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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 are the calculator instructions for the cube root function?
No because you cannot have one domain pointing at two y's or ranges
Equation of a line
X = the original sale price and the formula is x - .40x =$276
Math 4 x - graph

2. What is the range of a square root function?
Approach neg toward x through zero and above positive close to x
[0 -+infinity)
F(x^1)=f(x^2)
Yes - all the domains points to one range

3. How many ranges can you have for each domain?
2nd catalog (zero key -) abs(x) - graph
Odd
Only one
F(x)=x^3

4. What type of slope do you have when the line is horizontal and m=0?
Parabola - up one and right three
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x
Zero slope

5. What is the formula for the cube root function?
F(x)=3 square root x
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
X=a

6. What is the standard quadratic function?
0<c<1 - horizontal stretching
X^2
Y= then enter the number then press graph
2nd catalog (zero key -) abs(x) - graph

7. Is the square root function odd - even or neither?
(-infinity - +infinity)
(-infinity - +infinity)
Postiive slope
Neither

8. What type of slope do vertical lines have?
1 -2 -3
Undefined
F(x+h)-f(x)/h h cannot equal zero
Undefined slope

9. What type of slope do you have when a line rises from left to right and m>0?
Cannot be drawn in quizlet
The single number y=
Postiive slope
The first set of components of an ordered pair

10. What is the formula for to calculate the difference of a quotient function?
Even
Up
Undefined slope
F(x+h)-f(x)/h h cannot equal zero

11. What equation does every line have? Discuss the variables.
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.
Equation of a line
The opposite coordinates
As many as you like

12. What points do you use to plot the inverse on a graph?
1 -2 -3
The opposite coordinates
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x

13. Is a constant function even - odd or neither?
Negative slope
No because you cannot have one domain pointing at two y's or ranges
Even
F(x) = x

14. 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.
As many as you like
F(x)=IxI
The first set of components of an ordered pair

15. (1 -5)(2 -5)(3 -5)(4 -5) - is this a 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
Yes - all the domains points to one range
Inconsistant

16. What direction does f(x)-c move in standard absolute value formula?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Down
Set the x and y to zero and get the intercepts and then plot the points
Only one

17. What are the calculator instructions for a standard quadratic equation?
Any set of ordered pairs
Y=x^2 - graph
45 degree angle
(-infinity - +infinity)

18. What is the vertical line formula?
Conditional
Zero slope
Inconsistant
X=a

19. What is slope?
A line passing through two distinct points
The opposite coordinates
Conditional
Only one

20. How do you graph Ax+By+C=0?
2nd key - x^2 - graph
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]you[0 - +infinity)
Parraelle line

21. x=all real numbers is what type of an equation?
Identity
F(x)=3 square root x
M
A line passing through two distinct points

22. What is the domain of an identity function?
(-infinity - +infinity)
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
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
Y

23. What type of line is a constant function?
Only one
F(x)=suare root of x
Horizontal
Even

24. Draw or discuss a decreasing function
F(x2)-f(x1) / x2-x1
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
When does a graph not define y as a function of x?
Cannot be drawn in quizlet

25. Of the seven of algebra's common graph's how many are odd?
Line ascending to the right gradually
Function notation
Three odd - cube root - identity - standard cubic
Y= then enter the number then press graph

26. What type of line is a constant function?
(-infinity - +infinity)
Horizontal
X math 3 graph
2nd catalog (zero key -) abs(x) - graph

27. What is the domain for a standard quadratic function?
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero
Neither
(-infinity - +infinity)

28. What shape is the standard quadratic function?
Because the demintor of a quotient can never equal zero
Up
Parabola
The minimum or maximum points

29. What does the graph of the cube root function look like on the graph?
Down
Approach neg toward x through zero and above positive close to x
Zero slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. What are the calculator instructions for a square root function?
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
2nd key - x^2 - graph
Only one

31. Draw or discuss a constant function
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x
X math 3 graph
Perpendicular line

32. What does the average rate of change formula solve?
The slope of a line containing two points
Parabola
Perpendicular line
F(x) = x

33. What is the formula in both horizontal stretching and horizontal shrinking?
Y=x^2 - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x+c) and f(x-c)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

34. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
F(x)=+c and f(x)-c
Undefined
Conditional
1 -2 -3

35. What does the standard cubic function look like on a graph?
2nd key - x^2 - graph
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
Y= then enter the number then press graph
Mirror image neg quadrant to that of the positive quandrant

36. What is the standard quadratic function?
X^2
(-infinity - +infinity)
Inconsitent
The minimum or maximum points

37. What is the average rate of change formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Odd
F(x2)-f(x1) / x2-x1
F(x)=IxI

38. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the 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
Even
The opposite coordinates
Identity

39. What can we substitute for f(x)?
Approach neg toward x through zero and above positive close to 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.
Even
Y

40. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
F(x)=x^3
Parraelle line

41. How do you calculate a constant function in your calculator?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
Y= then enter the number then press graph
Negative inverse

42. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Even
Y=x - identity function
X math 3 graph

43. How would this formula move f(x)=(x+1)^2-3
Function notation
Parabola - up one and right three
X=a
X math 3 graph

44. What is the vertex?
Piecewise
A V
The minimum or maximum points
[0 -+infinity)

45. 4(x-7)=4x-28 is what type of an equation?
Line ascending to the right gradually
(-infinity - +infinity)
The single number y=
Identity

46. Draw or discuss an increasing function
Odd
Parabola - up one and right three
Piecewise
Cannot be drawn in quizlet

47. What is the letter used to represent slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x+c) and f(x-c)
M
F(x)=suare root of x

48. What is the domain of a square root function?
(-infinity - +infinity)
X=a
1 -2 -3
[0 -+infinity)

49. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
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
The secant line

50. What is the range for a standard quadratic function?
M
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges