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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. Of the seven of algebra's common graph's how many are even?
Undefined
Absolute Value - Constant and Standard Quadratic
Conditional
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

2. What is the vertex?
C>1 - horizontal shrinking
45 degree angle
The minimum or maximum points
Odd

3. standard absolute value - vertical shift formulas for positve and negative
Set the x and y to zero and get the intercepts and then plot the points
Negative slope
F(x)=+c and f(x)-c
F(x2)-f(x1) / x2-x1

4. What is the slope of a perpendicular line?
Y=b
(-infinity - 0]you[0 - +infinity)
Negative inverse
Negative slope

5. What is the point slope formula and when do you use it?
Parabola
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet
Cannot be drawn in quizlet

6. Draw or discuss a decreasing function
Any set of ordered pairs
(-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
Cannot be drawn in quizlet

7. What is the range of a square root function?
[0 -+infinity)
F(x) = x
Undefined
Math 4 x - graph

8. $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?
Negative slope
Parabola
Yes because two x's or domains can point to one y
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

9. x=all real numbers is what type of an equation?
Same
Y=IxI
Identity
Conditional

10. What is a function?
Negative slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal right
Yes because two x's or domains can point to one y

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

12. Is an identity function even - odd or neither?
Y
Postiive slope
The secant line
Odd

13. What equation does every line have? Discuss the variables.
45 degree angle
Absolute Value - Constant and Standard Quadratic
Even
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.

14. What does the average rate of change formula solve?
The slope of a line containing two points
Piecewise
Parraelle line
Conditional

15. Draw or discuss a constant function
X math 3 graph
Cannot be drawn in quizlet
Parabola
Three odd - cube root - identity - standard cubic

16. Which direction does f(x)=+c move in standard absolute value formula?
Y=x^2 - graph
Up
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
Cannot be drawn in quizlet

17. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Parraelle line
Parraelle line
Undefined
X = the original sale price and the formula is x - .40x =$276

18. What is a function?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
As equations

19. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
Absolute Value - Constant and Standard Quadratic

20. Draw or discuss an increasing 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.
The single number y=
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

21. 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
Y=b
0<c<1 - horizontal stretching
F of g and g of f

22. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Set the x and y to zero and get the intercepts and then plot the points

23. 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?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd catalog (zero key -) abs(x) - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x^2 - graph

24. What does the graph of the cube root function look like on the graph?
4 -6 -9
Parabola - up one and right three
Approach neg toward x through zero and above positive close to x
X2-x1 because the demonaitor of a quotient can never equal zero

25. How do you calculate a constant function in your calculator?
[0 -+infinity)
Same
Y= then enter the number then press graph
(-infinity - +infinity)

26. When is the only time (-infinity - +infinity) is not the domain?
A V
F(x)=+c and f(x)-c
In a quotient
X is the hours to repair the boat. $1603-532=anwser/63 = x

27. What is the standard quadratic function?
F(x^1)=f(x^2)
F(x^1)=f(x^2)
X is the hours to repair the boat. $1603-532=anwser/63 = x
X^2

28. Draw or discuss a constant function
Cannot be drawn in quizlet
Math 4 x - graph
X2-x1 because the demonaitor of a quotient can never equal zero
X2-x1 because the demonaitor of a quotient can never equal zero

29. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
When does a graph not define y as a function of x?
Line ascending to the right gradually
X2-x1 because the demonaitor of a quotient can never equal zero

30. What type of slope do you have when m=? and the line is vertical?
Undefined slope
X math 3 graph
Odd
(-infinity - +infinity)

31. What is the range for the standard cubic function?
X math 3 graph
The slope of a line containing two points
(-infinity - +infinity)
Y=10

32. What equation does every line have? Discuss the variables.
45 degree angle
Cannot be drawn in quizlet
Inconsitent
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.

33. What is the formula for to calculate the difference of a quotient function?
Math 4 x - graph
F(x+h)-f(x)/h h cannot equal zero
Piecewise
Horizontal left

34. Is a constant function even - odd or neither?
20+.05x=5+.10x x=minutes
As equations
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. What is a constant 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 - +infinity)
Line ascending to the right gradually
F(x^1)=f(x^2)

36. What are the steps for solving a word problem?
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
Cannot be drawn in quizlet
Any set of ordered pairs
(-infinity - +infinity)

37. What is the formula for an absolute value function?
F(x)=IxI
F(x)=+c and f(x)-c
Horizontal right
(-infinity - +infinity)

38. What is a domain?
The first set of components of an ordered pair
Yes because two x's or domains can point to one y
45 degree angle
20+.05x=5+.10x x=minutes

39. What does the absolute value function look like?
A V
Y=x - identity function
Identity
The opposite coordinates

40. How many domains can you have pointing to one range?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
As many as you like
The single number y=

41. 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?
(-infinity - +infinity)
Yes - all the domains points to one range
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x) = x

42. Draw or discuss a decreasing function
Cannot be drawn in quizlet
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
X=a

43. What are the four steps for solving a linear equation?
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.
45 degree angle
F(x+c) and f(x-c)
2nd key - x^2 - graph

44. Which direction does f(x-c) move
Y=x^2 - graph
Parraelle line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal right

45. What is the domain for the standard cubic function?
20+.05x=5+.10x x=minutes
Piecewise
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

46. What is the range of the cube root function?
The minimum or maximum points
Odd
(-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

47. y=f(cx) - What does this formula represent?
Same
C>1 - horizontal shrinking
X is the hours to repair the boat. $1603-532=anwser/63 = x
Parabola

48. What is the domain and range of a constant 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
(-infinity - +infinity)
Y= then enter the number then press graph
[0 -+infinity)

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

50. What are the calculator instructions for a standard quadratic equation?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
Y=x^2 - graph
When does a graph not define y as a function of x?