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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. y=f(cx) - What does this formula represent?
X is the hours to repair the boat. $1603-532=anwser/63 = x
C>1 - horizontal shrinking
4 -6 -9
Y=b

2. What does the standard cubic function look like on a graph?
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
[0 -+infinity)
Negative slope
Mirror image neg quadrant to that of the positive quandrant

3. What is the vertical line formula?
X=a
Undefined
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
(-infinity - +infinity)

4. What type of slope do you have when m=? and the line is vertical?
[0 -+infinity)
Even
Undefined slope
Function notation

5. What is the formula for an absolute value function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Same
Y=x^2 - graph
F(x)=IxI

6. x= a real number is what type of equation?
The secant line
The secant line
M
Conditional

7. How many domains can you have pointing to one range?
Any set of ordered pairs
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
As many as you like

8. 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
Cannot be drawn in quizlet
Zero slope
M

9. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x)=3 square root x
Identity
X = the original sale price and the formula is x - .40x =$276
F(x)=suare root of x

10. What does the standard cubic function look like on a graph?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle
As equations
Mirror image neg quadrant to that of the positive quandrant

11. What direction does f(x)-c move in standard absolute value formula?
Down
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Parabola

12. x= a real number is what type of equation?
Even
Conditional
Only one
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

13. What is the point slope formula and when do you use it?
(-infinity - +infinity)
Y=b
In a quotient
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

14. Which direction does f(x)=+c move in standard absolute value formula?
[0 -+infinity)
Y=x - identity function
Up
Undefined slope

15. What is the horizontal line formula?
Parabola
Identity
Even
Y=b

16. What is the range of the cube root function?
(-infinity - +infinity)
Odd
No because you cannot have one domain pointing at two y's or ranges
F(x)=+c and f(x)-c

17. What can we substitute for f(x)?
Cannot be drawn in quizlet
Parabola - up one and right three
Y
Cannot be drawn in quizlet

18. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
X^2
Inconsitent
Set the x and y to zero and get the intercepts and then plot the points
4 -6 -9

19. What is a domain?
F(x)=x^3
Three odd - cube root - identity - standard cubic
The first set of components of an ordered pair
F(x2)-f(x1) / x2-x1

20. What is the vertex?
The minimum or maximum points
The single number y=
Postiive slope
(-infinity - 0]you[0 - +infinity)

21. What is slope?
A line passing through two distinct points
Inconsitent
Cannot be drawn in quizlet
0<c<1 - horizontal stretching

22. What is the domain of the cube root function?
(-infinity - +infinity)
Yes - all the domains points to one range
The second set of components of an ordered pair
Inconsistant

23. What does the absolute value function look like?
1 -2 -3
Y=10
X is the hours to repair the boat. $1603-532=anwser/63 = x
A V

24. What type of line is an identity function?
45 degree angle
(-infinity - +infinity)
Undefined
As many as you like

25. What are the calculator instructions for the cube root function?
Math 4 x - graph
Horizontal right
Cannot be drawn in quizlet
F(x)=suare root of x

26. What type of line is a constant function?
Negative inverse
As equations
Horizontal
F(x2)-f(x1) / x2-x1

27. What is the line called that illustrates the straight line between the two points when showing average rate of change?
No because you cannot have one domain pointing at two y's or ranges
The secant line
Even
X = the original sale price and the formula is x - .40x =$276

28. Is an absolute value function even - odd or neither?
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
(-infinity - 0]you[0 - +infinity)
When does a graph not define y as a function of x?

29. In an identity function if f(10)=x than What is y?
Y=10
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
Y=b

30. Two vertical lines side by side are a symbol for what
No because you cannot have one domain pointing at two y's or ranges
Parraelle line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A line passing through two distinct points

31. What is the domain of an identity function?
M
(-infinity - +infinity)
Y=x^2 - graph
The slope of a line containing two points

32. What points do you use to plot the inverse on a graph?
Piecewise
The opposite coordinates
Zero slope
When does a graph not define y as a function of x?

33. Is an identity function even - odd or neither?
(f+g) - (f-g) - (fg) - (f/g) all of x
Function notation
Odd
Set the x and y to zero and get the intercepts and then plot the points

34. What can we substitute for f(x)?
Absolute Value - Constant and Standard Quadratic
Y
Undefined
Parabola

35. What are the calculator instructions for the standard cubic function?
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-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
X math 3 graph

36. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative slope
Y=b

37. What is the formula for the square root function?
Perpendicular line
F(x)=suare root of x
F(x^1)=f(x^2)
X2-x1 because the demonaitor of a quotient can never equal zero

38. What are the four steps for solving a linear equation?
A line passing through two distinct points
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.
Set the x and y to zero and get the intercepts and then plot the points
Neither

39. Why can h not equal zero in the difference of a quotient function formula?
Y=IxI
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
The second set of components of an ordered pair

40. What are two examples of composit functions?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Line ascending to the right gradually
Cannot be drawn in quizlet
F of g and g of f

41. What type of slope do you have when a line rises from left to right and m>0?
Perpendicular line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Postiive slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

42. x=no real numbers is what type of an equation?
M
The opposite coordinates
Inconsistant
Absolute Value - Constant and Standard Quadratic

43. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+h)-f(x)/h h cannot equal zero
In a quotient
The secant line

44. What is the domain of the cube root function?
Y=IxI
F(x)=x^3
The secant line
(-infinity - +infinity)

45. What is the standard quadratic function?
X^2
Conditional
Perpendicular line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

46. Draw or discuss an increasing function
The slope of a line containing two points
Y=x^2 - graph
Cannot be drawn in quizlet
Any set of ordered pairs

47. What are two examples of composit functions?
In a quotient
Because the demintor of a quotient can never equal zero
F of g and g of f
Y= then enter the number then press graph

48. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Inconsitent
F(x)=+c and f(x)-c
A line passing through two distinct points

49. What type of slope do you have when m=? and the line is vertical?
The secant line
F(x2)-f(x1) / x2-x1
As equations
Undefined slope

50. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
When does a graph not define y as a function of x?
X2-x1 because the demonaitor of a quotient can never equal zero
Line ascending to the right gradually