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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 slope do you have when a line falls left to right and m<0?
Absolute Value - Constant and Standard Quadratic
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
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
Negative slope

2. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Any set of ordered pairs
No because you cannot have one domain pointing at two y's or ranges
Yes - all the domains points to one range
Parraelle line

3. What is a constant function?
F(x^1)=f(x^2)
Down
Parabola
(-infinity - 0]you[0 - +infinity)

4. y=f(cx) What does this formula represent?
The second set of components of an ordered pair
Perpendicular line
0<c<1 - horizontal stretching
Because the demintor of a quotient can never equal zero

5. What is the range for the standard cubic function?
Same
Cannot be drawn in quizlet
Conditional
(-infinity - +infinity)

6. How many ranges can you have for each domain?
Horizontal
The minimum or maximum points
Only one
4 -6 -9

7. What is a range?
Parraelle line
The second set of components of an ordered pair
Odd
The single number y=

8. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Inconsitent
(-infinity - +infinity)
The secant line
Down

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

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10. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
The second set of components of an ordered pair
Odd
Square Root

11. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
The minimum or maximum points
[0 -+infinity)
The minimum or maximum points

12. What does the average rate of change formula solve?
(-infinity - +infinity)
The slope of a line containing two points
Three odd - cube root - identity - standard cubic
Down

13. Draw or discuss a constant function
(-infinity - +infinity)
Inconsitent
(-infinity - +infinity)
Cannot be drawn in quizlet

14. What is the vertical line formula?
2nd catalog (zero key -) abs(x) - graph
X=a
(-infinity - +infinity)
Y= then enter the number then press graph

15. What is the range of an identity function?
(-infinity - +infinity)
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet

16. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Cannot be drawn in quizlet
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 is the hours to repair the boat. $1603-532=anwser/63 = x
Because the demintor of a quotient can never equal zero

17. What is the domain for an absolute value function?
(-infinity - +infinity)
Math 4 x - graph
[0 -+infinity)
Same

18. What type of slope do vertical lines have?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant
Undefined
Identity

19. What direction does f(x)-c move in standard absolute value formula?
A line passing through two distinct points
Down
Negative inverse
Only one

20. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
M
Odd
[0 -+infinity)

21. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Piecewise
F(x) = x

22. What is the horizontal line formula?
Inconsitent
Yes - all the domains points to one range
Down
Y=b

23. What is the domain of a square root function?
[0 -+infinity)
The slope of a line containing two points
Change in y / change in x = rise / run = y2-y1 / x2-x1
Piecewise

24. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Horizontal
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range
4 -6 -9

25. What is the domain for a standard quadratic function?
Because the demintor of a quotient can never equal zero
F(x) = x
(-infinity - +infinity)
Identity

26. Is a constant function even - odd or neither?
Odd
Even
Yes - all the domains points to one range
Horizontal left

27. What are the calculator instructions for a square root function?
[0 -+infinity)
2nd key - x^2 - graph
Negative slope
In a quotient

28. Which direction does f(x-c) move
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.
0<c<1 - horizontal stretching
Horizontal right
Mirror image neg quadrant to that of the positive quandrant

29. What shape is the standard quadratic function?
Parabola
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=IxI
(-infinity - +infinity)

30. What is the standard quadratic function?
0<c<1 - horizontal stretching
(-infinity - +infinity)
X^2
Function notation

31. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
Negative slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Same

32. What is an identity function?
45 degree angle
Negative inverse
Zero slope
4 -6 -9

33. What type of line is a constant function?
As equations
F(x+h)-f(x)/h h cannot equal zero
F(x)=x^3
Horizontal

34. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The opposite coordinates
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
Identity
The first set of components of an ordered pair

35. What are the calculator instructions for the standard cubic function?
X math 3 graph
Negative slope
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

36. What is the range for a standard quadratic function?
Negative inverse
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]you[0 - +infinity)
Parraelle line

37. What type of slope do you have when m=? and the line is vertical?
Set the x and y to zero and get the intercepts and then plot the points
F(x)=suare root of x
45 degree angle
Undefined slope

38. What does the average rate of change formula solve?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
2nd key - x^2 - graph
Y=x^2 - graph
The slope of a line containing two points

39. What is the formula for the square root function?
F(x)=suare root of x
Even
Any set of ordered pairs
F(x)=IxI

40. What does the graph of the cube root function look like on the graph?
Y=b
X=a
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero

41. 4x+5x=8x is what type of an equation?
20+.05x=5+.10x x=minutes
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional
X math 3 graph

42. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - 0]you[0 - +infinity)
Inconsitent
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X2-x1 because the demonaitor of a quotient can never equal zero

43. What are the calculator instructions for the cube root function?
The second set of components of an ordered pair
Math 4 x - 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
A line passing through two distinct points

44. How many ranges can you have for each domain?
Inconsistant
Y=b
Only one
Y=b

45. What is the formula for an identity function?
Even
F(x) = x
Y=10
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

46. What type of slope do horizontal lines have?
4 -6 -9
Zero slope
Same
Only one

47. What is a relation?
Up
Any set of ordered pairs
F(x+c) and f(x-c)
The opposite coordinates

48. What are the four steps for solving a linear equation?
Postiive slope
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.
F(x+c) and f(x-c)
Approach neg toward x through zero and above positive close to x

49. What is a constant function?
F(x^1)=f(x^2)
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
Conditional
Perpendicular line

50. Which direction does f(x)=+c move in standard absolute value formula?
Up
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.
Even
Identity