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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=all real numbers is what type of an equation?
F(x+c) and f(x-c)
The minimum or maximum points
Identity
F(x)=x^3

2. What is the range for a standard quadratic function?
(-infinity - +infinity)
Y=b
(-infinity - 0]you[0 - +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

3. Is the standard cubic function odd - even or neither?
2nd catalog (zero key -) abs(x) - graph
Odd
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
Horizontal

4. What are the steps for solving a word problem?
F(x+h)-f(x)/h h cannot equal zero
Y
Undefined
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

5. What type of slope do horizontal lines have?
F(x+c) and f(x-c)
Three odd - cube root - identity - standard cubic
Same
Even

6. Is an absolute value function even - odd or neither?
Cannot be drawn in quizlet
Y=10
Any set of ordered pairs
Even

7. Is an identity function even - odd or neither?
Y
Odd
F(x+c) and f(x-c)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

8. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Y=IxI
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.
Down

9. What is the slope intercept formula? Define all the variables.
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Absolute Value - Constant and Standard Quadratic

10. standard absolute value - vertical shift formulas for positve and negative
Three odd - cube root - identity - standard cubic
Parraelle line
F(x)=+c and f(x)-c
Y=10

11. What is the slope of a perpendicular line?
Negative inverse
Conditional
Parraelle line
As many as you like

12. What is another way of writing the absolute value function?
(-infinity - +infinity)
Y=IxI
(-infinity - +infinity)
Square Root

13. What is the formula for the square root function?
The slope of a line containing two points
Conditional
45 degree angle
F(x)=suare root of x

14. Draw or discuss a decreasing function
The slope of a line containing two points
Set the x and y to zero and get the intercepts and then plot the points
Y
Cannot be drawn in quizlet

15. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic

16. How do you graph Ax+By+C=0?
X^2
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

17. What is the formula for an absolute value 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.
Set the x and y to zero and get the intercepts and then plot the points
F(x)=IxI
X = the original sale price and the formula is x - .40x =$276

18. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
The single number y=
The minimum or maximum points
Only one
1 -2 -3

19. Which direction does f(x-c) move
F(x)=suare root of x
Horizontal right
Y=x - identity function
Horizontal

20. What is an identity function?
20+.05x=5+.10x x=minutes
F(x)=3 square root x
(-infinity - +infinity)
45 degree angle

21. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Negative inverse
X is the hours to repair the boat. $1603-532=anwser/63 = x
Up
(-infinity - +infinity)

22. $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?
Horizontal right
As equations
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)

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

24. What is the range for the standard cubic function?
(-infinity - +infinity)
As equations
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.
X2-x1 because the demonaitor of a quotient can never equal zero

25. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
A line passing through two distinct points
Conditional
M

26. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
F(x2)-f(x1) / x2-x1
As many as you like
(-infinity - +infinity)

27. In an identity function if f(10)=x than What is y?
The opposite coordinates
Yes because two x's or domains can point to one y
Y=x - identity function
Y=10

28. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
F(x)=IxI
X = the original sale price and the formula is x - .40x =$276
Perpendicular line

29. What does the square root function look like on a graph?
Conditional
Line ascending to the right gradually
Down
The slope of a line containing two points

30. x=no real numbers is what type of an equation?
M
Horizontal right
Up
Inconsistant

31. What type of line is an identity function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
Cannot be drawn in quizlet
The secant line

32. What direction does f(x)-c move in standard absolute value formula?
Negative inverse
Cannot be drawn in quizlet
Down
Parraelle line

33. What type of function would you use to calculate the most advantageous cell phone plan?
When does a graph not define y as a function of x?
Any set of ordered pairs
Piecewise
Up

34. Why can h not equal zero in the difference of a quotient function formula?
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.
Because the demintor of a quotient can never equal zero
(-infinity - 0]you[0 - +infinity)
Yes - all the domains points to one range

35. What is slope?
A line passing through two distinct points
4 -6 -9
Absolute Value - Constant and Standard Quadratic
Inconsitent

36. What is the range of the constant function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
The single number y=
The opposite coordinates
F(x)=IxI

37. What is the point slope formula and when do you use it?
As many as you like
X2-x1 because the demonaitor of a quotient can never equal zero
X=a
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

38. x=no real numbers is what type of an equation?
Perpendicular 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
Horizontal left
Inconsistant

39. Which direction does f(x+c) move
The second set of components of an ordered pair
Square Root
Horizontal left
X = the original sale price and the formula is x - .40x =$276

40. What are the calculator instructions for the standard cubic function?
X math 3 graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
0<c<1 - horizontal stretching
Undefined

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

42. What is the domain and range of a constant function?
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
(-infinity - +infinity)
Cannot be drawn in quizlet

43. What is the domain for an absolute value function?
(-infinity - +infinity)
Undefined
Conditional
Y=IxI

44. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Negative inverse
(-infinity - +infinity)
Yes because two x's or domains can point to one y

45. What type of slope do you have when m=? and the line is vertical?
Yes - all the domains points to one range
Undefined slope
Inconsitent
Even

46. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Any set of ordered pairs
Up
Even

47. How do you graph Ax+By+C=0?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal right
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points

48. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Identity

49. Of the seven of algebra's common graph's how many are even?
The single number y=
(-infinity - +infinity)
Undefined slope
Absolute Value - Constant and Standard Quadratic

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