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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 type of line is a constant function?
Horizontal
(-infinity - 0]you[0 - +infinity)
Y=IxI
X^2

2. x=all real numbers is what type of an equation?
Identity
Yes because two x's or domains can point to one 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.
(-infinity - +infinity)

3. Is a standard quadratic function even - odd or neither?
Piecewise
Even
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
Any set of ordered pairs

4. What type of slope do you have when the line is horizontal and m=0?
The minimum or maximum points
As many as you like
Zero slope
Cannot be drawn in quizlet

5. What is the formula for the cube root function?
F(x)=3 square root x
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]you[0 - +infinity)
Y=x - identity function

6. What does linear equation mean?
Equation of a line
F(x)=3 square root x
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.
(-infinity - +infinity)

7. What is a range?
Approach neg toward x through zero and above positive close to x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Neither
The second set of components of an ordered pair

8. What equation does every line have? Discuss the variables.
The secant line
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.
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

9. What does the average rate of change formula solve?
Y=10
The slope of a line containing two points
Piecewise
Perpendicular line

10. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Conditional
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.
Same

11. What does the absolute value function look like?
X is the hours to repair the boat. $1603-532=anwser/63 = x
A V
Inconsistant
X math 3 graph

12. What are the calculator instructions for a standard quadratic equation?
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]you[0 - +infinity)
Y=x^2 - graph

13. What are two examples of composit functions?
Undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F of g and g of f

14. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
F(x^1)=f(x^2)
Inconsistant
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.

15. What type of slope do horizontal lines have?
Absolute Value - Constant and Standard Quadratic
Parabola - up one and right three
F(x2)-f(x1) / x2-x1
Same

16. What is the formula for the square root function?
F(x) = x
[0 -+infinity)
Approach neg toward x through zero and above positive close to x
F(x)=suare root of x

17. What does the standard cubic function look like on a graph?
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Mirror image neg quadrant to that of the positive quandrant
Horizontal right

18. What does the absolute value function look like?
A V
F(x) = x
A line passing through two distinct points
45 degree angle

19. y=f(cx) What does this formula represent?
The single number y=
Undefined
Mirror image neg quadrant to that of the positive quandrant
0<c<1 - horizontal stretching

20. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Horizontal
(-infinity - +infinity)
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.

21. What is the domain for an absolute value function?
X math 3 graph
Same
Even
(-infinity - +infinity)

22. What is the domain for the standard cubic function?
As many as you like
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
No because you cannot have one domain pointing at two y's or ranges

23. Two vertical lines side by side are a symbol for what
Negative inverse
(-infinity - +infinity)
Y= then enter the number then press graph
Parraelle line

24. What is the formula in both horizontal stretching and horizontal shrinking?
F(x)=IxI
Piecewise
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Negative slope

25. Is an absolute value function even - odd or neither?
F(x)=IxI
20+.05x=5+.10x x=minutes
Even
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

26. How many ranges can you have for each domain?
Neither
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
Even
Only one

27. 4(x-7)=4x+28 is what type of an equation?
Parraelle line
In a quotient
Change in y / change in x = rise / run = y2-y1 / x2-x1
Inconsitent

28. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x+c) and f(x-c)
0<c<1 - horizontal stretching
F(x)=3 square root x

29. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
The opposite coordinates

30. What is the range of the constant function?
Up
The single number y=
4 -6 -9
Same

31. What is the vertex?
2nd key - x^2 - graph
Function notation
F(x)=+c and f(x)-c
The minimum or maximum points

32. Is the square root function odd - even or neither?
The single number y=
Mirror image neg quadrant to that of the positive quandrant
Any set of ordered pairs
Neither

33. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Negative inverse
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
No because you cannot have one domain pointing at two y's or ranges

34. What is the standard quadratic function?
Y=b
X^2
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.
X math 3 graph

35. What is the slope intercept formula? Define all the variables.
X=a
F(x) = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet

36. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
[0 -+infinity)
Y=10
A line passing through two distinct points

37. What does the graph of the cube root function look like on the graph?
Identity
Approach neg toward x through zero and above positive close to x
Piecewise
M

38. What can we substitute for f(x)?
Y
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Y= then enter the number then press graph

39. What is a function?
Negative slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
As equations
Cannot be drawn in quizlet

40. What is the formula for an absolute value function?
Horizontal left
Set the x and y to zero and get the intercepts and then plot the points
Horizontal
F(x)=IxI

41. Why can h not equal zero in the difference of a quotient function formula?
Math 4 x - graph
[0 -+infinity)
Even
Because the demintor of a quotient can never equal zero

42. What equation does every line have? Discuss the variables.
Y=x^2 - graph
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.
(-infinity - +infinity)
Cannot be drawn in quizlet

43. Is the square root function odd - even or neither?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Neither
X2-x1 because the demonaitor of a quotient can never equal zero

44. When is the only time (-infinity - +infinity) is not the domain?
Piecewise
Y=IxI
(-infinity - +infinity)
In a quotient

45. What does the square root function look like on a graph?
Up
0<c<1 - horizontal stretching
F(x2)-f(x1) / x2-x1
Line ascending to the right gradually

46. What are the steps for solving a word problem?
(-infinity - +infinity)
F of g and g of f
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
Y=x^2 - graph

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

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48. What are the four steps for finding the inverse of a function?
Conditional
X=a
When does a graph not define y as a function of x?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

49. What are two examples of composit functions?
The single number y=
F of g and g of f
Horizontal
Y=10

50. In an identity function if f(10)=x than What is y?
Y=10
Y=x^2 - graph
45 degree angle
Same