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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. What is the range of the cube root function?
Yes - all the domains points to one range
Conditional
Neither
(-infinity - +infinity)

2. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Only one
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet

3. What does the average rate of change formula solve?
Negative inverse
The slope of a line containing two points
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

4. Is an identity function even - odd or neither?
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Odd
F(x)=suare root of x

5. What type of slope do you have when a line rises from left to right and m>0?
F(x)=3 square root x
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
Postiive slope

6. How many domains can you have pointing to one range?
As many as you like
(-infinity - +infinity)
The opposite coordinates
Perpendicular line

7. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Identity
When does a graph not define y as a function of x?
(-infinity - +infinity)

8. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
F(x+h)-f(x)/h h cannot equal zero
A V
The second set of components of an ordered pair

9. What is the slope of a perpendicular line?
Negative inverse
20+.05x=5+.10x x=minutes
20+.05x=5+.10x x=minutes
Down

10. What can we substitute for f(x)?
X math 3 graph
Three odd - cube root - identity - standard cubic
Y
Horizontal

11. y=f(cx) What does this formula represent?
Y=x^2 - graph
Conditional
0<c<1 - horizontal stretching
Horizontal

12. What type of slope do you have when a line falls left to right and m<0?
2nd catalog (zero key -) abs(x) - graph
Negative slope
Horizontal right
Perpendicular line

13. What shape is the standard quadratic function?
Parabola
2nd catalog (zero key -) abs(x) - graph
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

14. What is the range of the constant function?
The slope of a line containing two points
Horizontal right
0<c<1 - horizontal stretching
The single number y=

15. What is the slope of a perpendicular line?
Three odd - cube root - identity - standard cubic
Negative inverse
Parabola - up one and right three
Change in y / change in x = rise / run = y2-y1 / x2-x1

16. What is another way to write f(x)=x - what type of function is this?
The slope of a line containing two points
Y=x - identity function
2nd catalog (zero key -) abs(x) - graph
Conditional

17. What is a domain?
Inconsistant
F(x2)-f(x1) / x2-x1
Identity
The first set of components of an ordered pair

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

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19. y=f(cx) - What does this formula represent?
X=a
F(x)=3 square root x
Approach neg toward x through zero and above positive close to x
C>1 - horizontal shrinking

20. x= a real number is what type of equation?
F(x+h)-f(x)/h h cannot equal zero
F(x+c) and f(x-c)
Conditional
No because you cannot have one domain pointing at two y's or ranges

21. What does the absolute value function look like?
A V
(-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
Undefined slope

22. x=no real numbers is what type of an equation?
F of g and g of f
Even
F(x)=+c and f(x)-c
Inconsistant

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

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24. What are the calculator instructions for the cube root function?
Math 4 x - graph
0<c<1 - horizontal stretching
F(x)=x^3
Y=IxI

25. What shape is the standard quadratic function?
Line ascending to the right gradually
Neither
Parabola
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

26. What is the domain for the standard cubic function?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Horizontal
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.

27. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Any set of ordered pairs
Parabola
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

28. What is a range?
The second set of components of an ordered pair
X=a
Inconsitent
A V

29. What type of slope do horizontal lines have?
Same
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.
The minimum or maximum points
Horizontal

30. What is the formula for the cube root function?
0<c<1 - horizontal stretching
F(x)=3 square root x
2nd key - x^2 - 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

31. What is the formula for the standard cubic function?
F(x)=x^3
Negative inverse
Square Root
(-infinity - +infinity)

32. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
Undefined slope
(-infinity - +infinity)
Y= then enter the number then press graph

33. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph
Odd
X is the hours to repair the boat. $1603-532=anwser/63 = x

34. x=no real numbers is what type of an equation?
Absolute Value - Constant and Standard Quadratic
Inconsistant
F(x)=+c and f(x)-c
X2-x1 because the demonaitor of a quotient can never equal zero

35. What is a constant function?
(-infinity - +infinity)
Even
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

36. Is the standard cubic function odd - even or neither?
The secant line
(-infinity - +infinity)
Odd
Identity

37. What is the domain for a standard quadratic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even
(-infinity - +infinity)
The secant line

38. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
The single number y=
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

39. $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?
The first set of components of an ordered pair
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
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
Undefined slope

40. What equation does every line have? Discuss the variables.
Horizontal
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.
Same
F(x^1)=f(x^2)

41. Which direction does f(x)=+c move in standard absolute value formula?
Line ascending to the right gradually
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
Set the x and y to zero and get the intercepts and then plot the points
Up

42. In an identity function if f(10)=x than What is y?
Identity
Y=10
X2-x1 because the demonaitor of a quotient can never equal zero
Conditional

43. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Even
X=a
Horizontal

44. What is the range of an identity function?
Undefined slope
Neither
(-infinity - +infinity)
Any set of ordered pairs

45. What points do you use to plot the inverse on a graph?
Neither
The opposite coordinates
Y=10
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

46. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Zero slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
No because you cannot have one domain pointing at two y's or ranges

47. What does linear equation mean?
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
Equation of a line
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
Perpendicular line

48. What type of slope do vertical lines have?
Horizontal left
Undefined slope
X math 3 graph
Undefined

49. What can never equal zero in the slope formula and why?
A V
X2-x1 because the demonaitor of a quotient can never equal zero
Any set of ordered pairs
2nd key - x^2 - graph

50. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y
Y=b
(-infinity - 0]you[0 - +infinity)