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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. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = 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
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)

2. What is the domain of an identity function?
Horizontal left
(-infinity - +infinity)
Parraelle line
Conditional

3. Is a constant function even - odd or neither?
Even
A V
Y= then enter the number then press graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

4. What type of line is a constant function?
Horizontal
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
Yes because two x's or domains can point to one y
Postiive slope

5. What is the formula for the cube root function?
F(x)=3 square root x
Neither
Undefined slope
Yes because two x's or domains can point to one y

6. What is the vertical line test?
When does a graph not define y as a function of x?
Neither
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional

7. How do you graph Ax+By+C=0?
Function notation
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined
Set the x and y to zero and get the intercepts and then plot the points

8. What are the calculator instructions for the standard cubic function?
X math 3 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
No because you cannot have one domain pointing at two y's or ranges
Mirror image neg quadrant to that of the positive quandrant

9. Draw or discuss an increasing function
Cannot be drawn in quizlet
F(x)=suare root of x
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)

10. What is the vertical line formula?
X=a
Parabola - up one and right three
No because you cannot have one domain pointing at two y's or ranges
The first set of components of an ordered pair

11. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Parabola - up one and right three
The first set of components of an ordered pair

12. Which direction does f(x+c) move
Perpendicular line
Horizontal left
A line passing through two distinct points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

13. What is a relation?
The minimum or maximum points
45 degree angle
Any set of ordered pairs
Conditional

14. y=f(cx) What does this formula represent?
X^2
Piecewise
Inconsitent
0<c<1 - horizontal stretching

15. What type of line is a constant function?
Same
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
No because you cannot have one domain pointing at two y's or ranges

16. f(x) = x^2+3x+5 - what type of formula is this?
Inconsistant
Parabola
F(x)=3 square root x
Function notation

17. What does linear equation mean?
C>1 - horizontal shrinking
Equation of a line
Odd
Even

18. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Y=x - identity 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 - 0]you[0 - +infinity)
Y=IxI

19. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
[0 -+infinity)
When does a graph not define y as a function of x?
Absolute Value - Constant and Standard Quadratic
4 -6 -9

20. Is the square root function odd - even or neither?
Absolute Value - Constant and Standard Quadratic
Y=IxI
0<c<1 - horizontal stretching
Neither

21. What is the range for a standard quadratic function?
F of g and g of f
Postiive slope
(-infinity - 0]you[0 - +infinity)
A V

22. What is a constant function?
As equations
F(x^1)=f(x^2)
Negative inverse
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

23. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
Yes - all the domains points to one range
Set the x and y to zero and get the intercepts and then plot the points

24. What is a range?
Y
Three odd - cube root - identity - standard cubic
Even
The second set of components of an ordered pair

25. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
Y=10
Y=x - identity function
F(x)=+c and f(x)-c

26. Is the square root function odd - even or neither?
As many as you like
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Neither

27. Two vertical lines side by side are a symbol for what
Parraelle line
2nd key - x^2 - graph
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

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

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29. 4x+5x=8x is what type of an equation?
Conditional
(-infinity - 0]you[0 - +infinity)
F(x)=x^3
Y=10

30. What is the range of the cube root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
In a quotient
The minimum or maximum points

31. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
X math 3 graph
F(x)=3 square root x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

32. What is the vertical line test?
Identity
X=a
X2-x1 because the demonaitor of a quotient can never equal zero
When does a graph not define y as a function of x?

33. What equation does every line have? Discuss the variables.
Y=x - identity function
Only one
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.
F(x) = x

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

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35. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
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.
Inconsitent
X2-x1 because the demonaitor of a quotient can never equal zero

36. x=no real numbers is what type of an equation?
Square Root
Odd
Yes because two x's or domains can point to one y
Inconsistant

37. What is the range of a square root function?
[0 -+infinity)
Function notation
Perpendicular line
2nd catalog (zero key -) abs(x) - graph

38. What are the four steps for finding the inverse of a function?
Y
X math 3 graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Any set of ordered pairs

39. Of the seven of algebra's common graph's how many are odd?
X = the original sale price and the formula is x - .40x =$276
Parabola - up one and right three
Three odd - cube root - identity - standard cubic
Odd

40. What are the calculator instructions for the standard cubic function?
Zero slope
X math 3 graph
F(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x

41. What is slope?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Any set of ordered pairs
Yes - all the domains points to one range
A line passing through two distinct points

42. What are two examples of composit functions?
The first set of components of an ordered pair
F of g and g of f
As equations
20+.05x=5+.10x x=minutes

43. What type of line is a constant function?
Square Root
Horizontal
Any set of ordered pairs
Cannot be drawn in quizlet

44. Draw or discuss a decreasing function
Down
F(x+c) and f(x-c)
Cannot be drawn in quizlet
In a quotient

45. What is the range for the standard cubic function?
Y=10
(-infinity - +infinity)
Negative slope
F(x+c) and f(x-c)

46. What type of line is an identity function?
The first set of components of an ordered pair
Horizontal left
45 degree angle
The secant line

47. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
Neither
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero

48. What is the domain of an identity function?
Absolute Value - Constant and Standard Quadratic
Neither
(-infinity - +infinity)
Y=IxI

49. What is a relation?
Y=IxI
2nd catalog (zero key -) abs(x) - graph
Any set of ordered pairs
(-infinity - +infinity)

50. What does the average rate of change formula solve?
Horizontal right
F(x+h)-f(x)/h h cannot equal zero
M
The slope of a line containing two points