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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. Of the seven of algebra's common graph's how many are odd?
Odd
45 degree angle
Three odd - cube root - identity - standard cubic
Equation of a line

2. Which direction does f(x-c) move
(-infinity - +infinity)
45 degree angle
Horizontal right
No because you cannot have one domain pointing at two y's or ranges

3. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Up
0<c<1 - horizontal stretching
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
Mirror image neg quadrant to that of the positive quandrant

4. Which direction does f(x+c) move
Y=IxI
Postiive slope
Horizontal left
F(x)=3 square root x

5. standard absolute value - vertical shift formulas for positve and negative
F(x+h)-f(x)/h h cannot equal zero
1 -2 -3
Undefined
F(x)=+c and f(x)-c

6. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
45 degree angle
As many as you like
20+.05x=5+.10x x=minutes
Y=x^2 - graph

7. What is the letter used to represent slope?
M
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
When does a graph not define y as a function of x?

8. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X = the original sale price and the formula is x - .40x =$276
Up
Identity

9. What are the four steps for solving a linear equation?
[0 -+infinity)
Zero 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.
Yes - all the domains points to one range

10. What is the domain and range of a constant function?
Zero slope
F of g and g of f
1 -2 -3
(-infinity - +infinity)

11. What points do you use to plot the inverse on a graph?
Equation of a line
The opposite coordinates
Even
As many as you like

12. What is the formula for an identity function?
F(x) = x
Cannot be drawn in quizlet
X=a
F(x)=x^3

13. Which direction does f(x-c) move
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.
Zero slope
Horizontal right

14. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Y
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
1 -2 -3

15. What is the formula for an identity function?
Y
0<c<1 - horizontal stretching
F(x) = x
(-infinity - +infinity)

16. What is the formula for the standard cubic function?
Odd
F(x)=x^3
Parabola
[0 -+infinity)

17. What is the vertex?
The first set of components of an ordered pair
Y=IxI
Function notation
The minimum or maximum points

18. What is the range of an identity function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

19. What is the vertex?
Y= then enter the number then press graph
The secant line
The minimum or maximum points
Inconsitent

20. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
The opposite coordinates
F(x+h)-f(x)/h h cannot equal zero

21. What is another way of writing the absolute value function?
Y=IxI
F(x+h)-f(x)/h h cannot equal zero
4 -6 -9
F(x^1)=f(x^2)

22. What is slope?
The secant line
Identity
A line passing through two distinct points
2nd catalog (zero key -) abs(x) - graph

23. What are the calculator instructions for the standard cubic function?
Cannot be drawn in quizlet
Function notation
Identity
X math 3 graph

24. $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?
1 -2 -3
F(x)=suare root of x
Yes because two x's or domains can point to one y
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

25. What is the range for a standard quadratic function?
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
Up
X=a

26. What is the domain for the standard cubic function?
(-infinity - +infinity)
F(x)=3 square root x
The opposite coordinates
F(x)=x^3

27. What direction does f(x)-c move in standard absolute value formula?
A V
Down
The secant line
As many as you like

28. What is the formula in both horizontal stretching and horizontal shrinking?
Piecewise
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
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y

29. What is the standard quadratic function?
X^2
Negative slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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

30. What is the domain for a standard quadratic function?
20+.05x=5+.10x x=minutes
Y=b
(-infinity - +infinity)
Conditional

31. In an identity function if f(10)=x than What is y?
[0 -+infinity)
Y=10
F(x)=+c and f(x)-c
Piecewise

32. How are functions normally written?
F(x)=+c and f(x)-c
Function notation
The first set of components of an ordered pair
As equations

33. What is another way of writing the absolute value function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=IxI
45 degree angle
45 degree angle

34. 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^2
Three odd - cube root - identity - standard cubic
2nd key - x^2 - graph

35. x=no real numbers is what type of an equation?
Inconsistant
X = the original sale price and the formula is x - .40x =$276
(-infinity - 0]you[0 - +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

36. What are the steps for solving a word problem?
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
Cannot be drawn in quizlet
Y=x^2 - graph
(-infinity - +infinity)

37. Two vertical lines side by side are a symbol for what
X=a
Parraelle line
F(x^1)=f(x^2)
Piecewise

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

39. x=all real numbers is what type of an equation?
(-infinity - +infinity)
Horizontal
Identity
Neither

40. What equation does every line have? Discuss the variables.
Odd
F(x)=IxI
Y= then enter the number then press graph
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.

41. What is the range of the cube root function?
Identity
Conditional
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

42. How many domains can you have pointing to one range?
[0 -+infinity)
As many as you like
Cannot be drawn in quizlet
Equation of a line

43. What does the absolute value function look like?
F(x)=3 square root x
A V
4 -6 -9
F(x)=IxI

44. What is the vertical line formula?
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x
X=a
F of g and g of f

45. What is a function?
X2-x1 because the demonaitor of a quotient can never equal zero
Parraelle line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=3 square root x

46. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Negative slope
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
Down

47. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Odd

48. standard absolute value - horizontal shift formulas for left and right
Horizontal right
Even
F(x+c) and f(x-c)
The opposite coordinates

49. What is the vertical line test?
X math 3 graph
When does a graph not define y as a function of x?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X=a

50. What is the domain of an identity function?
(-infinity - +infinity)
Line ascending to the right gradually
Zero slope
(f+g) - (f-g) - (fg) - (f/g) all of x