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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. x=all real numbers is what type of an equation?
Yes - all the domains points to one range
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
Identity
2nd catalog (zero key -) abs(x) - graph

2. What type of slope do you have when a line falls left to right and m<0?
Y=x - identity function
Negative slope
Absolute Value - Constant and Standard Quadratic
Odd

3. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Perpendicular line
Yes because two x's or domains can point to one y
4 -6 -9

4. Of the seven of algebra's common graph's how many are even?
Conditional
Absolute Value - Constant and Standard Quadratic
Square Root
In a quotient

5. What type of line is a constant function?
(-infinity - +infinity)
Even
The secant line
Horizontal

6. Two vertical lines side by side are a symbol for what
Parraelle line
X = the original sale price and the formula is x - .40x =$276
Parabola - up one and right three
Change in y / change in x = rise / run = y2-y1 / x2-x1

7. What type of slope do horizontal lines have?
Same
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Odd
Neither

8. What is the domain for the standard cubic function?
(-infinity - +infinity)
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
No because you cannot have one domain pointing at two y's or ranges
Y=10

9. Draw or discuss an increasing function
Y=x^2 - graph
[0 -+infinity)
Parabola
Cannot be drawn in quizlet

10. What does the absolute value function look like?
A V
Absolute Value - Constant and Standard Quadratic
The slope of a line containing two points
(-infinity - +infinity)

11. What is another way of writing the absolute value function?
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI
Horizontal right
Negative inverse

12. What is a domain?
The first set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsitent
Perpendicular line

13. How many ranges can you have for each domain?
2nd key - x^2 - graph
Three odd - cube root - identity - standard cubic
Piecewise
Only one

14. What are the four steps for solving a linear equation?
Inconsistant
The first set of components of an ordered pair
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.
As equations

15. What type of line is a constant function?
Horizontal
(-infinity - 0]you[0 - +infinity)
In a quotient
The first set of components of an ordered pair

16. What is the point slope formula and when do you use it?
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Horizontal left
1 -2 -3
The single number y=
Identity

18. What type of function would you use to calculate the most advantageous cell phone plan?
Horizontal left
The single number y=
Piecewise
Neither

19. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=IxI
Even
(-infinity - +infinity)

20. In an identity function if f(10)=x than What is y?
Horizontal right
Y=10
X = the original sale price and the formula is x - .40x =$276
Absolute Value - Constant and Standard Quadratic

21. Is an absolute value function even - odd or neither?
Three odd - cube root - identity - standard cubic
F(x)=x^3
Even
Conditional

22. In an identity function if f(10)=x than What is y?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Perpendicular line
Y=10

23. What is the formula for an identity function?
F(x) = x
No because you cannot have one domain pointing at two y's or ranges
F(x+c) and f(x-c)
Negative slope

24. x= a real number is what type of equation?
2nd key - x^2 - graph
Identity
Conditional
The first set of components of an ordered pair

25. What is the vertical line test?
Y=x^2 - graph
(-infinity - 0]you[0 - +infinity)
The secant line
When does a graph not define y as a function of x?

26. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
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 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(x)=IxI

27. What is the letter used to represent slope?
M
(f+g) - (f-g) - (fg) - (f/g) all of x
Identity
C>1 - horizontal shrinking

28. 4x+5x=8x is what type of an equation?
X=a
Conditional
The single number y=
Y=10

29. What is the standard quadratic function?
X^2
2nd catalog (zero key -) abs(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.
Parabola - up one and right three

30. Is a standard quadratic function even - odd or neither?
F(x+c) and f(x-c)
Even
Yes because two x's or domains can point to one y
(-infinity - +infinity)

31. What is the formula for slope?
F(x)=3 square root x
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.
A line passing through two distinct points

32. What is the formula for the square root function?
X=a
F(x)=suare root of x
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.

33. What is the vertex?
The minimum or maximum points
(-infinity - +infinity)
F(x)=x^3
0<c<1 - horizontal stretching

34. What is the domain for an absolute value function?
Y=IxI
As equations
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

35. What is a constant function?
As equations
Cannot be drawn in quizlet
F(x^1)=f(x^2)
F(x)=3 square root x

36. What is another way to write f(x)=x - what type of function is this?
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
Down
0<c<1 - horizontal stretching

37. x=no real numbers is what type of an equation?
(-infinity - +infinity)
(-infinity - +infinity)
Inconsistant
A line passing through two distinct points

38. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Because the demintor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]you[0 - +infinity)

39. What is the range of a square root function?
X2-x1 because the demonaitor of a quotient can never equal zero
Conditional
(-infinity - +infinity)
[0 -+infinity)

40. What is the domain and range of a constant function?
Odd
Identity
C>1 - horizontal shrinking
(-infinity - +infinity)

41. Is the standard cubic function odd - even or neither?
Parabola
(-infinity - +infinity)
Odd
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.

42. What equation does every line have? Discuss the variables.
Postiive slope
Identity
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.
(-infinity - +infinity)

43. Is the square root function odd - even or neither?
Equation of a line
Neither
Line ascending to the right gradually
Negative inverse

44. What is the slope of a perpendicular line?
Y
Negative inverse
Even
When does a graph not define y as a function of x?

45. 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?
Function notation
X is the hours to repair the boat. $1603-532=anwser/63 = x
Postiive slope
Cannot be drawn in quizlet

46. What is an identity function?
45 degree angle
(-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
As equations

47. How do you graph Ax+By+C=0?
The second set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Inconsistant

48. 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?
Piecewise
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=3 square root x
(-infinity - +infinity)

49. How do you calculate a constant function in your calculator?
2nd key - x^2 - graph
0<c<1 - horizontal stretching
Y= then enter the number then press graph
Y=x - identity function

50. What is the range for the standard cubic function?
In a quotient
X math 3 graph
(-infinity - +infinity)
20+.05x=5+.10x x=minutes