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College Algebra Test

Subjects : math, algebra

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. What is the domain for an absolute value function?
F of g and g of f
As equations
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

2. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
When does a graph not define y as a function of x?
Yes - all the domains points to one range
20+.05x=5+.10x x=minutes
Zero slope

3. What are the calculator instructions for the standard cubic function?
Any set of ordered pairs
The secant line
Horizontal right
X math 3 graph

4. x^2+y=4 is this a function? Why?

5. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Undefined
Even
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.

6. What is the letter used to represent slope?
M
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
45 degree angle
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.

7. What type of function would you use to calculate the most advantageous cell phone plan?
Y=IxI
Piecewise
Because the demintor of a quotient can never equal zero
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.

8. What is the formula for an identity function?
Line ascending to the right gradually
F(x) = x
F(x)=suare root of x
Horizontal right

9. When is the only time (-infinity - +infinity) is not the domain?
F(x)=suare root of x
In a quotient
[0 -+infinity)
X=a

10. What is an identity function?
45 degree angle
Y=x^2 - graph
Neither
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.

11. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Up
X math 3 graph
X^2

12. What is the slope of a perpendicular line?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
Negative inverse

13. 4(x-7)=4x+28 is what type of an equation?
Down
In a quotient
F(x)=IxI
Inconsitent

14. When is the only time (-infinity - +infinity) is not the domain?
Cannot be drawn in quizlet
In a quotient
The opposite coordinates
Only one

15. 4(x-7)=4x-28 is what type of an equation?
Three odd - cube root - identity - standard cubic
X is the hours to repair the boat. $1603-532=anwser/63 = x
2nd catalog (zero key -) abs(x) - graph
Identity

16. What is the range for a standard quadratic function?
0<c<1 - horizontal stretching
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]you[0 - +infinity)
F(x)=3 square root x

17. What is the formula for the square root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=suare root of x
Y=x^2 - graph
Postiive slope

18. What is the range of an identity function?
F(x+c) and f(x-c)
(-infinity - +infinity)
Up
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

19. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The slope of a line containing two points
The secant line

20. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Undefined slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
Postiive slope

21. How would this formula move f(x)=(x+1)^2-3
Neither
Parabola - up one and right three
Undefined
Y

22. 4x+5x=8x is what type of an equation?
Even
In a quotient
When does a graph not define y as a function of x?
Conditional

23. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes

24. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
The secant line
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

25. What is the range of an identity function?
(-infinity - +infinity)
Even
Square Root
F(x) = x

26. What are the four steps for solving a linear equation?
Absolute Value - Constant and Standard Quadratic
Remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x+c) and f(x-c)

27. What shape is the standard quadratic function?
2nd catalog (zero key -) abs(x) - graph
Parabola
Three odd - cube root - identity - standard cubic
F(x)=x^3

28. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Function notation
Yes - all the domains points to one range
Undefined
Odd

29. What does the absolute value function look like?
A V
The opposite coordinates
M
Piecewise

30. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
F(x)=3 square root x
4 -6 -9
1 -2 -3
Negative inverse

31. In an identity function if f(10)=x than What is y?
Y=10
The first set of components of an ordered pair
Y=x - identity function
Cannot be drawn in quizlet

32. What is the formula for the square root function?
F(x)=3 square root x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Any set of ordered pairs
F(x)=suare root of x

33. What type of line is a constant function?
(-infinity - +infinity)
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
Horizontal
(-infinity - +infinity)

34. y^2+x=4 is this a function? Why?

35. Is a constant function even - odd or neither?
4 -6 -9
Even
(-infinity - +infinity)
(-infinity - +infinity)

36. What are the calculator instructions for a square root function?
As many as you like
0<c<1 - horizontal stretching
2nd key - x^2 - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

37. What is the domain for the standard cubic function?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Negative slope

38. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Identity
Y=x - identity function

39. What is the range for the standard cubic function?
X2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
X^2
(-infinity - +infinity)

40. What is the formula for the standard cubic function?
The first set of components of an ordered pair
2nd key - x^2 - graph
Cannot be drawn in quizlet
F(x)=x^3

41. What is the domain of a square root function?
[0 -+infinity)
Yes because two x's or domains can point to one y
Up
Approach neg toward x through zero and above positive close to x

42. Of the seven of algebra's common graph's how many are odd?
Line ascending to the right gradually
No because you cannot have one domain pointing at two y's or ranges
Three odd - cube root - identity - standard cubic
(-infinity - 0]you[0 - +infinity)

43. What is a constant function?
(-infinity - +infinity)
Down
F(x)=3 square root x
F(x^1)=f(x^2)

44. What are the algebra of functions?
Equation of a line
(-infinity - 0]you[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=suare root of x

45. What is the formula for an absolute value function?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
2nd key - x^2 - graph
F(x)=IxI

46. Which direction does f(x+c) move
Inconsistant
(-infinity - +infinity)
Horizontal left
(-infinity - +infinity)

47. What type of slope do vertical lines have?
F(x^1)=f(x^2)
(-infinity - +infinity)
Conditional
Undefined

48. What is a domain?
The first set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle
A line passing through two distinct points

49. What is the domain of the cube root function?
F(x^1)=f(x^2)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x - identity function
(-infinity - +infinity)

50. What is the range of the cube root function?
Y=10
Identity
In a quotient
(-infinity - +infinity)