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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
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal left
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Equation of a line

2. What are the calculator instructions for a standard quadratic equation?
Odd
(-infinity - +infinity)
F(x)=3 square root x
Y=x^2 - graph

3. What is a domain?
Undefined slope
Three odd - cube root - identity - standard cubic
The first set of components of an ordered pair
Even

4. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Inconsitent
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
1 -2 -3
The secant line

5. What is a constant function?
Even
Up
(-infinity - +infinity)
F(x^1)=f(x^2)

6. What is the range of a square root function?
F(x2)-f(x1) / x2-x1
Math 4 x - graph
[0 -+infinity)
Down

7. What is a constant function?
F(x^1)=f(x^2)
X=a
Approach neg toward x through zero and above positive close to x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

8. 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?
C>1 - horizontal shrinking
Horizontal
Parraelle line
X is the hours to repair the boat. $1603-532=anwser/63 = x

9. What type of slope do you have when the line is horizontal and m=0?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Only one
Zero slope

10. 4x+5x=8x is what type of an equation?
45 degree angle
(-infinity - +infinity)
Conditional
When does a graph not define y as a function of x?

11. What is the domain and range of a constant function?
Y= then enter the number then press graph
Perpendicular line
F(x)=x^3
(-infinity - +infinity)

12. What is 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.
A line passing through two distinct points
Yes - all the domains points to one range
(-infinity - +infinity)

13. What is the formula for the standard cubic function?
Three odd - cube root - identity - standard cubic
F(x)=x^3
Y=x^2 - graph
(-infinity - +infinity)

14. What are the calculator instructions for a standard quadratic equation?
X math 3 graph
As equations
Y=x^2 - graph
Square Root

15. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Zero slope
F(x+c) and f(x-c)
Yes because two x's or domains can point to one 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

16. What is the letter used to represent slope?
M
F(x)=IxI
Odd
(-infinity - +infinity)

17. In an identity function if f(10)=x than What is y?
Y=10
Odd
20+.05x=5+.10x x=minutes
Horizontal

18. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
[0 -+infinity)
F(x)=suare root of x
45 degree angle

19. What is the vertical line formula?
Up
20+.05x=5+.10x x=minutes
X=a
Inconsitent

20. What is the slope intercept formula? Define all the variables.
Down
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

21. What is the range for the standard cubic function?
As many as you like
(-infinity - +infinity)
Horizontal
Even

22. What is an identity function?
(-infinity - +infinity)
Even
F(x+h)-f(x)/h h cannot equal zero
45 degree angle

23. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Y=IxI
Horizontal
Neither

24. What is the range for a standard quadratic function?
Y
(-infinity - 0]you[0 - +infinity)
Horizontal left
Postiive slope

25. What type of line is a constant function?
Horizontal
Y= then enter the number then press graph
The single number y=
(f+g) - (f-g) - (fg) - (f/g) all of x

26. What is the formula for an absolute value function?
F(x)=IxI
Same
F(x)=suare root of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

27. What is the vertical line formula?
(-infinity - +infinity)
F(x)=+c and f(x)-c
Piecewise
X=a

28. What type of line is an identity function?
45 degree angle
Negative slope
(-infinity - +infinity)
A line passing through two distinct points

29. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
A V
F of g and g of f
Y=x - identity function

30. What are the four steps for solving a linear equation?
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Because the demintor of a quotient can never equal zero
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.

31. How would this formula move f(x)=(x+1)^2-3
Line ascending to the right gradually
Y= then enter the number then press graph
Perpendicular line
Parabola - up one and right three

32. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Y=10
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet

33. What is the range of the constant function?
Equation of a line
A V
The single number y=
Piecewise

34. What is another way of writing the absolute value function?
Mirror image neg quadrant to that of the positive quandrant
Undefined
Y=IxI
Negative inverse

35. What points do you use to plot the inverse on a graph?
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
The opposite coordinates
F of g and g of f
The second set of components of an ordered pair

36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
X2-x1 because the demonaitor of a quotient can never equal zero
The opposite coordinates
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

37. What is the point slope formula and when do you use it?
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes - all the domains points to one range
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The first set of components of an ordered pair

38. Is a standard quadratic function even - odd or neither?
F(x^1)=f(x^2)
Even
Absolute Value - Constant and Standard Quadratic
Only one

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
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
Same

40. Draw or discuss a decreasing function
X=a
The slope of a line containing two points
Undefined
Cannot be drawn in quizlet

41. What is the range of a square root function?
0<c<1 - horizontal stretching
[0 -+infinity)
Negative inverse
X2-x1 because the demonaitor of a quotient can never equal zero

42. Is an absolute value function even - odd or neither?
A line passing through two distinct points
(-infinity - 0]you[0 - +infinity)
Parabola - up one and right three
Even

43. What are the calculator instructions for the cube root function?
[0 -+infinity)
Horizontal left
Negative slope
Math 4 x - graph

44. Of the seven of algebra's common graph's how many are neither?
Cannot be drawn in quizlet
Square Root
X math 3 graph
F(x+c) and f(x-c)

45. What is the domain of the cube root function?
Perpendicular line
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
Only one
(-infinity - +infinity)

46. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
(-infinity - +infinity)
Cannot be drawn in quizlet
M

47. What does linear equation mean?
Inconsistant
Absolute Value - Constant and Standard Quadratic
Up
Equation of a line

48. Which direction does f(x+c) move
Identity
Horizontal left
Y=x^2 - graph
F(x)=suare root of x

49. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
No because you cannot have one domain pointing at two y's or ranges
F(x^1)=f(x^2)
F(x)=suare root of x
4 -6 -9

50. What type of function would you use to calculate the most advantageous cell phone plan?
X2-x1 because the demonaitor of a quotient can never equal zero
Piecewise
0<c<1 - horizontal stretching
Neither