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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. $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?
The second set of components of an ordered pair
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
(f+g) - (f-g) - (fg) - (f/g) all of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

2. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
[0 -+infinity)
4 -6 -9
When does a graph not define y as a function of x?
Neither

3. What is the letter used to represent slope?
Neither
Inconsitent
Odd
M

4. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
A V
Piecewise
Neither

5. What does the square root function look like on a graph?
Line ascending to the right gradually
A line passing through two distinct points
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

6. What is a range?
Inconsitent
The second set of components of an ordered pair
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x^2 - graph

7. What is the horizontal line formula?
45 degree angle
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=b

8. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Cannot be drawn in quizlet
Function notation
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 - 0]you[0 - +infinity)

9. What are the four steps for solving a linear equation?
Undefined slope
2nd key - x^2 - 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.
Undefined

10. f(x) = x^2+3x+5 - what type of formula is this?
X = the original sale price and the formula is x - .40x =$276
Function notation
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal right

11. Draw or discuss a constant function
(-infinity - +infinity)
Cannot be drawn in quizlet
Undefined slope
F(x+h)-f(x)/h h cannot equal zero

12. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Function notation
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

13. What are the calculator instructions for absolute value?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x) = x
2nd catalog (zero key -) abs(x) - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

14. What does the standard cubic function look like on a graph?
The second set of components of an ordered pair
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Equation of a line
Mirror image neg quadrant to that of the positive quandrant

15. What is the range of the cube root function?
The secant line
F(x)=IxI
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)

16. What is the formula for an identity function?
F(x) = x
Zero slope
45 degree angle
(-infinity - +infinity)

17. standard absolute value - vertical shift formulas for positve and negative
Identity
When does a graph not define y as a function of x?
F(x)=+c and f(x)-c
Line ascending to the right gradually

18. Is a standard quadratic function even - odd or neither?
Y=x - identity function
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
Even
Parabola - up one and right three

19. x= a real number is what type of equation?
Conditional
Postiive slope
As equations
Y

20. standard absolute value - horizontal shift formulas for left and right
Y
M
F(x+c) and f(x-c)
Perpendicular line

21. What equation does every line have? Discuss the variables.
Y=b
F(x^1)=f(x^2)
(-infinity - +infinity)
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.

22. What can we substitute for f(x)?
As equations
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)
Y

23. What type of line is a constant function?
Same
M
Parabola
Horizontal

24. What does the absolute value function look like?
Square Root
A V
Parabola - up one and right three
(-infinity - +infinity)

25. How do you calculate a constant function in your calculator?
Any set of ordered pairs
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Y= then enter the number then press graph

26. What is a function?
45 degree angle
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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Up

27. What type of line is a constant function?
Even
F(x)=+c and f(x)-c
The secant line
Horizontal

28. What is the range for the standard cubic function?
Postiive slope
F(x)=3 square root x
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)

29. What is the standard quadratic function?
X^2
Odd
X is the hours to repair the boat. $1603-532=anwser/63 = x
The opposite coordinates

30. What type of slope do vertical lines have?
[0 -+infinity)
0<c<1 - horizontal stretching
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined

31. What does the average rate of change formula solve?
X math 3 graph
1 -2 -3
Horizontal
The slope of a line containing two points

32. What are the calculator instructions for absolute value?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Horizontal left
X=a

33. What shape is the standard quadratic function?
Parabola
Y=x^2 - graph
The slope of a line containing two points
[0 -+infinity)

34. What type of line is a constant function?
[0 -+infinity)
Horizontal
(-infinity - +infinity)
Y=IxI

35. What is an identity function?
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The secant line
(-infinity - +infinity)

36. What does linear equation mean?
F(x)=suare root of x
Equation of a line
A line passing through two distinct points
Down

37. What are the algebra of functions?
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x
Down
F of g and g of f

38. What is another way of writing the absolute value function?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Y=IxI
Horizontal left

39. x=no real numbers is what type of an equation?
Even
Square Root
Piecewise
Inconsistant

40. What is the domain of the cube root function?
Cannot be drawn in quizlet
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]you[0 - +infinity)

41. What is the formula for an absolute value function?
Same
When does a graph not define y as a function of x?
(-infinity - +infinity)
F(x)=IxI

42. Draw or discuss a constant function
Cannot be drawn in quizlet
Y=x - identity function
C>1 - horizontal shrinking
F(x)=x^3

43. What is a constant function?
[0 -+infinity)
2nd key - x^2 - graph
F(x^1)=f(x^2)
F(x)=+c and f(x)-c

44. What is the range for the standard cubic function?
(-infinity - +infinity)
F(x+c) and f(x-c)
Y= then enter the number then press graph
Even

45. 4(x-7)=4x+28 is what type of an equation?
F of g and g of f
45 degree angle
Math 4 x - graph
Inconsitent

46. What is the point slope formula and when do you use it?
Inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y
Piecewise

47. What is the formula for the cube root function?
Inconsistant
F(x)=+c and f(x)-c
F(x)=3 square root x
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

48. What is the range of the cube root function?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Odd
Same

49. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=+c and f(x)-c
Because the demintor of a quotient can never equal zero
Identity
Piecewise

50. What is the domain and range of a constant function?
(-infinity - +infinity)
F(x)=x^3
When does a graph not define y as a function of x?
The slope of a line containing two points