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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. Which direction does f(x-c) move
Horizontal right
(-infinity - 0]you[0 - +infinity)
Math 4 x - graph
A V

2. What are the steps for solving a word problem?
X=a
F(x)=+c and f(x)-c
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.
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

3. What is the formula for slope?
Y=IxI
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=suare root of x

4. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
[0 -+infinity)
[0 -+infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

5. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Parraelle line
Negative slope
Horizontal left

6. What is an identity function?
45 degree angle
When does a graph not define y as a function of x?
The second set of components of an ordered pair
2nd key - x^2 - graph

7. What is the formula in both horizontal stretching and horizontal shrinking?
Parabola
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Zero slope
As many as you like

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?
Horizontal left
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
Approach neg toward x through zero and above positive close to x

9. x= a real number is what type of 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.
F of g and g of f
The secant line
Conditional

10. Two vertical lines side by side are a symbol for what
Zero slope
Parraelle line
The first set of components of an ordered pair
Because the demintor of a quotient can never equal zero

11. How many domains can you have pointing to one range?
As many as you like
Three odd - cube root - identity - standard cubic
Postiive slope
The first set of components of an ordered pair

12. What type of slope do you have when m=? and the line is vertical?
Undefined slope
X^2
Postiive slope
Negative inverse

13. What is the vertical line test?
Undefined slope
When does a graph not define y as a function of x?
Conditional
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

14. What is the domain for the standard cubic function?
(-infinity - +infinity)
F(x) = x
Y= then enter the number then press graph
Horizontal right

15. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Equation of a line
Zero slope

16. Which direction does f(x+c) move
(-infinity - +infinity)
Only one
Postiive slope
Horizontal left

17. What are the calculator instructions for the cube root function?
Horizontal
(-infinity - +infinity)
Math 4 x - graph
Down

18. What equation does every line have? Discuss the variables.
Y=x^2 - graph
Even
Postiive slope
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.

19. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Math 4 x - graph
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.

20. 4(x-7)=4x-28 is what type of an equation?
Identity
Odd
F of g and g of f
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

21. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
No because you cannot have one domain pointing at two y's or ranges
Y=x^2 - graph
Perpendicular line
1 -2 -3

22. What is the range of a square root function?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
(-infinity - +infinity)
[0 -+infinity)

23. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Horizontal
F(x2)-f(x1) / x2-x1
Y

24. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Even
Absolute Value - Constant and Standard Quadratic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

25. Which direction does f(x-c) move
The slope of a line containing two points
Horizontal right
Yes because two x's or domains can point to one y
(-infinity - +infinity)

26. x=no real numbers is what type of an equation?
Cannot be drawn in quizlet
Inconsistant
(f+g) - (f-g) - (fg) - (f/g) all of x
As many as you like

27. f(x) = x^2+3x+5 - what type of formula is this?
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.
Function notation
Even
Up

28. In an identity function if f(10)=x than What is y?
Approach neg toward x through zero and above positive close to x
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph
Y=10

29. y=f(cx) What does this formula represent?
Parabola - up one and right three
(-infinity - +infinity)
(-infinity - +infinity)
0<c<1 - horizontal stretching

30. standard absolute value - horizontal shift formulas for left and right
Even
Parraelle line
F(x+c) and f(x-c)
F of g and g of f

31. How would this formula move f(x)=(x+1)^2-3
Change in y / change in x = rise / run = y2-y1 / x2-x1
Absolute Value - Constant and Standard Quadratic
Parabola - up one and right three
F(x2)-f(x1) / x2-x1

32. Why can h not equal zero in the difference of a quotient function formula?
Odd
F(x) = x
Because the demintor of a quotient can never equal zero
[0 -+infinity)

33. What is the formula in both horizontal stretching and horizontal shrinking?
F(x)=+c and f(x)-c
Cannot be drawn in quizlet
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

34. What type of line is a constant function?
Horizontal
Undefined
The secant line
Y= then enter the number then press graph

35. What shape is the standard quadratic function?
Parabola
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The slope of a line containing two points
Down

36. What is another way to write f(x)=x - what type of function is this?
Postiive slope
As many as you like
X math 3 graph
Y=x - identity function

37. 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?
A line passing through two distinct points
X is the hours to repair the boat. $1603-532=anwser/63 = x
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points

38. What type of slope do horizontal lines have?
Same
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.
2nd key - x^2 - graph
(-infinity - +infinity)

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

40. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Y=x - identity function
20+.05x=5+.10x x=minutes
The opposite coordinates
(-infinity - +infinity)

41. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined slope

42. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
(-infinity - +infinity)
Even
The secant line

43. What are the calculator instructions for a standard quadratic equation?
(-infinity - 0]you[0 - +infinity)
Y=x^2 - graph
The first set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant

44. What is the formula for an absolute value function?
F(x)=IxI
Negative slope
Identity
F(x)=+c and f(x)-c

45. standard absolute value - vertical shift formulas for positve and negative
4 -6 -9
Piecewise
F(x)=+c and f(x)-c
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

46. What shape is the standard quadratic function?
(-infinity - +infinity)
Odd
1 -2 -3
Parabola

47. A flat line underlining one vertical line is a symbol for...
Horizontal right
Perpendicular line
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant

48. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Change in y / change in x = rise / run = y2-y1 / x2-x1
Postiive slope
Only one

49. What is the formula for the square root function?
Parabola
F(x^1)=f(x^2)
F(x)=suare root of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

50. What are the four steps for solving a linear equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
[0 -+infinity)
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.