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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 is the vertical line formula?
X=a
(-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.
Horizontal

2. 4(x-7)=4x-28 is what type of an equation?
F(x+c) and f(x-c)
Identity
F(x)=IxI
0<c<1 - horizontal stretching

3. Which direction does f(x+c) move
Only one
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal left
Cannot be drawn in quizlet

4. Is a constant function even - odd or neither?
The opposite coordinates
Even
Any set of ordered pairs
F(x+c) and f(x-c)

5. What is the formula for the square root function?
Odd
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)=suare root of x
Square Root

6. What type of line is a constant function?
M
When does a graph not define y as a function of x?
Even
Horizontal

7. $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?
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
Conditional
F(x)=suare root of x
Conditional

8. Is the square root function odd - even or neither?
Neither
(-infinity - +infinity)
Inconsitent
4 -6 -9

9. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
The opposite coordinates
Undefined slope
4 -6 -9

10. What is the formula for the cube root function?
Y=x - identity function
Zero slope
Inconsitent
F(x)=3 square root x

11. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
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
Negative slope

12. What does the square root function look like on a graph?
The slope of a line containing two points
As equations
F(x)=suare root of x
Line ascending to the right gradually

13. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=10
X math 3 graph
Square Root
Yes - all the domains points to one range

14. What is a range?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Yes - all the domains points to one range
The second set of components of an ordered pair

15. What are the calculator instructions for the standard cubic function?
F(x2)-f(x1) / x2-x1
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
As many as you like

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

17. What is a constant function?
In a quotient
No because you cannot have one domain pointing at two y's or ranges
F(x^1)=f(x^2)
Identity

18. What is the formula for to calculate the difference of a quotient function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x+h)-f(x)/h h cannot equal zero
Up
(-infinity - +infinity)

19. What is a domain?
Horizontal
The first set of components of an ordered pair
Because the demintor of a quotient can never equal zero
F(x+c) and f(x-c)

20. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Odd
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Piecewise

21. Is an identity function even - odd or neither?
Equation of a line
F(x)=x^3
F of g and g of f
Odd

22. What does the graph of the cube root function look like on the graph?
Equation of a line
Undefined
Approach neg toward x through zero and above positive close to x
Negative slope

23. What direction does f(x)-c move in standard absolute value formula?
M
Down
(-infinity - +infinity)
Undefined slope

24. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal
X math 3 graph
1 -2 -3

25. What is the formula for slope?
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity
The first set of components of an ordered pair

26. What can we substitute for f(x)?
Change in y / change in x = rise / run = y2-y1 / x2-x1
A V
Y
Cannot be drawn in quizlet

27. What type of function would you use to calculate the most advantageous cell phone plan?
C>1 - horizontal shrinking
Piecewise
Horizontal left
Identity

28. 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.
Odd
When does a graph not define y as a function of x?
45 degree angle

29. What type of slope do you have when the line is horizontal and m=0?
Math 4 x - graph
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
Zero slope
The minimum or maximum points

30. Is an absolute value function even - odd or neither?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Even

31. What is the range of an identity function?
F(x)=x^3
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Parabola - up one and right three

32. A flat line underlining one vertical line is a symbol for...
In a quotient
F(x)=3 square root x
F(x)=suare root of x
Perpendicular line

33. What type of slope do you have when m=? and the line is vertical?
Undefined slope
F(x+h)-f(x)/h h cannot equal zero
The minimum or maximum points
F(x^1)=f(x^2)

34. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Even
X = the original sale price and the formula is x - .40x =$276
A line passing through two distinct points
X2-x1 because the demonaitor of a quotient can never equal zero

35. What does the standard cubic function look like on a graph?
Math 4 x - graph
2nd catalog (zero key -) abs(x) - graph
F(x^1)=f(x^2)
Mirror image neg quadrant to that of the positive quandrant

36. What is the formula in both horizontal stretching and horizontal shrinking?
A line passing through two distinct points
X^2
Line ascending to the right gradually
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

37. Is the standard cubic function odd - even or neither?
Odd
Y=IxI
The first set of components of an ordered pair
Even

38. What is the formula for an identity function?
Horizontal right
F(x) = x
When does a graph not define y as a function of x?
F(x+h)-f(x)/h h cannot equal zero

39. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
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
Because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x

40. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Horizontal
Odd
X math 3 graph

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

42. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Square Root
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero

43. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X^2
Equation of a line
Undefined
20+.05x=5+.10x x=minutes

44. What are the steps for solving a word problem?
[0 -+infinity)
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
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

45. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Cannot be drawn in quizlet
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
F(x)=suare root of x

46. What is the domain of a square root function?
Neither
Cannot be drawn in quizlet
[0 -+infinity)
A line passing through two distinct points

47. What is the standard quadratic function?
F(x)=+c and f(x)-c
Negative slope
[0 -+infinity)
X^2

48. What is the slope intercept formula? Define all the variables.
Y= then enter the number then press graph
X=a
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd key - x^2 - graph

49. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Parraelle line
Parraelle line
[0 -+infinity)

50. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
X=a
The slope of a line containing two points
Y=x^2 - graph