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Test your basic knowledge |

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 slope intercept formula? Define all the variables.
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.
Any set of ordered pairs
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1 -2 -3

2. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Horizontal left
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

3. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
As equations
F(x)=IxI
Square Root

4. What is the vertex?
Inconsistant
The minimum or maximum points
(-infinity - +infinity)
Y=10

5. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
20+.05x=5+.10x x=minutes
Function notation
No because you cannot have one domain pointing at two y's or ranges
X = the original sale price and the formula is x - .40x =$276

6. How do you calculate a constant function in your calculator?
Postiive slope
Horizontal
(-infinity - +infinity)
Y= then enter the number then press graph

7. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Up
X math 3 graph
Postiive slope

8. Draw or discuss a constant function
Because the demintor of a quotient can never equal zero
Horizontal left
Cannot be drawn in quizlet
45 degree angle

9. What are two examples of composit functions?
Horizontal right
Conditional
F of g and g of f
45 degree angle

10. A flat line underlining one vertical line is a symbol for...
F(x+h)-f(x)/h h cannot equal zero
Perpendicular line
(-infinity - +infinity)
Conditional

11. What does the square root function look like on a graph?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
Line ascending to the right gradually
(-infinity - +infinity)

12. What can never equal zero in the slope formula and why?
Even
Line ascending to the right gradually
X2-x1 because the demonaitor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic

13. A flat line underlining one vertical line is a symbol for...
F(x^1)=f(x^2)
Perpendicular line
(-infinity - +infinity)
Only one

14. What are the four steps for solving a linear equation?
Even
The second set of components of an ordered pair
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.
Absolute Value - Constant and Standard Quadratic

15. What is the formula for the square root function?
The opposite coordinates
Negative slope
F(x)=suare root of x
(-infinity - 0]you[0 - +infinity)

16. Is an identity function even - odd or neither?
Undefined slope
(-infinity - 0]you[0 - +infinity)
The single number y=
Odd

17. What is the domain for an absolute value function?
Up
Only one
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

18. What are the calculator instructions for a standard quadratic equation?
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph
Y=x^2 - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

19. What is the domain of a square root function?
(-infinity - +infinity)
[0 -+infinity)
As equations
X^2

20. Why can h not equal zero in the difference of a quotient function formula?
Horizontal
Because the demintor of a quotient can never equal zero
2nd key - x^2 - graph
Perpendicular line

21. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
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.
F(x+c) and f(x-c)
Y=b

22. What does the absolute value function look like?
The slope of a line containing two points
Neither
A V
F(x2)-f(x1) / x2-x1

23. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
F(x) = x
Horizontal right
The second set of components of an ordered pair

24. What is the line called that illustrates the straight line between the two points when showing average rate of change?
45 degree angle
F of g and g of f
The secant line
F of g and g of f

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

26. What is the vertex?
The second set of components of an ordered pair
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
The first set of components of an ordered pair
The minimum or maximum points

27. What is the vertical line formula?
Y=b
Negative inverse
Identity
X=a

28. What is the domain for the standard cubic function?
No because you cannot have one domain pointing at two y's or ranges
The secant line
Inconsitent
(-infinity - +infinity)

29. Is the square root function odd - even or neither?
Neither
Conditional
Three odd - cube root - identity - standard cubic
No because you cannot have one domain pointing at two y's or ranges

30. What are the calculator instructions for absolute value?
Line ascending to the right gradually
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
Cannot be drawn in quizlet

31. What is a range?
The second set of components of an ordered pair
F(x)=3 square root x
As many as you like
Cannot be drawn in quizlet

32. What is the standard quadratic function?
Conditional
X^2
Same
2nd catalog (zero key -) abs(x) - graph

33. Which direction does f(x)=+c move in standard absolute value formula?
1 -2 -3
(-infinity - +infinity)
Piecewise
Up

34. What are the algebra of functions?
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x
X^2
Identity

35. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Approach neg toward x through zero and above positive close to x
X2-x1 because the demonaitor of a quotient can never equal zero
Down

36. Is the square root function odd - even or neither?
2nd catalog (zero key -) abs(x) - graph
Perpendicular line
Neither
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

37. How are functions normally written?
Three odd - cube root - identity - standard cubic
As equations
Square Root
Yes because two x's or domains can point to one y

38. What is the formula for to calculate the difference of a quotient function?
Math 4 x - graph
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
Y=10

39. Which direction does f(x+c) move
Horizontal left
(-infinity - +infinity)
Parabola
Yes - all the domains points to one range

40. What can we substitute for f(x)?
(f+g) - (f-g) - (fg) - (f/g) all of x
X^2
Only one
Y

41. standard absolute value - horizontal shift formulas for left and right
Odd
Undefined
F(x+c) and f(x-c)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

42. What points do you use to plot the inverse on a graph?
Horizontal right
(-infinity - +infinity)
The opposite coordinates
As many as you like

43. Draw or discuss a constant function
As many as you like
Horizontal right
Horizontal right
Cannot be drawn in quizlet

44. x=all real numbers is what type of an equation?
Identity
Approach neg toward x through zero and above positive close to x
Horizontal left
Horizontal

45. y=f(cx) What does this formula represent?
45 degree angle
0<c<1 - horizontal stretching
(-infinity - +infinity)
Odd

46. What are the calculator instructions for a square root function?
45 degree angle
(-infinity - +infinity)
The opposite coordinates
2nd key - x^2 - graph

47. What is the average rate of change formula?
X^2
F(x+c) and f(x-c)
45 degree angle
F(x2)-f(x1) / x2-x1

48. What is the range for a standard quadratic function?
The opposite coordinates
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

49. What does the absolute value function look like?
Parabola - up one and right three
(-infinity - +infinity)
A V
Line ascending to the right gradually

50. In an identity function if f(10)=x than What is y?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=10
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1