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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. x= a real number is what type of equation?
In a quotient
Conditional
When does a graph not define y as a function of x?
F(x2)-f(x1) / x2-x1

2. What is the range of a square root function?
[0 -+infinity)
F(x^1)=f(x^2)
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. 4(x-7)=4x-28 is what type of an equation?
Identity
The single number y=
X2-x1 because the demonaitor of a quotient can never equal zero
Conditional

4. What points do you use to plot the inverse on a graph?
The opposite coordinates
4 -6 -9
Even
Horizontal

5. What are the calculator instructions for the standard cubic function?
F(x^1)=f(x^2)
X=a
X = the original sale price and the formula is x - .40x =$276
X math 3 graph

6. What are the steps for solving a word problem?
Negative inverse
Negative inverse
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

7. How are functions normally written?
X=a
As equations
When does a graph not define y as a function of x?
Y=x^2 - graph

8. Is the standard cubic function odd - even or neither?
A line passing through two distinct points
(-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
Odd

9. What can never equal zero in the slope formula and why?
Mirror image neg quadrant to that of the positive quandrant
Inconsitent
(-infinity - 0]you[0 - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

10. What is the domain of an identity function?
Parraelle line
(-infinity - +infinity)
When does a graph not define y as a function of x?
The single number y=

11. Is a standard quadratic function even - odd or neither?
4 -6 -9
Even
Y=b
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

12. A flat line underlining one vertical line is a symbol for...
A V
Mirror image neg quadrant to that of the positive quandrant
Postiive slope
Perpendicular line

13. Is an identity function even - odd or neither?
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.
(-infinity - +infinity)

14. What is the slope of a perpendicular line?
(-infinity - +infinity)
(-infinity - +infinity)
F(x+c) and f(x-c)
Negative inverse

15. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Y=IxI
(-infinity - +infinity)
Identity

16. What points do you use to plot the inverse on a graph?
F(x+c) and f(x-c)
The opposite coordinates
Function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

17. What is the formula for to calculate the difference of a quotient function?
F(x2)-f(x1) / x2-x1
[0 -+infinity)
X = the original sale price and the formula is x - .40x =$276
F(x+h)-f(x)/h h cannot equal zero

18. What are the calculator instructions for absolute value?
Same
Yes because two x's or domains can point to one y
2nd catalog (zero key -) abs(x) - graph
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.

19. How do you calculate a constant function in your calculator?
Three odd - cube root - identity - standard cubic
Piecewise
Y=x - identity function
Y= then enter the number then press graph

20. What are the algebra of functions?
Yes - all the domains points to one range
C>1 - horizontal shrinking
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal left

21. What is the domain for a standard quadratic function?
45 degree angle
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
As equations

22. What is another way to write f(x)=x - what type of function is this?
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph
Odd
Y=x - identity function

23. Is an identity function even - odd or neither?
Any set of ordered pairs
Odd
Undefined
Approach neg toward x through zero and above positive close to x

24. What is the horizontal line formula?
Y=b
Negative slope
F(x)=IxI
[0 -+infinity)

25. What is the range of the cube root function?
Y
(-infinity - +infinity)
Parraelle line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

26. x=no real numbers is what type of an equation?
F(x2)-f(x1) / x2-x1
Inconsistant
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet

27. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
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
Conditional
Identity

28. What is the vertical line formula?
X=a
Because the demintor of a quotient can never equal zero
Yes - all the domains points to one range
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.

29. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
F(x)=+c and f(x)-c
45 degree angle
F(x)=+c and f(x)-c

30. What is the formula for to calculate the difference of a quotient function?
(-infinity - 0]you[0 - +infinity)
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Only one

31. What is the range for a standard quadratic function?
X^2
(-infinity - +infinity)
F(x)=x^3
(-infinity - 0]you[0 - +infinity)

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

33. What is the formula for the standard cubic function?
Neither
[0 -+infinity)
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.
F(x)=x^3

34. 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
Only one
Postiive slope
20+.05x=5+.10x x=minutes

35. What type of slope do vertical lines have?
F(x+c) and f(x-c)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Undefined
Even

36. Which direction does f(x-c) move
F(x)=x^3
Horizontal right
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

37. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Only one
The secant line
(f+g) - (f-g) - (fg) - (f/g) all of x
X is the hours to repair the boat. $1603-532=anwser/63 = x

38. What type of slope do you have when a line rises from left to right and m>0?
Conditional
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
Postiive slope
Parraelle line

39. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
X2-x1 because the demonaitor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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

40. What is the domain for the standard cubic function?
4 -6 -9
F(x)=3 square root x
Even
(-infinity - +infinity)

41. What does the square root function look like on a graph?
Line ascending to the right gradually
When does a graph not define y as a function of x?
45 degree angle
Y= then enter the number then press graph

42. What is the range for the standard cubic function?
(-infinity - +infinity)
Neither
Set the x and y to zero and get the intercepts and then plot the points
The first set of components of an ordered pair

43. 4x+5x=8x 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
Zero slope
Conditional
Horizontal

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

45. Two vertical lines side by side are a symbol for what
Yes because two x's or domains can point to one y
Parraelle line
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

46. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
In a quotient
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle

47. y=f(cx) - What does this formula represent?
Yes - all the domains points to one range
Conditional
Negative slope
C>1 - horizontal shrinking

48. What is the domain and range of a constant function?
X^2
Up
(-infinity - +infinity)
A line passing through two distinct points

49. What are the calculator instructions for a standard quadratic equation?
X is the hours to repair the boat. $1603-532=anwser/63 = x
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
Y=x^2 - graph
Piecewise

50. Why can h not equal zero in the difference of a quotient function formula?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes - all the domains points to one range
Even
Because the demintor of a quotient can never equal zero