = 4
• y = -4

Multiple Choice

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Multiple Choice

Find the vertex of f(x)= -2x²-16x+3.

• (4, -93)
• (-4, 35)
• (-4,99)
• (8,3)

Multiple Choice

What is the equation of the graph?

The vertex is (1,3) and a point at (4,21).

• $$y=-2\left(x-1\right)^2+3$$  

• $$y=2\left(x-1\right)^2+3$$  

• $$y=\frac{1}{400}\left(x-1\right)^2+3$$  

• $$y=-\frac{1}{400}\left(x-1\right)^2+3$$

Multiple Choice

Simplify.

• -5i
• 5
• 5i
• -5

Multiple Choice

i²

• 1

• i

• -1

• -i

Multiple Choice

(2i)(3i)

• 5i
• -5
• 6i²
• -6

Multiple Choice

Multiply: 
(4 – 3i)(-7 – 2i)

• A.  -23 + 13i
• B.  -23 - 29i
• C.  -34 + 13i
• D.  -34 - 29i

Multiple Choice

The formula we use for the discriminant is

• $$-b\ +\ \sqrt{b^2}-\ 4ac$$

• $$\frac{-b\ \pm\ \sqrt{b^2-4ac}}{2a}$$

• $$\sqrt{b^2-4ac}$$

• $$\sqrt{b^2\ +4ac}$$

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

If the discriminant is equal to 0, how many solutions are there?

• No real solutions

• 1 Real Solution

• 2 Real Solutions

• Infinite solutions

Multiple Choice

Determine the degree of x⁵+4x³-3x⁶+4

• 5th degree

• 3rd degree

• zero degree

• 6th degree

Multiple Choice

Which of the following is a 5th degree trinomial with a leading coefficient of -2? 

• -2x⁵ + 3x - 1
• 5x^-2 +3x - 1
• -2x⁵ + 3x⁴ + 2x³ + x² - 10
• 2x + 5

Multiple Choice

What is the leading coefficient? 
f(x)=5x²+3x³-2x+1

• 5
• 3
• -2
• 1

Multiple Choice

Find the product:
(x−5)²

• x² +10x+25
• x² − 25
• x² −10x+25
• x² +25

Multiple Choice

Factor completely:
y² - 7y + 12

• (y - 3) (y - 4)
• (y + 3) (y - 4)
• (y + 3) (y + 4)
• (y - 2) (y - 6)

Multiple Choice

Factor completely:
x² - 5x + 3

• (x + 3) (x + 1)
• (x - 3) (x - 1)
• prime
• (x - 3) (x + 1)

Multiple Choice

Factor completely:
4x² - 121

• (2x + 11) (11 - 2x)
• (2x - 11) (2x - 11)
• (2x + 11) (2x + 11)
• (2x + 11) (2x - 11)

Multiple Choice

Factor completely:
169 - 9x²

• -1(3x + 13) (3x - 13)
• (3x + 13) (3x - 13)
• (3x + 13) (-3x - 13)
• -1(3x - 13) (3x - 13)

Multiple Choice

Factor completely:
2x² + 7x + 6

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