Test your basic knowledge |

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 formula for slope?
X^2
Y=x - identity function
Change in y / change in x = rise / run = y2-y1 / x2-x1
Inconsistant

2. What is the domain for the standard cubic function?
(-infinity - +infinity)
Y=10
Only one
45 degree angle

3. Draw or discuss an increasing function
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
Y=x^2 - graph
(-infinity - +infinity)

4. What is the range of the constant function?
Inconsitent
The single number y=
Parabola
Change in y / change in x = rise / run = y2-y1 / x2-x1

5. What can we substitute for f(x)?
Y
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Absolute Value - Constant and Standard Quadratic
Parabola - up one and right three

6. x=all real numbers is what type of an equation?
Because the demintor of a quotient can never equal zero
F(x)=IxI
Identity
The opposite coordinates

7. What does linear equation mean?
No because you cannot have one domain pointing at two y's or ranges
F(x)=3 square root x
F(x)=IxI
Equation of a line

8. What is the point slope formula and when do you use it?
The first set of components of an ordered pair
A line passing through two distinct points
4 -6 -9
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

9. What is a relation?
Cannot be drawn in quizlet
Any set of ordered pairs
1 -2 -3
(-infinity - 0]you[0 - +infinity)

10. What are the steps for solving a word problem?
(-infinity - +infinity)
Y=b
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
F(x)=x^3

11. What is the domain of a square root function?
45 degree angle
(-infinity - +infinity)
[0 -+infinity)
M

12. What are the calculator instructions for the cube root function?
In a quotient
Math 4 x - graph
Function notation
As many as you like

13. What shape is the standard quadratic function?
Parabola
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
20+.05x=5+.10x x=minutes
2nd catalog (zero key -) abs(x) - graph

14. Is the square root function odd - even or neither?
A line passing through two distinct points
Square Root
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Neither

15. Why can h not equal zero in the difference of a quotient function formula?
Negative inverse
(-infinity - 0]you[0 - +infinity)
The first set of components of an ordered pair
Because the demintor of a quotient can never equal zero

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

17. What can never equal zero in the slope formula and why?
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
Odd
X2-x1 because the demonaitor of a quotient can never equal zero

18. What is the range of the constant function?
(-infinity - 0]you[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
The single number y=

19. What are the calculator instructions for a square root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph
Parraelle line
Any set of ordered pairs

20. What is the range of a square root function?
Perpendicular line
1 -2 -3
Down
[0 -+infinity)

21. f(x) = x^2+3x+5 - what type of formula is this?
The slope of a line containing two points
Perpendicular line
Function notation
F(x+h)-f(x)/h h cannot equal zero

22. What are the steps for solving a word problem?
Piecewise
F(x2)-f(x1) / x2-x1
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
X2-x1 because the demonaitor of a quotient can never equal zero

23. What is the domain of a square root function?
X=a
Parraelle line
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)

24. Two vertical lines side by side are a symbol for what
Horizontal left
Parraelle line
X is the hours to repair the boat. $1603-532=anwser/63 = x
Any set of ordered pairs

25. What is the slope of a perpendicular line?
Negative inverse
Piecewise
(-infinity - +infinity)
Same

26. What is the vertex?
Function notation
The minimum or maximum points
Any set of ordered pairs
Approach neg toward x through zero and above positive close to x

27. What is the letter used to represent slope?
X math 3 graph
M
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

28. What is the formula in both horizontal stretching and horizontal shrinking?
Piecewise
Same
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

29. What type of line is an identity function?
45 degree angle
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The first set of components of an ordered pair
Negative slope

30. 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?
Horizontal
Math 4 x - graph
20+.05x=5+.10x x=minutes
X is the hours to repair the boat. $1603-532=anwser/63 = x

31. What does the average rate of change formula solve?
Y=10
The slope of a line containing two points
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

32. 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^2
Yes because two x's or domains can point to one y
X=a

33. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Up
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

34. Is a constant function even - odd or neither?
Y=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
X math 3 graph
Even

35. What is the domain for a standard quadratic function?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
M

36. What is the slope of a perpendicular line?
Negative inverse
F(x)=3 square root x
Yes - all the domains points to one range
Up

37. What is the formula in both horizontal stretching and horizontal shrinking?
X = the original sale price and the formula is x - .40x =$276
A V
Undefined slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

38. Draw or discuss a constant function
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
Horizontal
Only one

39. What is the formula for the standard cubic function?
(-infinity - +infinity)
Identity
F(x)=x^3
Conditional

40. What type of slope do you have when a line falls left to right and m<0?
F(x+h)-f(x)/h h cannot equal zero
Y=IxI
(-infinity - +infinity)
Negative slope

41. What does the square root function look like on a graph?
Odd
Line ascending to the right gradually
Horizontal
Y=x - identity function

42. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Horizontal
In a quotient
X = the original sale price and the formula is x - .40x =$276

43. In an identity function if f(10)=x than What is y?
Function notation
Y=10
Up
Identity

44. What is the range of an identity function?
[0 -+infinity)
(-infinity - +infinity)
Even
The second set of components of an ordered pair

45. A flat line underlining one vertical line is a symbol for...
Same
Perpendicular line
Even
Yes because two x's or domains can point to one y

46. What is the domain for an absolute value function?
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd key - x^2 - graph
F(x^1)=f(x^2)
(-infinity - +infinity)

47. What are the four steps for solving a linear equation?
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.
Y=IxI
(-infinity - 0]you[0 - +infinity)
Horizontal

48. What is a constant function?
Horizontal right
F(x^1)=f(x^2)
Postiive slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

49. What is the vertical line test?
When does a graph not define y as a function of x?
X = the original sale price and the formula is x - .40x =$276
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

50. What is a constant function?
Equation of a line
Because the demintor of a quotient can never equal zero
F(x^1)=f(x^2)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope