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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. Draw or discuss a constant 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.
Cannot be drawn in quizlet
F(x)=x^3
Y=b

2. 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(x+h)-f(x)/h h cannot equal zero
The opposite coordinates
Horizontal

3. y=f(cx) - What does this formula represent?
Undefined slope
45 degree angle
F(x) = x
C>1 - horizontal shrinking

4. What is the formula for the standard cubic function?
Any set of ordered pairs
F(x)=x^3
The secant line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

5. What is the domain for an absolute value function?
(-infinity - +infinity)
Same
Set the x and y to zero and get the intercepts and then plot the points
As many as you like

6. What is the domain for the standard cubic function?
Equation of a line
The second set of components of an ordered pair
Y=x - identity function
(-infinity - +infinity)

7. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Horizontal
1 -2 -3
Horizontal

8. What are the steps for solving a word problem?
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
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
As many as you like

9. Is the standard cubic function odd - even or neither?
F(x^1)=f(x^2)
Odd
F(x)=x^3
The single number y=

10. How many ranges can you have for each domain?
The slope of a line containing two points
Absolute Value - Constant and Standard Quadratic
Only one
Parabola - up one and right three

11. What are the calculator instructions for the standard cubic function?
X math 3 graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points
Y=IxI

12. x= a real number is what type of equation?
Absolute Value - Constant and Standard Quadratic
The minimum or maximum points
Conditional
Yes because two x's or domains can point to one y

13. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Square Root
Conditional

14. What is the point slope formula and when do you use it?
The minimum or maximum points
(-infinity - 0]you[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y

15. What is the slope of a perpendicular line?
Negative inverse
As equations
Piecewise
(-infinity - +infinity)

16. What is the horizontal line formula?
(-infinity - +infinity)
Parabola - up one and right three
Y=b
Piecewise

17. $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?
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
Approach neg toward x through zero and above positive close to x
Same
Cannot be drawn in quizlet

18. standard absolute value - vertical shift formulas for positve and negative
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
The secant line
F(x)=+c and f(x)-c

19. What type of line is a constant function?
Horizontal
Y=x^2 - graph
1 -2 -3
F(x2)-f(x1) / x2-x1

20. What is the formula for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Negative slope
Approach neg toward x through zero and above positive close to x
F(x)=IxI

21. What is the range for an absolute value function?
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
Conditional
45 degree angle
(-infinity - 0]you[0 - +infinity)

22. What are two examples of composit functions?
Cannot be drawn in quizlet
F of g and g of f
Same
[0 -+infinity)

23. Is the square root function odd - even or neither?
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
When does a graph not define y as a function of x?
Neither
Function notation

24. What does the square root function look like on a graph?
The minimum or maximum points
Perpendicular line
Identity
Line ascending to the right gradually

25. Which direction does f(x-c) move
Horizontal right
[0 -+infinity)
As many as you like
Parabola

26. What does the average rate of change formula solve?
Y
Y
The slope of a line containing two points
Inconsistant

27. What type of line is an identity function?
45 degree angle
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x
Conditional

28. What is the domain of an identity function?
(-infinity - +infinity)
When does a graph not define y as a function of x?
Inconsitent
Neither

29. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Function notation
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching
The secant line

30. What can we substitute for f(x)?
Y
Inconsitent
Identity
F(x^1)=f(x^2)

31. What does the square root function look like on a graph?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The slope of a line containing two points
Line ascending to the right gradually
F(x)=3 square root x

32. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
As many as you like
Odd
(-infinity - +infinity)

33. What does the graph of the cube root function look like on the graph?
Any set of ordered pairs
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Approach neg toward x through zero and above positive close to x

34. What is the vertical line test?
0<c<1 - horizontal stretching
Piecewise
X^2
When does a graph not define y as a function of x?

35. When is the only time (-infinity - +infinity) is not the domain?
X^2
In a quotient
(-infinity - +infinity)
Identity

36. 4(x-7)=4x+28 is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Inconsitent
(-infinity - +infinity)
Yes because two x's or domains can point to one y

37. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
X^2
X = the original sale price and the formula is x - .40x =$276
Horizontal

38. Draw or discuss a constant function
Cannot be drawn in quizlet
Y=x - identity function
[0 -+infinity)
Piecewise

39. What is the slope of a perpendicular line?
Negative inverse
(-infinity - +infinity)
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

40. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
F(x)=+c and f(x)-c
The secant line
Line ascending to the right gradually

41. standard absolute value - horizontal shift formulas for left and right
20+.05x=5+.10x x=minutes
F(x+c) and f(x-c)
4 -6 -9
Y= then enter the number then press graph

42. What is the formula for an identity function?
Square Root
Square Root
F(x) = x
Even

43. What are the calculator instructions for the cube root function?
Math 4 x - graph
The slope of a line containing two points
Horizontal right
A line passing through two distinct points

44. How many domains can you have pointing to one range?
Cannot be drawn in quizlet
As many as you like
Negative slope
The minimum or maximum points

45. What is the domain of a square root function?
Horizontal
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
[0 -+infinity)

46. 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?
F(x+c) and f(x-c)
X is the hours to repair the boat. $1603-532=anwser/63 = x
The secant line
(-infinity - +infinity)

47. Two vertical lines side by side are a symbol for what
Parraelle line
Identity
Square Root
(-infinity - +infinity)

48. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
No because you cannot have one domain pointing at two y's or ranges
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
The opposite coordinates

49. What is the formula for the standard cubic function?
(-infinity - 0]you[0 - +infinity)
F(x)=x^3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Up

50. What is the standard quadratic function?
Parabola
X^2
Perpendicular line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly