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Worksheets

Functions and Absolute Value Concepts

Total questions: 25

Worksheet time: 25mins

Name
Class
Date
1.

Given f(x)= 4x+3 and g(x)= x-2 find (f*g)(-2):

a)

-20

b)

-9

c)

20

d)

-9

2.

Given f(x)= 4x+3 and g(x)= x-2 find (f+g)(-2):

a)

-20

b)

-9

c)

20

d)

9

3.

HOW MANY ANSWERS DOES AN ABSOLUTE VALUE HAVE?

a)

One

b)

TWO (positive negative)

c)

Two (fraction and whole number)

4.

Which is the correct formula for solving absolute value word problems?

a)

|x+C|=r

b)

|x-r|=C

c)

|x+r|=C

d)

|x-C|=r

5.

When the discriminant equals 0 you have:

a)

Two Real Solutions

b)

One Real Solution

c)

Two Imaginary Solutions

6.

When the discriminant equals a positive number you have:

a)

Two Real Solutions

b)

One Real Solution

c)

Two Imaginary Solutions

7.

When the discriminant equals a negative number you have:

a)

Two Real Solutions

b)

One Real Solution

c)

Two Imaginary Solutions

8.

When making the equation |x-C|=r, the C stands for (a)   while the r stands for range

9.

When graphing inequalities, "<" would mean to shade...

(a)  

10.

When graphing inequalities, ">" would mean to shade...

(a)  

11.

4(1−2i)−(3+6i)+(8−3i)

a)

9+20i

b)

9+15i

c)

7+11i

d)

9-17i

12.

When you have a negative in front of the square root, it means reflection across the...

a)

x-axis

b)

y-axis

13.

When you have a negative inside of the square root, it means reflection across the...

a)

x-axis

b)

y-axis

14.

A +h means a transformation of shifting to the....

a)

right

b)

left

c)

down

d)

up

15.

A +k means a transformation of shifting to the....

a)

right

b)

left

c)

down

d)

up

16.

When solving absolute value equations, the first step is always to...

a)

Isolate the absolute value

b)

Make two versions, one positive and one negative

c)

Solve for x right away

17.

How much is 7/2 + 3/2 ?

a)

3

b)

2

c)

4

d)

5

18.

What is the quadratic equation if the solutions are x= -5 and x= 2

a)

(x - 5) (x + 2)

b)

(x - 5) (x - 2)

c)

(x + 5) (x + 2)

d)

(x + 5) (x - 2)

19.

The coordinate (0, 24) is a solution to the equation...

a)

(x - 3)(x + 4)

b)

2(x - 3)(x - 4)

c)

(x - 3)(x - 4)

d)

2(x + 3)(x - 4)

20.

Definition: switching x and y and solving for y

a)

Domain

b)

Range

c)

Inverse

d)

One to One

21.

Definition: All x values (left to right)

a)

Domain

b)

Range

c)

Inverse

d)

One to One

22.

Definition: there is exactly one y value for every x (not a parabola or absolute value)

a)

Domain

b)

Range

c)

Inverse

d)

One to One

23.

Which is the correct way to input a matrix in the calculator?

a)

Menu 7 5 Menu 1 7 1

b)

Menu 7 5 Menu 1 1 7

c)

Menu 5 7 Menu 1 7 1

d)

Menu 7 5 Menu 7 1 1

24.

What is the correct way to graph the equation x - y = 3

a)

y = x + 3

b)

y = -x - 3

c)

y = x- 3

d)

y = -x + 3

25.

Write an equation for this situation: If Liam decides to use two times as much of z as x.

a)

z= 2x

b)

x= 2z

c)

z= 1/2x

d)

x= 1/2z