Quiz about Algebra 2 - Test 4 Review

Question 1

Find the sum.
(5x²-2x + 6) + (6x -3x²- 3)

Accepted Answer

2x² + 4x +3

Answer

3x² + 2x + 1

Answer

2x² + 5x - 7

Answer

3x²+ 4x⁵ -7x

Question 2

Find the Difference.
(4x³- 8x² + 6x - 4) - (-2x³ + x² -2 )

Accepted Answer

6X³ -9X² + 6X -2

Answer

4x² - 9x³- 2x + 6

Answer

3x + 5x²+ 1

Answer

3x + 2

Question 3

x³(2x²+3x)=

Accepted Answer

2x⁵+3x⁴

Answer

2x6+3x3

Answer

5x9

Answer

5x

Question 4

Divide:
(4n³+17n²+8n+22) by (n+4)

Accepted Answer

4n²+n+4 +6/(n+4)

Answer

4n²+2n+6+ 3/(n+4)

Answer

4n²+n+4+ 10/(n+4)

Answer

4n²+n+7 +6/(n+4)

Question 5

Divide:
(m³-93m-71) by (m-10)

Accepted Answer

m²+10m+7 - 1/(m-10)

Answer

m2+11m+5

Answer

m²+10m+7 +3/(m-10)

Answer

m²+10m+5 - 1/(m-10)

Question 6

Simplify:
(3x - 5) ( 4x² - 2x - 3)

Accepted Answer

12x³ - 26x² + x + 15

Answer

12x³ - 26x² - 25x + 15

Answer

12x³ - 20x² - 5x + 15

Answer

12x³ - 20x² - 6x + 15

Question 7

Simplify the following polynomial expression:
3x(2x² - 4x + 2) - (5x² - 7x - 8)

Accepted Answer

6x³ - 19x² + 13x + 8

Answer

x² - 19x - 2x

Answer

6x³ + 7x² - 13x + 8

Answer

5x³ - 19x² - x - 8

Question 8

A rectangle has width (2x+3) and length (2x-4). What is the perimeter of the rectangle?

Accepted Answer

8x2-2

Answer

4x2-12

Answer

4x2-1

Answer

4x2-2x-12

Question 9

Find the vertex of f(x)= -2x²-16x+3.

Accepted Answer

(-4, 35)

Answer

(4, -93)

Answer

(-4,99)

Answer

(8,3)

Question 10

If a ball if thrown into the air is represented by the function
h(t) = -16t²+80t, where t represents the time in seconds and h(t) is the height of the ball in feet. Find the time it will take to reach its maximum height.

Accepted Answer

2.5 seconds

Answer

8 mins

Answer

5 seconds

Answer

604 seconds

Question 11

If a ball if thrown into the air is represented by the function
h(t) = -16t²+80t, where t represents the time in seconds and h(t) is the height of the ball in feet. Find the height of the ball at its maximum.

Accepted Answer

100ft

Answer

240 ft

Answer

160 ft

Answer

300ft

Question 12

Which form is this equation in?
y=(x-2)(x+4)

Accepted Answer

Intercept Form

Answer

Vertex Form

Answer

Standard Form

Answer

Point-Slope Form

Question 13

Which form is this equation in?
y=(x+1)²-9

Accepted Answer

Vertex Form

Answer

Intercept Form

Answer

Standard Form

Answer

Point-Slope Form

Question 14

Which form is this equation in?
y=x²+2x-8

Accepted Answer

Standard Form

Answer

Vertex Form

Answer

Intercept Form

Answer

Point-Slope Form

Question 15

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

Accepted Answer

x = 4

Answer

x = -4

Answer

y = 4

Answer

y = -4

Question 16

Which is the equation for the axis of symmetry of y=2(x-3)(x+5)

Accepted Answer

x=-1

Answer

y=-1

Answer

y=1

Answer

x=1

Question 17

What are the x- intercepts?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 18

Write a quadratic function whose graph has a vertex at (-3,2) and another point on the graph at (-1,-18)

Accepted Answer

y=-5(x+3)²+2

Answer

-3/225(x+3)²+2

Answer

y=-5/4(x-3)²+2

Answer

-3/441(x-3)²+2

Question 19

Which of the following is NOT an equation for the graph shown?

Accepted Answer

y=(x-4)(x-2)

Answer

y=x2+6x+8

Answer

y=(x+3)²-1

Answer

y=(x+4)(x+2)

Question 20

Which equation represents a parabola that opens upward and has a y-intercept of (0,-7)

Accepted Answer

y=4x²-2x-7

Answer

y=7x2

Answer

y=-x2+7

Answer

y=3x²-7x+5

Question 21

Write y=-5(x+1)²+9 in standard form.

Accepted Answer

y=-5x²-10x+4

Answer

y=-5x2+4

Answer

y=-5x²-10x-5

Answer

cannot be written in standard form

Question 22

Which of the following is a solution to y<-2x²+16x-33.

Accepted Answer

(5,-5)

Answer

(4,-1)

Answer

(6,3)

Answer

(0,0)

Question 23

Which of the following is the inequality that represents this graph?

Accepted Answer

y < -(x+2)² +1

Answer

y < -(x-2)²+1

Answer

y > (x-2)²+1

Answer

y > -(x+2)²+1

Question 24

Which of the following is the equation for the graph shown.

Accepted Answer

y=(x-5)^1/2+2

Answer

y = -(x+5)^1/2-2

Answer

y=(x+5)^1/2+2

Answer

y=x2+3x+2

Question 25

State the domain and range for the graph shown.

Accepted Answer

D: [5,infinity)
R: [2,infinity)

Answer

D: (-infinity,5]
R: [2, infinity)

Answer

D: (2, infinity)
R: (5, infinity)

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