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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 shape is the standard quadratic function?
Y=10
The single number y=
As many as you like
Parabola

2. What equation does every line have? Discuss the variables.
Conditional
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.
Yes - all the domains points to one range
Y=x - identity function

3. What is the range for a standard quadratic function?
Down
(-infinity - 0]you[0 - +infinity)
45 degree angle
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

4. What is a constant function?
Piecewise
(-infinity - +infinity)
(-infinity - +infinity)
F(x^1)=f(x^2)

5. What is the vertex?
Three odd - cube root - identity - standard cubic
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph
The minimum or maximum points

6. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
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.
2nd key - x^2 - graph
Horizontal

7. What is the point slope formula and when do you use it?
X2-x1 because the demonaitor of a quotient can never equal zero
Negative slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]you[0 - +infinity)

8. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Conditional
Yes because two x's or domains can point to one y
F(x)=x^3

9. Is an identity function even - odd or neither?
Odd
(-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
Inconsistant

10. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
F(x+h)-f(x)/h h cannot equal zero
F(x)=suare root of x
45 degree angle

11. What is the formula for an absolute value function?
F(x)=IxI
Parraelle line
(-infinity - +infinity)
Negative slope

12. What are the algebra of functions?
(-infinity - +infinity)
As equations
In a quotient
(f+g) - (f-g) - (fg) - (f/g) all of x

13. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Down
Math 4 x - graph
Mirror image neg quadrant to that of the positive quandrant

14. What is the formula for an identity function?
Identity
4 -6 -9
F(x) = x
Line ascending to the right gradually

15. How are functions normally written?
C>1 - horizontal shrinking
As equations
Odd
Math 4 x - graph

16. Is the square root function odd - even or neither?
Neither
The single number y=
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal right

17. What is the slope of a perpendicular line?
F(x)=IxI
Negative inverse
As equations
Inconsitent

18. When is the only time (-infinity - +infinity) is not the domain?
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.
4 -6 -9
(-infinity - 0]you[0 - +infinity)
In a quotient

19. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
Parabola - up one and right three

20. What is another way to write f(x)=x - what type of function is this?
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph
Horizontal
Y=x - identity function

21. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
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
20+.05x=5+.10x x=minutes

22. How are functions normally written?
Odd
Parabola - up one and right three
The slope of a line containing two points
As equations

23. What is the range of an identity function?
Set the x and y to zero and get the intercepts and then plot the points
The opposite coordinates
F(x)=3 square root x
(-infinity - +infinity)

24. Draw or discuss an increasing function
F(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant

25. What is the domain of an identity function?
F(x2)-f(x1) / x2-x1
0<c<1 - horizontal stretching
(-infinity - +infinity)
Identity

26. What type of line is an identity function?
2nd catalog (zero key -) abs(x) - graph
Piecewise
Down
45 degree angle

27. What is the domain of a square root function?
[0 -+infinity)
Identity
F(x^1)=f(x^2)
Function notation

28. What can we substitute for f(x)?
Because the demintor of a quotient can never equal zero
Y
Math 4 x - graph
X math 3 graph

29. How many domains can you have pointing to one range?
Even
(-infinity - +infinity)
As many as you like
In a quotient

30. How do you calculate a constant function in your calculator?
X=a
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph
(-infinity - +infinity)

31. What are the calculator instructions for a standard quadratic equation?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
(-infinity - +infinity)
Y=x^2 - graph

32. What is the slope of a perpendicular line?
No because you cannot have one domain pointing at two y's or ranges
Only one
Negative inverse
Even

33. What is the formula for slope?
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes - all the domains points to one range

34. What is the slope intercept formula? Define all the variables.
Square Root
Any set of ordered pairs
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

35. What is the formula for the cube root function?
F(x)=3 square root x
F(x)=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
Three odd - cube root - identity - standard cubic

36. What are the calculator instructions for a standard quadratic equation?
F(x+c) and f(x-c)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x^2 - graph
C>1 - horizontal shrinking

37. What does the absolute value function look like?
Math 4 x - graph
(-infinity - +infinity)
A V
(-infinity - +infinity)

38. Is an identity function even - odd or neither?
Y=x^2 - graph
45 degree angle
Because the demintor of a quotient can never equal zero
Odd

39. 4(x-7)=4x-28 is what type of an equation?
Identity
Only one
Cannot be drawn in quizlet
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

40. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant

41. standard absolute value - horizontal shift formulas for left and right
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
X = the original sale price and the formula is x - .40x =$276
F(x+c) and f(x-c)
F(x^1)=f(x^2)

42. A flat line underlining one vertical line is a symbol for...
Math 4 x - graph
In a quotient
Y=x - identity function
Perpendicular line

43. What is an identity function?
(-infinity - +infinity)
45 degree angle
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

44. What does the square root function look like on a graph?
Odd
Line ascending to the right gradually
F(x)=3 square root x
Parabola

45. What is the range for the standard cubic function?
Y= then enter the number then press graph
(-infinity - +infinity)
Horizontal left
[0 -+infinity)

46. What are the four steps for solving a linear equation?
Because the demintor of a quotient can never equal zero
The opposite coordinates
The secant line
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.

47. What is the domain of the cube root function?
Y=b
Identity
Only one
(-infinity - +infinity)

48. 4x+5x=8x is what type of an equation?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional
C>1 - horizontal shrinking
Cannot be drawn in quizlet

49. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Parabola
2nd catalog (zero key -) abs(x) - graph
Down

50. Why can h not equal zero in the difference of a quotient function formula?
Negative slope
Square Root
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)

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College Algebra Test

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