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. Is an absolute value function even - odd or neither?
Even
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 first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000
Odd

2. What is the domain of an identity function?
(-infinity - +infinity)
F(x^1)=f(x^2)
Parraelle line
Y=b

3. What is the formula for slope?
X=a
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

4. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Piecewise

5. Of the seven of algebra's common graph's how many are odd?
Y=10
Three odd - cube root - identity - standard cubic
Same
0<c<1 - horizontal stretching

6. x= a real number is what type of equation?
Identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional
Math 4 x - graph

7. x= a real number is what type of equation?
(-infinity - +infinity)
F(x)=3 square root x
Conditional
Neither

8. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Function notation
X = the original sale price and the formula is x - .40x =$276
Odd
Yes because two x's or domains can point to one y

9. What does linear equation mean?
F(x^1)=f(x^2)
Y= then enter the number then press graph
The slope of a line containing two points
Equation of a line

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

11. What is the range of the constant function?
As many as you like
Undefined
Odd
The single number y=

12. What are the calculator instructions for a square root function?
Y=x^2 - graph
2nd key - x^2 - graph
[0 -+infinity)
Any set of ordered pairs

13. What is the domain for an absolute value function?
(-infinity - +infinity)
Zero slope
Equation of a line
Horizontal

14. What is the domain for a standard quadratic function?
0<c<1 - horizontal stretching
Even
Negative slope
(-infinity - +infinity)

15. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
[0 -+infinity)
(-infinity - +infinity)
Even

16. What type of line is an identity function?
Inconsistant
The second set of components of an ordered pair
Equation of a line
45 degree angle

17. What type of slope do vertical lines have?
The second set of components of an ordered pair
Even
Undefined
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.

18. What does the standard cubic function look like on a graph?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

19. What is the formula for to calculate the difference of a quotient function?
Down
The minimum or maximum points
F(x+h)-f(x)/h h cannot equal zero
Because the demintor of a quotient can never equal zero

20. What is the range of the cube root function?
(-infinity - +infinity)
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
A line passing through two distinct points
Cannot be drawn in quizlet

21. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Approach neg toward x through zero and above positive close to x
The first set of components of an ordered pair
When does a graph not define y as a function of x?

22. What is the formula for the cube root function?
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.
[0 -+infinity)
F(x)=3 square root x
F(x2)-f(x1) / x2-x1

23. What is slope?
A line passing through two distinct points
[0 -+infinity)
(-infinity - +infinity)
Horizontal right

24. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Negative inverse
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even

25. What are two examples of composit functions?
F of g and g of f
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Zero slope
Zero slope

26. What is another way to write f(x)=x - what type of function is this?
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
45 degree angle
As equations
Y=x - identity function

27. What are the algebra of functions?
Up
(f+g) - (f-g) - (fg) - (f/g) all of x
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.
No because you cannot have one domain pointing at two y's or ranges

28. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Y= then enter the number then press graph
2nd catalog (zero key -) abs(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

29. How are functions normally written?
Conditional
Cannot be drawn in quizlet
As equations
Math 4 x - graph

30. What type of slope do vertical lines have?
Perpendicular line
Odd
Undefined
Y=x - identity function

31. What type of slope do you have when a line rises from left to right and m>0?
Y
F(x+h)-f(x)/h h cannot equal zero
Inconsitent
Postiive slope

32. y=f(cx) - What does this formula represent?
Neither
A line passing through two distinct points
C>1 - horizontal shrinking
Equation of a line

33. What type of line is a constant function?
Function notation
Horizontal
Up
The second set of components of an ordered pair

34. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
1 -2 -3
X^2
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. Is the square root function odd - even or neither?
Inconsistant
Neither
Inconsitent
Identity

36. What can never equal zero in the slope formula and why?
X = the original sale price and the formula is x - .40x =$276
Undefined slope
X2-x1 because the demonaitor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic

37. 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
Cannot be drawn in quizlet
F(x)=suare root of x
Neither

38. What is a relation?
Any set of ordered pairs
Identity
The slope of a line containing two points
Conditional

39. What is the formula for the standard cubic function?
F(x)=x^3
(-infinity - 0]you[0 - +infinity)
20+.05x=5+.10x x=minutes
[0 -+infinity)

40. What is a constant function?
Any set of ordered pairs
F(x^1)=f(x^2)
X = the original sale price and the formula is x - .40x =$276
Horizontal

41. What is the domain for the standard cubic 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
A V
Inconsistant
(-infinity - +infinity)

42. What is a relation?
(-infinity - +infinity)
Perpendicular line
Undefined slope
Any set of ordered pairs

43. Draw or discuss a decreasing function
Any set of ordered pairs
No because you cannot have one domain pointing at two y's or ranges
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet

44. What is the vertical line test?
Y=x - identity function
F(x2)-f(x1) / x2-x1
When does a graph not define y as a function of x?
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

45. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
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
20+.05x=5+.10x x=minutes
No because you cannot have one domain pointing at two y's or ranges

46. What direction does f(x)-c move in standard absolute value formula?
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
Down
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

47. What is the range for the standard cubic function?
(-infinity - +infinity)
A V
The secant line
F(x+c) and f(x-c)

48. What is the domain and range of a constant function?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
C>1 - horizontal shrinking
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.

49. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Odd
Square Root
(-infinity - +infinity)
The secant line

50. x=all real numbers is what type of an equation?
Set the x and y to zero and get the intercepts and then plot the points
Identity
Y=10
(f+g) - (f-g) - (fg) - (f/g) all of x