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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. 4(x-7)=4x-28 is what type of an equation?
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
The first set of components of an ordered pair
Identity

2. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient
2nd catalog (zero key -) abs(x) - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

3. What is the formula for the cube root function?
F(x)=3 square root x
Odd
Cannot be drawn in quizlet
Down

4. What direction does f(x)-c move in standard absolute value formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Identity
Down
Piecewise

5. What type of function would you use to calculate the most advantageous cell phone plan?
X=a
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.
Piecewise
When does a graph not define y as a function of x?

6. What is a domain?
The first set of components of an ordered pair
Even
2nd key - x^2 - graph
Even

7. What does the graph of the cube root function look like on the graph?
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.
Piecewise
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x

8. What is the horizontal line formula?
The second set of components of an ordered pair
Y=b
Postiive slope
F(x)=3 square root x

9. x=no real numbers is what type of an equation?
(-infinity - 0]you[0 - +infinity)
The first set of components of an ordered pair
Yes - all the domains points to one range
Inconsistant

10. Is an identity function even - odd or neither?
Odd
Approach neg toward x through zero and above positive close to x
45 degree angle
Same

11. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
C>1 - horizontal shrinking
X math 3 graph

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

13. 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
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
Set the x and y to zero and get the intercepts and then plot the points

14. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Absolute Value - Constant and Standard Quadratic
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

15. f(x) = x^2+3x+5 - what type of formula is this?
Conditional
F(x+c) and f(x-c)
Negative inverse
Function notation

16. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Odd
The secant line
Undefined slope

17. What is the average rate of change formula?
Odd
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
X math 3 graph
F(x2)-f(x1) / x2-x1

18. What is a function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Mirror image neg quadrant to that of the positive quandrant
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

19. What is the point slope formula and when do you use it?
2nd catalog (zero key -) abs(x) - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Perpendicular line
F(x^1)=f(x^2)

20. What is the domain for an absolute value function?
Y=IxI
In a quotient
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
(-infinity - +infinity)

21. How would this formula move f(x)=(x+1)^2-3
Only one
Parabola - up one and right three
Horizontal left
X^2

22. What type of slope do horizontal lines have?
4 -6 -9
Postiive slope
Same
Horizontal right

23. x=all real numbers is what type of an equation?
Even
(-infinity - +infinity)
Identity
(-infinity - +infinity)

24. What are the calculator instructions for a square root function?
In a quotient
2nd key - x^2 - graph
Only one
(-infinity - +infinity)

25. What is the range of the cube root function?
(-infinity - +infinity)
Even
Y=x^2 - graph
[0 -+infinity)

26. What is the domain for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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

27. What type of line is an identity function?
X = the original sale price and the formula is x - .40x =$276
45 degree angle
Approach neg toward x through zero and above positive close to x
Inconsistant

28. What is the range for the standard cubic function?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
In a quotient
As many as you like

29. What type of line is a constant function?
Horizontal
Y=b
Up
M

30. $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?
Zero slope
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
(-infinity - +infinity)
45 degree angle

31. What is the vertex?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x+h)-f(x)/h h cannot equal zero
The minimum or maximum points
(-infinity - +infinity)

32. What is the range for a standard quadratic 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
(-infinity - 0]you[0 - +infinity)
Equation of a line
The slope of a line containing two points

33. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Y=x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=3 square root x

34. What is the slope intercept formula? Define all the variables.
Parabola - up one and right three
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Function notation

35. How do you graph Ax+By+C=0?
F(x)=x^3
Horizontal
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI

36. standard absolute value - vertical shift formulas for positve and negative
F(x) = x
Perpendicular line
F(x)=+c and f(x)-c
The slope of a line containing two points

37. Is a standard quadratic function even - odd or neither?
Perpendicular line
Even
Y= then enter the number then press graph
Equation of a line

38. What is a constant function?
0<c<1 - horizontal stretching
F(x^1)=f(x^2)
Mirror image neg quadrant to that of the positive quandrant
Even

39. What shape is the standard quadratic function?
Parabola
A V
(f+g) - (f-g) - (fg) - (f/g) all of x
Identity

40. What is the formula for the standard cubic function?
(-infinity - +infinity)
Y=x - identity function
F(x)=x^3
Conditional

41. What is the slope of a perpendicular line?
Negative inverse
Y=x^2 - graph
Postiive slope
Even

42. What are the calculator instructions for the standard cubic function?
Y=x - identity function
Absolute Value - Constant and Standard Quadratic
X math 3 graph
F(x)=x^3

43. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Horizontal right
Inconsitent
F(x^1)=f(x^2)

44. What is an identity function?
X math 3 graph
(-infinity - +infinity)
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 degree angle

45. What is another way to write f(x)=x - what type of function is this?
Absolute Value - Constant and Standard Quadratic
Negative slope
The single number y=
Y=x - identity function

46. What are two examples of composit functions?
Perpendicular line
F of g and g of f
Cannot be drawn in quizlet
Y=x^2 - graph

47. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
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
As equations
F(x+c) and f(x-c)

48. What are the four steps for finding the inverse of a function?
M
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Parabola
X is the hours to repair the boat. $1603-532=anwser/63 = x

49. What is the range of the constant function?
F(x^1)=f(x^2)
Up
The single number y=
No because you cannot have one domain pointing at two y's or ranges

50. 4(x-7)=4x+28 is what type of an equation?
Line ascending to the right gradually
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Inconsitent
F(x+h)-f(x)/h h cannot equal zero