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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 vertical line formula?
X=a
Undefined slope
2nd key - x^2 - graph
20+.05x=5+.10x x=minutes

2. How do you calculate a constant function in your calculator?
The secant line
Y= then enter the number then press graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even

3. Of the seven of algebra's common graph's how many are odd?
[0 -+infinity)
The second set of components of an ordered pair
Three odd - cube root - identity - standard cubic
(-infinity - 0]you[0 - +infinity)

4. What type of slope do horizontal lines have?
F(x+h)-f(x)/h h cannot equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=IxI
Same

5. What points do you use to plot the inverse on a graph?
Y=10
Identity
The first set of components of an ordered pair
The opposite coordinates

6. What type of slope do you have when a line rises from left to right and m>0?
Approach neg toward x through zero and above positive close to x
Postiive slope
Horizontal left
Parabola

7. What type of line is a constant function?
Horizontal
Piecewise
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
Zero slope

8. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Any set of ordered pairs
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x - identity function

9. What is a range?
[0 -+infinity)
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The second set of components of an ordered pair

10. Is a constant function even - odd or neither?
Even
Inconsitent
Y=x - identity function
Postiive slope

11. What are the calculator instructions for the cube root function?
Inconsitent
F of g and g of f
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.
Math 4 x - graph

12. What does the average rate of change formula solve?
The slope of a line containing two points
(-infinity - +infinity)
Piecewise
Y

13. What does linear equation mean?
Equation of a line
Y= then enter the number then press graph
0<c<1 - horizontal stretching
(-infinity - +infinity)

14. Of the seven of algebra's common graph's how many are neither?
Up
Square Root
(-infinity - +infinity)
(-infinity - +infinity)

15. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
Parraelle line
Cannot be drawn in quizlet
F(x)=suare root of x

16. What type of line is an identity function?
(-infinity - +infinity)
Neither
0<c<1 - horizontal stretching
45 degree angle

17. What is a relation?
Line ascending to the right gradually
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x^1)=f(x^2)
Any set of ordered pairs

18. What are the steps for solving a word problem?
(-infinity - 0]you[0 - +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
Parraelle line
A V

19. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
The opposite coordinates
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
4 -6 -9

20. What does the graph of the cube root function look like on the graph?
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x
Even
Y

21. What is the letter used to represent slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x - identity function
M
(-infinity - +infinity)

22. What are the calculator instructions for the standard cubic function?
Same
Math 4 x - graph
X math 3 graph
Cannot be drawn in quizlet

23. What is the formula for an identity function?
F(x) = x
(-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.
Mirror image neg quadrant to that of the positive quandrant

24. y=f(cx) - What does this formula represent?
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
(-infinity - 0]you[0 - +infinity)
Y=b

25. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Identity
The slope of a line containing two points
2nd key - x^2 - graph

26. What is the formula for the square root function?
X^2
Any set of ordered pairs
F(x)=suare root of x
Yes because two x's or domains can point to one y

27. What is a constant function?
(-infinity - +infinity)
Conditional
Horizontal right
F(x^1)=f(x^2)

28. What is the range for an absolute value function?
Y=x - identity function
Parraelle line
F(x)=+c and f(x)-c
(-infinity - 0]you[0 - +infinity)

29. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Line ascending to the right gradually
X is the hours to repair the boat. $1603-532=anwser/63 = x
Neither

30. How many domains can you have pointing to one range?
Identity
Because the demintor of a quotient can never equal zero
Odd
As many as you like

31. What type of function would you use to calculate the most advantageous cell phone plan?
Y= then enter the number then press graph
Piecewise
A line passing through two distinct points
F(x) = x

32. What is another way of writing the absolute value function?
Neither
Y=IxI
Parabola - up one and right three
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

33. 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)
A line passing through two distinct points
Undefined

34. Is an identity function even - odd or neither?
Odd
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
Negative slope
Parabola

35. What is the slope intercept formula? Define all the variables.
2nd key - x^2 - graph
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

36. What is the slope of a perpendicular line?
4 -6 -9
Postiive slope
Negative inverse
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

37. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X is the hours to repair the boat. $1603-532=anwser/63 = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X = the original sale price and the formula is x - .40x =$276
Zero slope

38. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
When does a graph not define y as a function of x?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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

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

40. What does the average rate of change formula solve?
F(x+c) and f(x-c)
The slope of a line containing two points
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
Cannot be drawn in quizlet

41. What is the domain for a standard quadratic function?
F(x)=x^3
The first set of components of an ordered pair
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

42. What is the formula for the cube root function?
F(x)=3 square root x
Mirror image neg quadrant to that of the positive quandrant
Y=x^2 - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

43. What does the graph of the cube root function look like on the graph?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
2nd key - x^2 - graph

44. What type of function would you use to calculate the most advantageous cell phone plan?
Even
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
Piecewise

45. What is slope?
F(x)=+c and f(x)-c
Three odd - cube root - identity - standard cubic
Undefined
A line passing through two distinct points

46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Yes - all the domains points to one range
4 -6 -9

47. x=no real numbers is what type of an equation?
Inconsistant
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero
Perpendicular line

48. f(x) = x^2+3x+5 - what type of formula is this?
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 left
Function notation
X=a

49. What are the four steps for finding the inverse of a function?
Y=x - identity function
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)

50. When is the only time (-infinity - +infinity) is not the domain?
Any set of ordered pairs
Even
In a quotient
Y=10