Free Printable Algebra 2 Retest

1.

Evaluate $k\left(-3\right)$ when $k\left(n\right)=3n^2-2n-1$

(a)

2.

Find the slope of x + 5y = 25

(a)

3.

Which of the following represents a function?

a)

b)

$x=-3$

c)

$x=5$

d)

$\left\{\left(2,4\right),\ \left(2,6\right),\ \left(3,8\right),\ \left(4,\ 10\right)\right\}$

4.

Let f(x)= -5x+6. Find x when f(x)=51

a)

-249

b)

-9

c)

7

d)

95

5.

What is the range of a linear function?

a)

$y\ge0$

b)

All real numbers

c)

$x\ge0$

d)

$\left\{y\left|y\ne0\right|\right\}$

6.

Which set of numbers does NOT contain the value below?

$\sqrt[]{3}-\sqrt[]{3}$

a)

Real

b)

Natural

c)

Integer

d)

Rational

7.

Which of the following values is considered rational?

a)

$\pi$

b)

$\sqrt[]{28}$

c)

$\sqrt[]{50}$

d)

$\sqrt[]{81}$

8.

Given the graph below, determine the domain in interval notation

a)

$\left(-\infty,\infty\right)$

b)

$\left[-2,3\right]$

c)

$\left(-2,3\right]$

d)

$\left[-2,3\right)$

9.

Use interval notation to represent $-55\le x<35$ .

a)

$\left[-55,35\right]$

b)

$\left(-55,35\right)$

c)

$\left[-55,35\right)$

d)

$\left(-55,35\right]$

10.

What set of numbers does the following number belong to? $\sqrt[]{4}$

a)

Whole Numbers, Integers, and Real Numbers

b)

Irrational Numbers and Real Numbers

c)

Natural Numbers, Whole Numbers, Integers, Rational Numbers, and Real Numbers

d)

Rational Numbers and Real Numbers

11.

Type the interval $\left[-3,\ \infty\right)$ in set notation.

a)

$x\ge-3$

b)

$x\le-3$

c)

$x>-3$

d)

$x<-3$

12.

What value is in the range but not in the domain?

a)

3

b)

-2

c)

-1

d)

0

13.

Which parent functions have a range of all real numbers?

a)

$y=x$

b)

$y=2^x$

c)

$y=\left|x\right|$

d)

$y=\sqrt[]{x}$

14.

Which functions represents $f\left(3\right)=7$

a)

$f\left(x\right)=3x+5$

b)

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

c)

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

d)

$f\left(x\right)=x^3-20$

15.

The following graph is a representation of what parent function?

a)

$y=\sqrt[3]{x}$

b)

$y=\left|x\right|$

c)

$y=x^3$

d)

$y=x^2$

16.

Which function has a range of all real numbers greater than or equal to -3?

a)

$y=x-3$

b)

$y=-3x$

c)

$y=x^3-3$

d)

$y=\left(x+2\right)^2-3$

17.

A YouTuber can predict her subscriber count using the function s(v) = 3v + 430, where v is the number of views on her new video. What is the predicted number of new subscribers if she has 5,000 new views on her video?

a)

2,379

b)

15,430

c)

30,530

d)

1,523.3

18.

Write the following number line in interval notation.

a)

$\left(-\infty,-2\right]\ \cup\left(5,\infty\right)$

b)

$\left[-\infty,-2\right]\cup\left[5,\infty\right]$

c)

$\left(-\infty,-2\right)\cup\left(5,\infty\right)$

d)

$\left[-\infty,-2\right)\cup\left[5,\infty\right]$

19.

Simplify the following expression.

$\sqrt[]{289}-\left(5-8\right)^2+384\div4^3$

a)

32

b)

14

c)

-6

d)

-12

20.

Which graph represents the equation 2x + 4y = 12?

a)

b)

c)

d)

Algebra 2 Retest

Total questions: 20

Worksheet time: 5hrs 0mins

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