Free Printable Quiz 3.1-3.3

1.

What is the degree of

f\left(x\right)=2x^3-3x^2+4x-10?

(a)

2.

State the maximum number of turns the graph of

f\left(x\right)=-2x^5-3x^4+2x^2+10

could make.

(a)

3.

What is the y-intercept of

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

a)

$\left(-1,0\right)$

b)

$\left(0,-1\right)$

c)

$\left(-3,0\right)$

d)

$\left(0,-3\right)$

4.

In the polynomial function $p\left(x\right)\ =\ 6x^5+4x^4+3x^3+x^2+7$ , what is the leading coefficient?

(a)

5.

Identify the end behavior:

a)

The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞

b)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞

c)

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→-∞

d)

The end behavior of the graph is The end behavior of the graph is x →∞,y→⁻∞ and x→∞, y→⁻∞

6.

Simplify:

\left(10+15i\right)-\left(48-30i\right)

a)

$58-45i$

b)

$58-15i$

c)

$-38-15i$

d)

$-38+45i$

7.

Simplify:

\left(7+2i\right)\left(9-6i\right)

a)

$75-24i$

b)

$63-24i-12i^2$

c)

$51-24i$

d)

$58+60i$

8.

Simplify (your final answer does not have to be in $a+bi$ form)

\frac{5+4i}{5-6i}

a)

$\frac{-10+6i}{17}$

b)

$\frac{1+50i}{61}$

c)

$\frac{-23+36i}{25}$

d)

$\frac{-21+33i}{34}$

9.

Simplify $i^{23}$

(a)

10.

What is the complex conjugate of $4-3i?$

(a)

11.

A complex number can be expressed as a + bi. What is the imaginary part of the complex number?

a)

a

b)

b

c)

bi

d)

the part that you cannot see

12.

Solve $x^2-4x+5=0$ for $x.$

a)

$x=-4,\ \ x=-1$

b)

$x=-1,\ x=5$

c)

$x=2+i,\ x=2-i$

d)

$x=-2+i,\ x=-2-i$

13.

Given the equation $y=3\left(x+5\right)^2-4$ what is the vertex of the parabola?

(a)

14.

Does the parabola $y=-\left(x-4\right)^2-3$ have a minimum or maximum value?

(a)

15.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

symmetrical point for the vertex

16.

Identify the vertex and whether the graph opens up or down of $f\left(x\right)=\frac{1}{4}\left(x+5\right)^2+2.$

a)

$\left(5,2\right);$ opens up

b)

$\left(5,2\right);$ opens down

c)

$\left(-5,2\right);$ opens up

d)

$\left(-5,2\right);$ opens down

17.

What do we call the $f\left(x\right)=ax^2+bx+c$ form of a quadratic?

(a)

18.

Find the range of the function $y=-2\left(x+4\right)^2+7.$

a)

$\left(-\infty,-4\right]$

b)

$\left(-\infty,7\right]$

c)

$\left[7,\infty\right)$

d)

$\left[-4,\infty\right)$

19.

Write the complex number shown in the graph.

(a)

20.

Evaluate $\left(\sqrt{-12}-\sqrt{-3}\right)\left(3+\sqrt{-4}\right)$ and express in the form a+bi.

a)

$-2\sqrt{3}+3i\sqrt{3}$

b)

$2\sqrt{3}+3i\sqrt{3}$

c)

$-2\sqrt{3}-3i\sqrt{3}$

d)

$2\sqrt{3}-3i\sqrt{3}$

Quiz 3.1-3.3

Total questions: 20

Worksheet time: 2hrs 31mins

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