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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 finding the inverse of a function?
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
45 degree angle
Same

2. What shape is the standard quadratic function?
A V
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.
Down
Parabola

3. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Horizontal right

4. standard absolute value - vertical shift formulas for positve and negative
Cannot be drawn in quizlet
(-infinity - +infinity)
Cannot be drawn in quizlet
F(x)=+c and f(x)-c

5. What is the horizontal line formula?
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
Set the x and y to zero and get the intercepts and then plot the points
Approach neg toward x through zero and above positive close to x
Y=b

6. What shape is the standard quadratic function?
F(x)=+c and f(x)-c
Horizontal
Parabola
(-infinity - 0]you[0 - +infinity)

7. x=all real numbers is what type of an equation?
The opposite coordinates
Identity
X = the original sale price and the formula is x - .40x =$276
Negative slope

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

9. What is the formula for to calculate the difference of a quotient function?
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+h)-f(x)/h h cannot equal zero
Y=b

10. What are the calculator instructions for absolute value?
Identity
20+.05x=5+.10x x=minutes
2nd catalog (zero key -) abs(x) - graph
Identity

11. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Line ascending to the right gradually
Parabola - up one and right three
Undefined slope

12. What direction does f(x)-c move in standard absolute value formula?
(-infinity - +infinity)
Down
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd catalog (zero key -) abs(x) - graph

13. What is slope?
When does a graph not define y as a function of x?
A line passing through two distinct points
2nd key - x^2 - graph
Horizontal

14. What is a relation?
Same
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Any set of ordered pairs

15. Of the seven of algebra's common graph's how many are odd?
As many as you like
Three odd - cube root - identity - standard cubic
X2-x1 because the demonaitor of a quotient can never equal zero
Y=IxI

16. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Approach neg toward x through zero and above positive close to x
F(x)=suare root of x
Conditional

17. What type of slope do you have when m=? and the line is vertical?
The single number y=
Horizontal right
Undefined slope
[0 -+infinity)

18. What are the calculator instructions for a square root function?
Square Root
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=IxI
2nd key - x^2 - graph

19. Draw or discuss an increasing function
X^2
F(x+h)-f(x)/h h cannot equal zero
Equation of a line
Cannot be drawn in quizlet

20. x= a real number is what type of equation?
Identity
A line passing through two distinct points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional

21. What type of slope do horizontal lines have?
Odd
Same
Y=10
Conditional

22. How are functions normally written?
(-infinity - +infinity)
Perpendicular line
As equations
A V

23. What type of line is an identity function?
[0 -+infinity)
Perpendicular line
(-infinity - +infinity)
45 degree angle

24. What does the standard cubic function look like on a graph?
Up
Mirror image neg quadrant to that of the positive quandrant
F(x)=+c and f(x)-c
Undefined slope

25. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Inconsistant
X = the original sale price and the formula is x - .40x =$276
As equations
Horizontal

26. What can never equal zero in the slope formula and why?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Even
Horizontal left
X2-x1 because the demonaitor of a quotient can never equal zero

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

28. What are the four steps for solving a linear equation?
(-infinity - +infinity)
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.
2nd key - x^2 - graph
The second set of components of an ordered pair

29. What type of line is an identity function?
45 degree angle
No because you cannot have one domain pointing at two y's or ranges
F(x)=x^3
(-infinity - 0]you[0 - +infinity)

30. f(x) = x^2+3x+5 - what type of formula is this?
Horizontal
Function notation
Identity
The minimum or maximum points

31. What is the domain of the cube root function?
(-infinity - +infinity)
Postiive slope
Any set of ordered pairs
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.

32. What type of slope do you have when a line rises from left to right and m>0?
A line passing through two distinct points
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
Square Root
Postiive slope

33. What is the vertical line formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Same
X=a
Neither

34. What is the range for the standard cubic function?
2nd key - x^2 - graph
(-infinity - +infinity)
Zero slope
The second set of components of an ordered pair

35. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X is the hours to repair the boat. $1603-532=anwser/63 = x
Yes - all the domains points to one range
Math 4 x - graph

36. What is another way to write f(x)=x - what type of function is this?
As equations
Parabola - up one and right three
Three odd - cube root - identity - standard cubic
Y=x - identity function

37. What does the absolute value function look like?
The opposite coordinates
Odd
Cannot be drawn in quizlet
A V

38. What is the domain of an identity function?
(-infinity - +infinity)
F of g and g of f
Line ascending to the right gradually
Y=b

39. What is a function?
45 degree angle
Neither
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even

40. What is the range of a square root function?
[0 -+infinity)
Inconsistant
Function notation
Undefined slope

41. What is the slope intercept formula? Define all the variables.
Down
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Math 4 x - graph

42. What direction does f(x)-c move in standard absolute value formula?
Cannot be drawn in quizlet
The second set of components of an ordered pair
Horizontal left
Down

43. What is the domain for the standard cubic function?
Even
(-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
F(x)=+c and f(x)-c

44. How many domains can you have pointing to one range?
As many as you like
Equation of a line
The minimum or maximum points
Y= then enter the number then press graph

45. Draw or discuss a constant function
Postiive slope
Absolute Value - Constant and Standard Quadratic
F(x)=3 square root x
Cannot be drawn in quizlet

46. What is the formula in both horizontal stretching and horizontal shrinking?
Cannot be drawn in quizlet
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
(-infinity - 0]you[0 - +infinity)

47. What can we substitute for f(x)?
Y
The opposite coordinates
Horizontal left
Parraelle line

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
F(x2)-f(x1) / x2-x1
0<c<1 - horizontal stretching
When does a graph not define y as a function of x?

49. y=f(cx) - What does this formula represent?
Down
X is the hours to repair the boat. $1603-532=anwser/63 = x
C>1 - horizontal shrinking
Even

50. What type of line is a constant function?
Function notation
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Horizontal