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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 formula for an identity function?
A line passing through two distinct points
C>1 - horizontal shrinking
F(x) = x
Even

2. What type of slope do you have when a line rises from left to right and m>0?
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
Three odd - cube root - identity - standard cubic
Even
Postiive slope

3. Is an absolute value function even - odd or neither?
X = the original sale price and the formula is x - .40x =$276
Same
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

4. Is a standard quadratic function even - odd or neither?
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.
Even
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle

5. x=no real numbers is what type of an equation?
Yes because two x's or domains can point to one y
Down
Inconsistant
Y

6. What is the domain for the standard cubic function?
Yes - all the domains points to one range
(-infinity - +infinity)
The secant line
X^2

7. What are the calculator instructions for a standard quadratic equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola - up one and right three

8. Is an absolute value function even - odd or neither?
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.
Function notation
[0 -+infinity)

9. What is the slope intercept formula? Define all the variables.
Math 4 x - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X^2
F(x+c) and f(x-c)

10. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The second set of components of an ordered pair
Perpendicular line

11. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
Odd

12. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
The single number y=
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.
F(x+c) and f(x-c)

13. What is the slope of a perpendicular line?
F(x)=3 square root x
(-infinity - +infinity)
Negative inverse
Y= then enter the number then press graph

14. Which direction does f(x)=+c move in standard absolute value formula?
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000
Up
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal

15. How are functions normally written?
As equations
In a quotient
X=a
(-infinity - +infinity)

16. What is the vertical line formula?
X^2
When does a graph not define y as a function of x?
X=a
2nd key - x^2 - graph

17. Draw or discuss an increasing function
Parabola
F(x^1)=f(x^2)
F(x^1)=f(x^2)
Cannot be drawn in quizlet

18. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Y=IxI
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.
When does a graph not define y as a function of x?

19. What type of function would you use to calculate the most advantageous cell phone plan?
20+.05x=5+.10x x=minutes
M
Piecewise
As equations

20. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Parabola - up one and right three
Function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

21. What type of slope do horizontal lines have?
(-infinity - +infinity)
The first set of components of an ordered pair
Same
The opposite coordinates

22. f(x) = x^2+3x+5 - what type of formula is this?
A line passing through two distinct points
Horizontal
(-infinity - +infinity)
Function notation

23. standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
F(x)=+c and f(x)-c
Yes - all the domains points to one range
X = the original sale price and the formula is x - .40x =$276

24. 4(x-7)=4x+28 is what type of an equation?
In a quotient
Yes because two x's or domains can point to one y
Inconsitent
Identity

25. What is the domain for an absolute value function?
Any set of ordered pairs
The minimum or maximum points
Inconsistant
(-infinity - +infinity)

26. What can we substitute for f(x)?
Y=x - identity function
Odd
Y
The second set of components of an ordered pair

27. What is the domain for the standard cubic function?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A V
20+.05x=5+.10x x=minutes

28. What is the formula for the standard cubic function?
F(x)=x^3
(-infinity - +infinity)
Cannot be drawn in quizlet
F(x2)-f(x1) / x2-x1

29. A flat line underlining one vertical line is a symbol for...
As many as you like
Undefined
F of g and g of f
Perpendicular line

30. How many ranges can you have for each domain?
Only one
Y=10
Yes - all the domains points to one range
M

31. What are the four steps for solving a linear equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
Horizontal
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.

32. What type of line is an 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.
Odd
Yes because two x's or domains can point to one y
45 degree angle

33. What is the formula in both horizontal stretching and horizontal shrinking?
Up
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]you[0 - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

34. What does the graph of the cube root function look like on the graph?
[0 -+infinity)
Approach neg toward x through zero and above positive close to x
X is the hours to repair the boat. $1603-532=anwser/63 = x
The minimum or maximum points

35. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Y= then enter the number then press graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
X = the original sale price and the formula is x - .40x =$276
No because you cannot have one domain pointing at two y's or ranges

36. What does linear equation mean?
Equation of a line
Even
Piecewise
Cannot be drawn in quizlet

37. What does the square root function look like on a graph?
F(x^1)=f(x^2)
Set the x and y to zero and get the intercepts and then plot the points
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000
Line ascending to the right gradually

38. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Function notation

39. What can we substitute for f(x)?
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
Y
X^2

40. What is a domain?
The first set of components of an ordered pair
(-infinity - +infinity)
X math 3 graph
Down

41. What is the horizontal line formula?
Set the x and y to zero and get the intercepts and then plot the points
Parabola
Y=b
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

42. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
A V
Up
Horizontal

43. What is the vertex?
The minimum or maximum points
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
As many as you like

44. What is an identity function?
Yes because two x's or domains can point to one y
Odd
45 degree angle
Cannot be drawn in quizlet

45. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
F(x)=suare root of x
Y=10
Down
X is the hours to repair the boat. $1603-532=anwser/63 = x

46. What is an identity function?
Undefined
Cannot be drawn in quizlet
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

47. What is the domain of an identity function?
(-infinity - +infinity)
M
2nd key - x^2 - graph
M

48. What is the domain of an identity function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Conditional
As many as you like

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

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50. What points do you use to plot the inverse on a graph?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The opposite coordinates
Even
Y=x - identity function