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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. Which direction does f(x+c) move
Horizontal left
Even
F(x+c) and f(x-c)
F(x+h)-f(x)/h h cannot equal zero

2. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
In a quotient
20+.05x=5+.10x x=minutes
X=a
F of g and g of f

3. How are functions normally written?
Perpendicular line
Y= then enter the number then press graph
F(x+h)-f(x)/h h cannot equal zero
As equations

4. What is the average rate of change formula?
45 degree angle
Yes because two x's or domains can point to one y
X2-x1 because the demonaitor of a quotient can never equal zero
F(x2)-f(x1) / x2-x1

5. What shape is the standard quadratic function?
Parabola - up one and right three
Parabola
(-infinity - +infinity)
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.

6. What are the steps for solving a word problem?
(-infinity - +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
Line ascending to the right gradually
Inconsitent

7. What type of slope do horizontal lines have?
(-infinity - +infinity)
45 degree angle
Same
2nd catalog (zero key -) abs(x) - graph

8. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
F(x)=x^3
(-infinity - 0]you[0 - +infinity)
F(x)=x^3
1 -2 -3

9. What is the range of an identity function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x) = x
C>1 - horizontal shrinking
(-infinity - +infinity)

10. standard absolute value - vertical shift formulas for positve and negative
Parabola
Even
F(x)=+c and f(x)-c
When does a graph not define y as a function of x?

11. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Yes - all the domains points to one range
Zero slope
Conditional

12. What is the formula in both horizontal stretching and horizontal shrinking?
C>1 - horizontal shrinking
The second set of components of an ordered pair
20+.05x=5+.10x x=minutes
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

13. What are the calculator instructions for the standard cubic function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X math 3 graph
Mirror image neg quadrant to that of the positive quandrant
Postiive slope

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

15. Of the seven of algebra's common graph's how many are odd?
Horizontal right
Y= then enter the number then press graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Three odd - cube root - identity - standard cubic

16. What is a range?
45 degree angle
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
The second set of components of an ordered pair

17. 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?
Odd
Conditional
Even
X is the hours to repair the boat. $1603-532=anwser/63 = x

18. What are the four steps for solving a linear equation?
Cannot be drawn in quizlet
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
[0 -+infinity)

19. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Line ascending to the right gradually
Horizontal
Only one

20. In an identity function if f(10)=x than What is y?
Math 4 x - graph
Inconsistant
F(x)=3 square root x
Y=10

21. A flat line underlining one vertical line is a symbol for...
Odd
Even
The single number y=
Perpendicular line

22. What does the square root function look like on a graph?
When does a graph not define y as a function of x?
No because you cannot have one domain pointing at two y's or ranges
Line ascending to the right gradually
Y=10

23. What type of line is a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching
Horizontal

24. Which direction does f(x-c) move
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
Odd
Horizontal right
2nd key - x^2 - graph

25. What are the calculator instructions for the standard cubic function?
Three odd - cube root - identity - standard cubic
X^2
Approach neg toward x through zero and above positive close to x
X math 3 graph

26. Is the square root function odd - even or neither?
Y=b
Neither
Conditional
Postiive slope

27. How would this formula move f(x)=(x+1)^2-3
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
Because the demintor of a quotient can never equal zero
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

28. What are the calculator instructions for the cube root function?
F(x+c) and f(x-c)
Three odd - cube root - identity - standard cubic
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Math 4 x - graph

29. What type of slope do vertical lines have?
Absolute Value - Constant and Standard Quadratic
Undefined
F(x) = x
Cannot be drawn in quizlet

30. 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=a
Even
Down

31. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
The opposite coordinates
Equation of a line
Y= then enter the number then press graph

32. What are the calculator instructions for absolute value?
(-infinity - +infinity)
Horizontal
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]you[0 - +infinity)

33. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
F(x2)-f(x1) / x2-x1
In a quotient
Parabola

34. What is the slope intercept formula? Define all the variables.
Horizontal
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.
As equations
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

35. What is the formula for the cube root function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
F(x)=3 square root 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

36. What does the absolute value function look like?
Any set of ordered pairs
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X math 3 graph
A V

37. What is the range of the cube root function?
(-infinity - +infinity)
In a quotient
Any set of ordered pairs
F(x)=x^3

38. What is an identity function?
X^2
45 degree angle
Equation of a line
No because you cannot have one domain pointing at two y's or ranges

39. What is a constant function?
A V
F(x^1)=f(x^2)
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.
The single number y=

40. What is a function?
F(x)=+c and f(x)-c
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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 key - x^2 - graph

41. What is the domain for a standard quadratic function?
Y
Horizontal
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

42. What is the range for an absolute value function?
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
When does a graph not define y as a function of x?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

43. What can we substitute for f(x)?
Y
As equations
Conditional
F(x2)-f(x1) / x2-x1

44. Is the standard cubic function odd - even or neither?
Zero slope
Odd
X=a
X2-x1 because the demonaitor of a quotient can never equal zero

45. What type of slope do you have when a line falls left to right and m<0?
Three odd - cube root - identity - standard cubic
Negative slope
C>1 - horizontal shrinking
The opposite coordinates

46. Of the seven of algebra's common graph's how many are odd?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Undefined slope
Three odd - cube root - identity - standard cubic
Horizontal right

47. What is the formula for an absolute value function?
1 -2 -3
F(x)=IxI
Cannot be drawn in quizlet
Up

48. What are the four steps for finding the inverse of a function?
F(x)=x^3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
In a quotient
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

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

50. Which direction does f(x)=+c move in standard absolute value formula?
Up
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 - 0]you[0 - +infinity)
Parabola - up one and right three