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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. What are the four steps for solving a linear equation?
Y=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.
F of g and g of f
Parraelle line

2. Two vertical lines side by side are a symbol for what
Parabola
Parraelle line
Function notation
Horizontal

3. What is an identity function?
45 degree angle
Odd
The second set of components of an ordered pair
Parabola - up one and right three

4. 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.
Even
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function

5. Two vertical lines side by side are a symbol for what
Even
Y=IxI
Parraelle line
(-infinity - +infinity)

6. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Cannot be drawn in quizlet
4 -6 -9
Y=x - identity function
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

7. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
The first set of components of an ordered pair
The slope of a line containing two points

8. What does linear equation mean?
0<c<1 - horizontal stretching
Y= then enter the number then press graph
Even
Equation of a line

9. What does the average rate of change formula solve?
Y= then enter the number then press graph
The slope of a line containing two points
Change in y / change in x = rise / run = y2-y1 / x2-x1
Math 4 x - graph

10. Why can h not equal zero in the difference of a quotient function formula?
Conditional
The single number y=
Because the demintor of a quotient can never equal zero
Math 4 x - graph

11. What are the four steps for finding the inverse of a function?
45 degree angle
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

12. What is a domain?
20+.05x=5+.10x x=minutes
The first set of components of an ordered pair
45 degree angle
Inconsitent

13. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Because the demintor of a quotient can never equal zero
Parabola - up one and right three
Identity

14. x=no real numbers is what type of an equation?
Inconsistant
The secant line
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]you[0 - +infinity)

15. 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
As many as you like
C>1 - horizontal shrinking
Approach neg toward x through zero and above positive close to x

16. What is the range of a square root function?
Perpendicular line
Horizontal
[0 -+infinity)
Y=IxI

17. What are the calculator instructions for absolute value?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
When does a graph not define y as a function of x?

18. When is the only time (-infinity - +infinity) is not the domain?
F of g and g of f
In a quotient
F of g and g of f
Parabola - up one and right three

19. f(x) = x^2+3x+5 - what type of formula is this?
45 degree angle
Cannot be drawn in quizlet
Function notation
X = the original sale price and the formula is x - .40x =$276

20. 4x+5x=8x is what type of an equation?
F(x^1)=f(x^2)
Approach neg toward x through zero and above positive close to x
Conditional
Only one

21. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Absolute Value - Constant and Standard Quadratic
Horizontal
20+.05x=5+.10x x=minutes
Piecewise

22. What are the calculator instructions for the cube root function?
Y
Math 4 x - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsistant

23. What is the slope of a perpendicular line?
(-infinity - +infinity)
Negative inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x2)-f(x1) / x2-x1

24. What is the domain of a square root function?
X2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
Y
[0 -+infinity)

25. Which direction does f(x-c) move
Even
F(x+h)-f(x)/h h cannot equal zero
Horizontal right
Parabola - up one and right three

26. Draw or discuss an increasing function
Neither
The secant line
Cannot be drawn in quizlet
(-infinity - +infinity)

27. How would this formula move f(x)=(x+1)^2-3
Perpendicular line
Parabola - up one and right three
The opposite coordinates
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

28. What shape is the standard quadratic function?
Parabola
C>1 - horizontal shrinking
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
Down

29. What type of slope do you have when a line rises from left to right and m>0?
Negative slope
Postiive slope
Zero slope
Change in y / change in x = rise / run = y2-y1 / x2-x1

30. What is the horizontal line formula?
Undefined
Y=b
Inconsitent
Horizontal

31. What direction does f(x)-c move in standard absolute value formula?
Down
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Parabola - up one and right three
(-infinity - +infinity)

32. What does the absolute value function look like?
2nd key - x^2 - graph
Odd
(-infinity - 0]you[0 - +infinity)
A V

33. A flat line underlining one vertical line is a symbol for...
As equations
Identity
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
Perpendicular line

34. Is the standard cubic function odd - even or neither?
Odd
Three odd - cube root - identity - standard cubic
F(x2)-f(x1) / x2-x1
X is the hours to repair the boat. $1603-532=anwser/63 = x

35. 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
F(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]you[0 - +infinity)

36. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Parraelle line
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
X=a

37. What does the square root function look like on a graph?
F(x)=x^3
Line ascending to the right gradually
X^2
2nd catalog (zero key -) abs(x) - graph

38. What type of slope do horizontal lines have?
Undefined
Same
Postiive slope
X = the original sale price and the formula is x - .40x =$276

39. What is the formula in both horizontal stretching and horizontal shrinking?
0<c<1 - horizontal stretching
Only one
F(x)=x^3
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

40. What is the formula for an identity function?
Piecewise
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(x) = x
Undefined

41. What is the range of the constant function?
The single number y=
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

42. What is a range?
Y=x^2 - graph
A V
The second set of components of an ordered pair
Cannot be drawn in quizlet

43. What is the horizontal line formula?
1 -2 -3
As many as you like
Math 4 x - graph
Y=b

44. x= a real number is what type of equation?
(-infinity - +infinity)
1 -2 -3
Conditional
Inconsistant

45. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Absolute Value - Constant and Standard Quadratic
As many as you like
Undefined

46. In an identity function if f(10)=x than What is y?
As many as you like
Mirror image neg quadrant to that of the positive quandrant
Y=10
(-infinity - 0]you[0 - +infinity)

47. When is the only time (-infinity - +infinity) is not the domain?
4 -6 -9
(-infinity - +infinity)
Piecewise
In a quotient

48. Draw or discuss a decreasing function
The opposite coordinates
Cannot be drawn in quizlet
(-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

49. Is a constant function even - odd or neither?
(-infinity - +infinity)
Even
Horizontal right
Parabola - up one and right three

50. y=f(cx) - What does this formula represent?
F(x)=3 square root x
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
(-infinity - +infinity)