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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 does the square root function look like on a graph?
Identity
Line ascending to the right gradually
A V
F(x)=3 square root x

2. y=f(cx) What does this formula represent?
Parabola
F(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
0<c<1 - horizontal stretching

3. Draw or discuss a decreasing function
Even
Cannot be drawn in quizlet
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X=a

4. What direction does f(x)-c move in standard absolute value formula?
F(x2)-f(x1) / x2-x1
Down
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 - identity function

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

6. Of the seven of algebra's common graph's how many are even?
C>1 - horizontal shrinking
Conditional
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range

7. What is the formula for the cube root function?
45 degree angle
Only one
Down
F(x)=3 square root x

8. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Absolute Value - Constant and Standard Quadratic
Postiive slope
Only one

9. What is a constant function?
F(x^1)=f(x^2)
X math 3 graph
20+.05x=5+.10x x=minutes
F(x+c) and f(x-c)

10. What is the domain for a standard quadratic function?
Negative slope
Down
M
(-infinity - +infinity)

11. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
A line passing through two distinct points
Mirror image neg quadrant to that of the positive quandrant
Parabola
20+.05x=5+.10x x=minutes

12. What are the algebra of functions?
Set the x and y to zero and get the intercepts and then plot the points
Change in y / change in x = rise / run = y2-y1 / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet

13. Is a standard quadratic function even - odd or neither?
The first set of components of an ordered pair
Even
Change in y / change in x = rise / run = y2-y1 / x2-x1
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

14. Which direction does f(x)=+c move in standard absolute value formula?
Undefined
X = the original sale price and the formula is x - .40x =$276
Up
C>1 - horizontal shrinking

15. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
2nd catalog (zero key -) abs(x) - graph
The secant line
The first set of components of an ordered pair

16. What does the square root function look like on a graph?
Y=x - identity function
Line ascending to the right gradually
Perpendicular line
Neither

17. Draw or discuss a decreasing function
Cannot be drawn in quizlet
[0 -+infinity)
Negative inverse
The slope of a line containing two points

18. What shape is the standard quadratic function?
Negative slope
Parabola
F(x)=3 square root x
Absolute Value - Constant and Standard Quadratic

19. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
Math 4 x - graph
Square Root
The opposite coordinates

20. x=all real numbers is what type of an equation?
Postiive slope
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.
Identity
A V

21. What is the domain and range of a constant function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
Y=10
Odd

22. How many domains can you have pointing to one range?
No because you cannot have one domain pointing at two y's or ranges
Undefined
As many as you like
Line ascending to the right gradually

23. x=all real numbers is what type of an equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
Identity
In a quotient

24. 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
X = the original sale price and the formula is x - .40x =$276
Y=IxI
F(x)=x^3

25. Is an absolute value function even - odd or neither?
Even
45 degree angle
In a quotient
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

26. Draw or discuss an increasing function
The second set of components of an ordered pair
Undefined
Up
Cannot be drawn in quizlet

27. What is the domain of a square root function?
Horizontal
[0 -+infinity)
No because you cannot have one domain pointing at two y's or ranges
Even

28. What is the average rate of change formula?
Y=x - identity function
F(x2)-f(x1) / x2-x1
Down
A V

29. 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
[0 -+infinity)
In a quotient
Undefined slope

30. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
The first set of components of an ordered pair
(-infinity - +infinity)
Yes - all the domains points to one range
Three odd - cube root - identity - standard cubic

31. What is the vertical line formula?
Negative slope
X=a
Piecewise
X is the hours to repair the boat. $1603-532=anwser/63 = x

32. What are the four steps for solving a linear equation?
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.
The single number y=
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

33. What is the range of a square root function?
The single number y=
F(x2)-f(x1) / x2-x1
[0 -+infinity)
Line ascending to the right gradually

34. What is the formula for the standard cubic function?
Zero slope
Cannot be drawn in quizlet
F(x)=x^3
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.

35. What are the calculator instructions for a square root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph
X math 3 graph
(-infinity - +infinity)

36. How many ranges can you have for each domain?
X=a
Only one
The slope of a line containing two points
(-infinity - +infinity)

37. What is the domain for an absolute value function?
Y=IxI
(-infinity - +infinity)
Even
Odd

38. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
Up

39. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
(-infinity - +infinity)
Negative slope
Parabola

40. What is a domain?
(-infinity - +infinity)
1 -2 -3
Cannot be drawn in quizlet
The first set of components of an ordered pair

41. What are the steps for solving a word problem?
(-infinity - +infinity)
(-infinity - +infinity)
M
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

42. What is the slope of a perpendicular line?
Same
The slope of a line containing two points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Negative inverse

43. What is the domain for an absolute value function?
(-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.
M
Y=x^2 - graph

44. What points do you use to plot the inverse on a graph?
X is the hours to repair the boat. $1603-532=anwser/63 = x
The opposite coordinates
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x^2 - graph

45. What does the graph of the cube root function look like on the graph?
Because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
Inconsistant
Because the demintor of a quotient can never equal zero

46. What is an identity function?
Any set of ordered pairs
F(x+c) and f(x-c)
Odd
45 degree angle

47. How are functions normally written?
1 -2 -3
F(x+h)-f(x)/h h cannot equal zero
0<c<1 - horizontal stretching
As equations

48. Of the seven of algebra's common graph's how many are even?
Any set of ordered pairs
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
Absolute Value - Constant and Standard Quadratic
Y=IxI

49. What are the calculator instructions for the standard cubic function?
A V
X2-x1 because the demonaitor of a quotient can never equal zero
X math 3 graph
Set the x and y to zero and get the intercepts and then plot the points

50. What is the slope intercept formula? Define all the variables.
X^2
The minimum or maximum points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope