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. x= a real number is what type of equation?
Conditional
(-infinity - +infinity)
Zero slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

2. What is another way of writing the absolute value function?
Y=IxI
Even
Piecewise
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

3. 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

4. x=no real numbers is what type of an equation?
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
Cannot be drawn in quizlet
Inconsistant

5. What is the letter used to represent slope?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet
F(x)=x^3
M

6. What are the calculator instructions for a square root function?
Odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Function notation
2nd key - x^2 - graph

7. What is a function?
The single number y=
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]you[0 - +infinity)
Down

8. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Odd
Only one
Undefined slope

9. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
The secant line
Zero slope

10. Of the seven of algebra's common graph's how many are neither?
Square Root
0<c<1 - horizontal stretching
Parraelle line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

11. What are the algebra of functions?
The single number y=
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle
Yes because two x's or domains can point to one y

12. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
M
Y=10
4 -6 -9
F(x)=x^3

13. What is the slope of a perpendicular line?
Yes - all the domains points to one range
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 inverse
Approach neg toward x through zero and above positive close to x

14. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Line ascending to the right gradually
Up
F(x)=suare root of x

15. What are the four steps for solving a linear equation?
F(x)=IxI
[0 -+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.
(-infinity - +infinity)

16. What is the domain and range of a constant function?
(-infinity - +infinity)
A line passing through two distinct points
Y
When does a graph not define y as a function of x?

17. What are two examples of composit functions?
F of g and g of f
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Y=10

18. Is an identity function even - odd or neither?
Parabola
Odd
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

19. x=no real numbers is what type of an equation?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsistant
Y=x^2 - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

20. What is the vertex?
Odd
The minimum or maximum points
F(x+c) and f(x-c)
Undefined slope

21. What is the formula in both horizontal stretching and horizontal shrinking?
X = the original sale price and the formula is x - .40x =$276
Neither
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Function notation

22. What is the range of the cube root function?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Negative slope
Mirror image neg quadrant to that of the positive quandrant

23. What can we substitute for f(x)?
Horizontal right
Y
As many as you like
Cannot be drawn in quizlet

24. What is a constant function?
Horizontal left
Line ascending to the right gradually
(-infinity - 0]you[0 - +infinity)
F(x^1)=f(x^2)

25. f(x) = x^2+3x+5 - what type of formula is this?
F(x^1)=f(x^2)
(-infinity - +infinity)
The secant line
Function notation

26. What are the calculator instructions for the cube root function?
The slope of a line containing two points
F(x+c) and f(x-c)
Math 4 x - 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

27. Draw or discuss a decreasing function
Inconsitent
Even
When does a graph not define y as a function of x?
Cannot be drawn in quizlet

28. Which direction does f(x-c) move
Horizontal right
Line ascending to the right gradually
Piecewise
F(x^1)=f(x^2)

29. Is the square root function odd - even or neither?
(-infinity - 0]you[0 - +infinity)
2nd key - x^2 - graph
Parabola - up one and right three
Neither

30. What points do you use to plot the inverse on a graph?
X math 3 graph
2nd key - x^2 - graph
Yes - all the domains points to one range
The opposite coordinates

31. What is the domain for a standard quadratic function?
F of g and g of f
(-infinity - +infinity)
Conditional
F(x)=3 square root x

32. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
F(x^1)=f(x^2)
F(x) = x
Y= then enter the number then press graph

33. What shape is the standard quadratic function?
Parabola
(-infinity - +infinity)
As equations
2nd key - x^2 - graph

34. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Odd
Inconsistant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X^2

35. What does the standard cubic function look like on a graph?
Conditional
Only one
Any set of ordered pairs
Mirror image neg quadrant to that of the positive quandrant

36. What is the formula in both horizontal stretching and horizontal shrinking?
The first set of components of an ordered pair
Neither
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Down

37. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The minimum or maximum points
F of g and g of f
Cannot be drawn in quizlet

38. Two vertical lines side by side are a symbol for what
Negative inverse
Parraelle line
F of g and g of f
M

39. What equation does every line have? Discuss the variables.
Horizontal left
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.
Three odd - cube root - identity - standard cubic
C>1 - horizontal shrinking

40. What does the average rate of change formula solve?
The slope of a line containing two points
Horizontal
When does a graph not define y as a function of x?
Equation of a line

41. How many ranges can you have for each domain?
Undefined slope
Only one
4 -6 -9
Any set of ordered pairs

42. What is the horizontal line formula?
F(x^1)=f(x^2)
Postiive slope
Y=b
Mirror image neg quadrant to that of the positive quandrant

43. What is the formula for an identity function?
Up
F(x) = x
M
(-infinity - +infinity)

44. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
The opposite coordinates
(-infinity - +infinity)
Piecewise
20+.05x=5+.10x x=minutes

45. 4(x-7)=4x-28 is what type of an equation?
Identity
Odd
Inconsistant
F(x) = x

46. What are the calculator instructions for the cube root function?
X^2
Cannot be drawn in quizlet
F(x)=IxI
Math 4 x - graph

47. x= a real number is what type of equation?
Neither
M
Conditional
X math 3 graph

48. What type of line is an identity 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
45 degree angle
2nd catalog (zero key -) abs(x) - graph

49. What can never equal zero in the slope formula and why?
F(x2)-f(x1) / x2-x1
X2-x1 because the demonaitor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
Y

50. What type of line is a constant function?
As many as you like
Horizontal
Identity
A V