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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 a relation?
Any set of ordered pairs
(-infinity - +infinity)
Odd
F(x)=IxI

2. What is the domain of the cube root function?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Y=IxI
2nd catalog (zero key -) abs(x) - graph

3. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10
X = the original sale price and the formula is x - .40x =$276
As equations

4. What is a relation?
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
Absolute Value - Constant and Standard Quadratic
Horizontal
Any set of ordered pairs

5. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
F of g and g of f

6. What are the algebra of functions?
Cannot be drawn in quizlet
2nd key - x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of 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

7. x=no real numbers is what type of an equation?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Inconsistant

8. Is an identity function even - odd or neither?
Parabola - up one and right three
Odd
Inconsitent
F(x)=x^3

9. What type of function would you use to calculate the most advantageous cell phone plan?
The slope of a line containing two points
Only one
Piecewise
Undefined slope

10. Is the standard cubic function odd - even or neither?
Even
Odd
(-infinity - +infinity)
F(x)=IxI

11. Draw or discuss an increasing function
Line ascending to the right gradually
Horizontal right
Cannot be drawn in quizlet
The second set of components of an ordered pair

12. What equation does every line have? Discuss the variables.
Negative slope
As many as you like
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.

13. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Inconsitent
Y=b
Piecewise

14. How do you graph Ax+By+C=0?
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)
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

15. What is the domain and range of a constant function?
Parabola - up one and right three
Y=10
X^2
(-infinity - +infinity)

16. In an identity function if f(10)=x than What is y?
As equations
Y=10
(-infinity - 0]you[0 - +infinity)
Y=x - identity function

17. What is the range of a square root function?
F(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
Identity

18. What can we substitute for f(x)?
(-infinity - +infinity)
45 degree angle
Y
Approach neg toward x through zero and above positive close to x

19. What are the four steps for finding the inverse of a function?
Horizontal right
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
Y=IxI

20. Draw or discuss a constant function
(-infinity - +infinity)
Cannot be drawn in quizlet
Identity
F(x^1)=f(x^2)

21. What type of slope do you have when a line falls left to right and m<0?
Negative slope
F(x)=suare root of x
Cannot be drawn in quizlet
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

22. y=f(cx) - What does this formula represent?
Only one
A line passing through two distinct points
C>1 - horizontal shrinking
Horizontal left

23. standard absolute value - vertical shift formulas for positve and negative
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
4 -6 -9
F(x)=+c and f(x)-c
(f+g) - (f-g) - (fg) - (f/g) all of x

24. x=all real numbers is what type of an equation?
Inconsistant
F(x)=3 square root x
Odd
Identity

25. What are two examples of composit functions?
(-infinity - +infinity)
F(x+c) and f(x-c)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F of g and g of f

26. Of the seven of algebra's common graph's how many are neither?
Square Root
X=a
Only one
Even

27. What are the calculator instructions for the cube root function?
Equation of a line
(-infinity - 0]you[0 - +infinity)
Identity
Math 4 x - graph

28. How many domains can you have pointing to one range?
As many as you like
Function notation
Parraelle line
F of g and g of f

29. What is the domain and range of a constant function?
F(x) = x
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Zero slope

30. What type of slope do vertical lines have?
Undefined
Identity
Parabola
Square Root

31. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
F(x)=+c and f(x)-c
F(x)=3 square root x
Y

32. What is the average rate of change formula?
Line ascending to the right gradually
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
(-infinity - +infinity)

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

34. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X = the original sale price and the formula is x - .40x =$276
2nd key - x^2 - graph
1 -2 -3
The secant line

35. What is the range for a standard quadratic function?
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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.
(-infinity - 0]you[0 - +infinity)

36. Draw or discuss a decreasing function
Cannot be drawn in quizlet
4 -6 -9
20+.05x=5+.10x x=minutes
Horizontal

37. 4(x-7)=4x+28 is what type of an equation?
Same
Inconsitent
C>1 - horizontal shrinking
4 -6 -9

38. y=f(cx) What does this formula represent?
20+.05x=5+.10x x=minutes
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
0<c<1 - horizontal stretching
Horizontal left

39. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Line ascending to the right gradually
Identity
X = the original sale price and the formula is x - .40x =$276

40. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
(-infinity - 0]you[0 - +infinity)
Perpendicular line
X is the hours to repair the boat. $1603-532=anwser/63 = x

41. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
(-infinity - +infinity)
Horizontal right
Parraelle line

42. What is another way to write f(x)=x - what type of function is this?
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
Y=x - identity function
X2-x1 because the demonaitor of a quotient can never equal zero

43. What type of slope do you have when m=? and the line is vertical?
(f+g) - (f-g) - (fg) - (f/g) all of x
Undefined slope
Y=10
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

44. What is the domain for an absolute value 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
As many as you like
20+.05x=5+.10x x=minutes

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

46. Which direction does f(x)=+c move in standard absolute value formula?
Y=IxI
Up
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x+h)-f(x)/h h cannot equal zero

47. What can never equal zero in the slope formula and why?
1 -2 -3
The slope of a line containing two points
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=suare root of x

48. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
Inconsistant
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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

49. What is the vertical line formula?
Horizontal
X=a
Equation of a line
Y=x - identity function

50. 4(x-7)=4x-28 is what type of an equation?
F(x2)-f(x1) / x2-x1
Y= then enter the number then press graph
Identity
Conditional