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 does the average rate of change formula solve?
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient
The slope of a line containing two points
Inconsitent

2. What is the range of the constant function?
X^2
Mirror image neg quadrant to that of the positive quandrant
The first set of components of an ordered pair
The single number y=

3. Is an identity function even - odd or neither?
M
Odd
(-infinity - +infinity)
(-infinity - +infinity)

4. What are the algebra of functions?
F(x)=x^3
(-infinity - 0]you[0 - +infinity)
Math 4 x - graph
(f+g) - (f-g) - (fg) - (f/g) all of x

5. What can we substitute for f(x)?
Y=x - identity function
Y
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

6. A flat line underlining one vertical line is a symbol for...
F(x)=x^3
[0 -+infinity)
Perpendicular line
Y=b

7. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
C>1 - horizontal shrinking
Identity
Conditional

8. Of the seven of algebra's common graph's how many are neither?
Horizontal left
Cannot be drawn in quizlet
Square Root
When does a graph not define y as a function of x?

9. Which direction does f(x)=+c move in standard absolute value formula?
Up
Parabola - up one and right three
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

10. Is the standard cubic function odd - even or neither?
45 degree angle
Odd
(-infinity - +infinity)
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

11. What are the calculator instructions for a standard quadratic equation?
A V
(-infinity - +infinity)
Y=x^2 - graph
(-infinity - +infinity)

12. What is the domain for an absolute value function?
Parabola - up one and right three
(-infinity - +infinity)
A line passing through two distinct points
Y=IxI

13. x=all real numbers is what type of an equation?
Identity
Even
Neither
[0 -+infinity)

14. What are the calculator instructions for the cube root function?
The second set of components of an ordered pair
Horizontal right
Math 4 x - graph
X=a

15. What is the formula for the standard cubic function?
Conditional
(-infinity - 0]you[0 - +infinity)
F(x)=x^3
A V

16. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
Line ascending to the right gradually
Up
4 -6 -9

17. What is the point slope formula and when do you use it?
Zero slope
X=a
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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

18. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Yes - all the domains points to one range
F(x)=suare root of x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

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

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

20. How many domains can you have pointing to one range?
As many as you like
Y=x^2 - graph
Conditional
(-infinity - +infinity)

21. What is the vertical line test?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
When does a graph not define y as a function of x?
Identity

22. How many domains can you have pointing to one range?
F(x)=3 square root x
The slope of a line containing two points
As many as you like
45 degree angle

23. What shape is the standard quadratic function?
The minimum or maximum points
Neither
Parabola
Postiive slope

24. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=x^3
Parabola
Piecewise
Line ascending to the right gradually

25. 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.
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
The second set of components of an ordered pair

26. standard absolute value - vertical shift formulas for positve and negative
Because the demintor of a quotient can never equal zero
F(x)=+c and f(x)-c
(-infinity - +infinity)
[0 -+infinity)

27. In an identity function if f(10)=x than What is y?
Absolute Value - Constant and Standard Quadratic
Y=10
Three odd - cube root - identity - standard cubic
F(x)=suare root of x

28. What does the square root function look like on a graph?
Undefined
Cannot be drawn in quizlet
(-infinity - +infinity)
Line ascending to the right gradually

29. What type of slope do you have when a line rises from left to right and m>0?
Inconsistant
Postiive slope
Undefined slope
(-infinity - +infinity)

30. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
Y= then enter the number then press graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Undefined slope

31. What points do you use to plot the inverse on a graph?
Odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The secant line
The opposite coordinates

32. Is a standard quadratic function even - odd or neither?
The first set of components of an ordered pair
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
Even
X=a

33. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(f+g) - (f-g) - (fg) - (f/g) all of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
M
Parraelle line

34. What are the calculator instructions for the standard cubic function?
In a quotient
Undefined slope
The first set of components of an ordered pair
X math 3 graph

35. Draw or discuss a constant function
Cannot be drawn in quizlet
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
F of g and g of f

36. What is a constant function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X math 3 graph
F(x^1)=f(x^2)
F(x2)-f(x1) / x2-x1

37. What does the graph of the cube root function look like on the graph?
The minimum or maximum points
Y=b
Approach neg toward x through zero and above positive close to x
Set the x and y to zero and get the intercepts and then plot the points

38. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Absolute Value - Constant and Standard Quadratic
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
No because you cannot have one domain pointing at two y's or ranges
20+.05x=5+.10x x=minutes

39. What is a domain?
X=a
The first set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

40. What is the slope of a perpendicular line?
Yes - all the domains points to one range
Negative inverse
Y=10
Same

41. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
F(x)=3 square root x
Y=10
Neither

42. What equation does every line have? Discuss the variables.
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.
Any set of ordered pairs
Y=x^2 - graph
Y= then enter the number then press graph

43. How many ranges can you have for each domain?
(-infinity - +infinity)
Only one
Conditional
F(x)=suare root of x

44. What type of line is a constant function?
Even
2nd catalog (zero key -) abs(x) - graph
Horizontal
Cannot be drawn in quizlet

45. standard absolute value - horizontal shift formulas for left and right
Inconsitent
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
F(x+c) and f(x-c)
Line ascending to the right gradually

46. What does linear equation mean?
Equation of a line
Line ascending to the right gradually
45 degree angle
0<c<1 - horizontal stretching

47. What is the formula for the square root function?
F(x)=suare root of x
Approach neg toward x through zero and above positive close to x
Identity
(-infinity - +infinity)

48. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Yes because two x's or domains can point to one y
(-infinity - +infinity)
F(x)=+c and f(x)-c

49. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
[0 -+infinity)
Yes - all the domains points to one range
Yes because two x's or domains can point to one y
X2-x1 because the demonaitor of a quotient can never equal zero

50. What is the domain and range of a constant function?
Only one
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
Parabola - up one and right three
(-infinity - +infinity)