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CPM 8.1.1 to 8.1.3 Quiz Algebra 2 Honors

Total questions: 18

Worksheet time: 1hrs 17mins

Name
Class
Date
1.

 y = 2x2 + 3x  1y\ =\ 2x^2\ +\ 3x\ -\ 1  
 y = (x  3)2y\ =\ \left(x\ -\ 3\right)^2  
Which of the following point(s) is a solution to the system of inequalities ?

a)

(1, 4)

b)

(10, 49)

c)

(-1, 16)

d)

(-10, 169)

e)

(4, 1)

2.

 f(x) = 7x3 + 14x2  8xf\left(x\right)\ =\ -7x^3\ +\ 14x^2\ -\ 8x  
 f(x) = 7x3 + 14x2  8x  5f\left(x\right)\ =\ -7x^3\ +\ 14x^2\ -\ 8x\ -\ 5  

What is the difference between the two functions below?

a)

The second graph is shifted up 5 units

b)

The second graph is shifted down 5 units

c)

The second graph is shifted left 5 units

d)

The second graph is shifted right 5 units

3.

You are given the arithmetic sequence below:

-4, -11, -18, -25,...


What function represents this arithmetic sequence?

a)

f(n) = -7n - 4

b)

f(n) = 7n - 4

c)

f(n) = -7n + 3

d)

f(n) = -4n + 7

e)

f(n) = 3n - 7

4.

 sinθ = 32\sin\theta\ =\ \frac{-\sqrt{3}}{2}  

Find all angles between 0 and 360 degrees for which this statement is true.

a)

120 degrees

b)

150 degrees

c)

210 degrees

d)

240 degrees

e)

300 degrees

5.

 f(x) = 3X3 + 12 X2 + 36X?f\left(x\right)\ =\ -3X^3\ +\ 12\ X^2\ +\ 36X?  

Which is NOT a factor of the function above?

a)

-3x

b)

x - 2

c)

x + 2

d)

x - 6

6.

  5g(x)  =52x  7 when g(x) = 10x1\ 5^{g\left(x\right)\ }\ =5^{2x\ -\ 7}\ when\ g\left(x\right)\ =\ -10x-1  
Solve for x.

a)

x = 2

b)

x = -2

c)

x = 1/2

d)

x = -1/2

e)

x = 3

7.

 Graph 1: f(x) = 7x  5Graph\ 1:\ f\left(x\right)\ =\ 7^x\ -\ 5   Graph 2: y = 7x  5Graph\ 2:\ y\ =\ 7^{x\ -\ 5}  
Which of the following is (are) true?

a)

Graph 1 shifts 5 units to the right

b)

Graph 2 shifts 5 units to the right

c)

Graph 1 shifts 5 units down

d)

Graph 2 shifts 5 units down

e)

These graphs are the same.

8.

 f(x) = (x + 2)(x  3)3(x + 4)2 f\left(x\right)\ =\ -\left(x\ +\ 2\right)\left(x\ -\ 3\right)^3\left(x\ +\ 4\right)^2\   

Given the following function, which is true?

a)

The function is odd degree, and the left arrow faces up and the right arrow faces down.

b)

The function is odd degree, and the right arrow faces up and the left arrow faces down.

c)

The function is even degree, and both arrows face up.

d)

The function is even degree, and both arrows face down.

9.

For each pair of intercepts given below, write an equation for a quadratic function in standard form.

(-2, 0) and (1/3, 0)

a)

f(x) = 3x2 7x + 2f\left(x\right)\ =\ 3x^2\ -\ 7x\ +\ 2

b)

f(x) = x2 x 6f\left(x\right)\ =\ \ x^2\ -\ \ x\ -6

c)

f(x) = 3x2 + 7x + 2f\left(x\right)\ =\ 3x^2\ +\ 7x\ +\ 2

d)

f(x) = 3x2 5x 2f\left(x\right)\ =\ 3x^2\ -5x\ -\ 2

e)

f(x) = 3x2 + 5x 2f\left(x\right)\ =\ 3x^2\ +\ 5x\ -\ 2

10.

 y > 2x  1    y\ >\ \left|2x\ -\ 1\right|\ \ \ \   

   y < 2x + 7y\ <\ -2\left|x\right|\ +\ 7  

All of the following are solutions to the system of inequalities below except:

a)

(0, 5)

b)

(1, 3)

c)

(-1, 4)

d)

(0, 3)

e)

(2, 1)

11.

Which factor has an even exponent?

a)

x - 3

b)

x + 1

c)

x - 1

d)

None of these

e)

Not enough information is given

12.

The graph pictured is:

a)

an even degree function with a positive leading coefficient

b)

an even degree function with a negative leading coefficient

c)

an odd degree function with a positive leading coefficient

d)

an odd degree function with a negative leading coefficient

13.

What is the function of the polynomial pictured?

a)

f(x) = 3x(x 2)2f\left(x\right)\ =\ -3x\left(x\ -\ 2\right)^2

b)

f(x) = 2x(x 2)2f\left(x\right)\ =\ -2x\left(x\ -\ 2\right)^2

c)

f(x) =3x(x + 2)2f\left(x\right)\ =3x\left(x\ +\ 2\right)^2

d)

f(x) = 3x2(x 2)f\left(x\right)\ =\ -3x^2\left(x\ -2\right)

e)

f(x) =2x2(x 2)f\left(x\right)\ =-2x^2\left(x-\ 2\right)

14.

Write the polynomial function that has x-intercepts of (-2, 0), (1, 0) and (3, 0) and passes through the point (2, -16).

a)

f(x) = (x + 2)(x 1)(x 3)f\left(x\right)\ =\ \left(x\ +\ 2\right)\left(x\ -\ 1\right)\left(x-\ 3\right)

b)

f(x) = 4(x + 2)(x 1)(x 3)f\left(x\right)\ =\ -4\left(x\ +\ 2\right)\left(x\ -\ 1\right)\left(x-\ 3\right)

c)

f(x) = 4(x + 2)(x 1)(x 3)f\left(x\right)\ =\ 4\left(x\ +\ 2\right)\left(x\ -\ 1\right)\left(x-\ 3\right)

d)

f(x) = 4(x 2)(x + 1)(x + 3)f\left(x\right)\ =\ -4\left(x\ -\ 2\right)\left(x\ +\ 1\right)\left(x\ +\ 3\right)

15.

 log4(5x  1) = 3\log_4\left(5x\ -\ 1\right)\ =\ 3  Solve the equation. 


 Do not write x = in the answer.



(a)  

16.

 2E  4 + 7 = 11-2\sqrt{E\ -\ 4}\ +\ 7\ =\ -11  


Solve for E.  Don't put E = in the answer.  Just put the number.



(a)  

17.

 4X  1 > 12-4\left|X\ -\ 1\right|\ >\ -12  



Solve for x.

a)

 (, 2)  (4, )\left(-\infty,\ -2\right)\ \cup\ \left(4,\ \infty\right)  

b)

 (4, 2)\left(4,\ -2\right)  

c)

 (2, 4)\left(-2,\ 4\right)  

d)

 (, 4) (2, )\left(-\infty,\ -4\right)\ \cup\left(2,\ \infty\right)  

e)

No solution

18.

The following team is NOT a professional sports team representing Philadelphia.

a)

Philadelphia 76ers

b)

Philadelphia Eagles

c)

Philadelphia Phillies

d)

Philadelphia Goldendoodles