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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 a relation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
4 -6 -9
Any set of ordered pairs
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.

2. What is another way to write f(x)=x - what type of function is this?
Zero slope
Y=x - identity function
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

3. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Identity
Y= then enter the number then press graph
Neither

4. $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
Horizontal
Zero slope
Postiive slope

5. Is a constant function even - odd or neither?
Perpendicular line
Odd
C>1 - horizontal shrinking
Even

6. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
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
Horizontal right
(-infinity - +infinity)

7. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Identity
Any set of ordered pairs
Inconsitent

8. x=all real numbers is what type of an equation?
Horizontal
M
Identity
Only one

9. y=f(cx) What does this formula represent?
The first set of components of an ordered pair
Down
0<c<1 - horizontal stretching
Y=x^2 - graph

10. What type of slope do horizontal lines have?
F(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Same
Postiive slope

11. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Conditional
Parabola
Perpendicular line
Yes - all the domains points to one range

12. What does the absolute value function look like?
A V
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
Even

13. What is the range for the standard cubic function?
Y=x - identity function
X^2
(-infinity - +infinity)
0<c<1 - horizontal stretching

14. What type of line is a constant function?
Horizontal
Identity
Neither
Yes because two x's or domains can point to one y

15. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
(-infinity - +infinity)
Parabola
Y=10

16. standard absolute value - vertical shift formulas for positve and negative
Up
Mirror image neg quadrant to that of the positive quandrant
F(x)=+c and f(x)-c
As many as you like

17. Draw or discuss a constant function
Cannot be drawn in quizlet
C>1 - horizontal shrinking
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.
The slope of a line containing two points

18. What is the domain and range of a constant function?
The second set of components of an ordered pair
Up
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

19. What does the graph of the cube root function look like on the graph?
Horizontal left
F(x2)-f(x1) / x2-x1
Inconsitent
Approach neg toward x through zero and above positive close to x

20. What is the letter used to represent slope?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
M
Line ascending to the right gradually
The secant line

21. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Y=b
Even
X is the hours to repair the boat. $1603-532=anwser/63 = x

22. What type of slope do you have when the line is horizontal and m=0?
Zero slope
F(x+c) and f(x-c)
X2-x1 because the demonaitor of a quotient can never equal zero
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

23. What type of slope do horizontal lines have?
(-infinity - +infinity)
Same
The minimum or maximum points
The single number y=

24. standard absolute value - vertical shift formulas for positve and negative
Horizontal
Only one
Approach neg toward x through zero and above positive close to x
F(x)=+c and f(x)-c

25. What is the range for the standard cubic function?
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)
As many as you like
F(x)=x^3

26. What can we substitute for f(x)?
(-infinity - +infinity)
Identity
Y
(-infinity - 0]you[0 - +infinity)

27. A flat line underlining one vertical line is a symbol for...
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
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
Perpendicular line

28. What type of slope do vertical lines have?
Undefined
Only one
Parabola - up one and right three
Y= then enter the number then press graph

29. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
2nd catalog (zero key -) abs(x) - graph
F(x+c) and f(x-c)
Horizontal
X = the original sale price and the formula is x - .40x =$276

30. What points do you use to plot the inverse on a graph?
The opposite coordinates
When does a graph not define y as a function of x?
(-infinity - +infinity)
As many as you like

31. 4x+5x=8x is what type of an equation?
Conditional
Odd
Y= then enter the number then press graph
A line passing through two distinct points

32. What type of line is an identity function?
(-infinity - +infinity)
45 degree angle
Mirror image neg quadrant to that of the positive quandrant
Square Root

33. What is the formula for an absolute value function?
F(x)=IxI
When does a graph not define y as a function of x?
(-infinity - +infinity)
The minimum or maximum points

34. What does the absolute value function look like?
A V
Even
Y= then enter the number then press graph
Parabola - up one and right three

35. What is the vertical line formula?
(-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
Cannot be drawn in quizlet
X=a

36. What is the range for a standard quadratic function?
F(x^1)=f(x^2)
Three odd - cube root - identity - standard cubic
As many as you like
(-infinity - 0]you[0 - +infinity)

37. What can never equal zero in the slope formula and why?
Y=b
Y=x - identity function
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

38. What is the domain of a square root function?
(-infinity - +infinity)
[0 -+infinity)
Square Root
Math 4 x - graph

39. 4(x-7)=4x-28 is what type of an equation?
Identity
(-infinity - +infinity)
0<c<1 - horizontal stretching
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

40. What type of line is a constant function?
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
4 -6 -9
Horizontal
Y=IxI

41. What is the domain for a standard quadratic function?
F(x)=x^3
F(x)=suare root of x
C>1 - horizontal shrinking
(-infinity - +infinity)

42. Which direction does f(x)=+c move in standard absolute value formula?
The first set of components of an ordered pair
(-infinity - +infinity)
Y=x^2 - graph
Up

43. 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
The slope of a line containing two points
F(x+c) and f(x-c)

44. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X=a
X = the original sale price and the formula is x - .40x =$276
Because the demintor of a quotient can never equal zero
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.

45. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The secant line
45 degree angle
Cannot be drawn in quizlet

46. What is the vertical line formula?
X=a
Up
Postiive slope
When does a graph not define y as a function of x?

47. Two vertical lines side by side are a symbol for what
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
Parraelle line
Inconsistant

48. What are the algebra of functions?
2nd key - x^2 - graph
Horizontal right
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=

49. What is an identity function?
45 degree angle
The slope of a line containing two points
Even
Identity

50. What are the four steps for finding the inverse of a 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
Down
Yes because two x's or domains can point to one y