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. 4x+5x=8x is what type of an equation?
Conditional
F(x) = x
Zero slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

2. 4(x-7)=4x+28 is what type of an equation?
Even
The second set of components of an ordered pair
Inconsitent
Cannot be drawn in quizlet

3. 4(x-7)=4x-28 is what type of an equation?
Odd
Y=x^2 - graph
Identity
Y=IxI

4. What are the four steps for solving a linear equation?
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
F(x)=3 square root x
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.

5. What type of slope do you have when a line falls left to right and m<0?
2nd key - x^2 - graph
As many as you like
(-infinity - +infinity)
Negative slope

6. What is the standard quadratic function?
Math 4 x - graph
X^2
The single number y=
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

7. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Same

8. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parraelle line
Because the demintor of a quotient can never equal zero

9. 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
Negative slope
The first set of components of an ordered pair
A V

10. y=f(cx) - What does this formula represent?
The opposite coordinates
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
C>1 - horizontal shrinking
F(x)=suare root of x

11. What is the range for an absolute value function?
20+.05x=5+.10x x=minutes
C>1 - horizontal shrinking
Even
(-infinity - 0]you[0 - +infinity)

12. What is the range of the cube root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Same
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

13. In an identity function if f(10)=x than What is y?
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.
In a quotient
Y=10
Cannot be drawn in quizlet

14. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=b

15. What direction does f(x)-c move in standard absolute value formula?
Down
Math 4 x - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Function notation

16. Draw or discuss a decreasing function
Piecewise
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Cannot be drawn in quizlet

17. What are the calculator instructions for a standard quadratic equation?
F(x)=suare root of x
(-infinity - +infinity)
Y=x^2 - graph
No because you cannot have one domain pointing at two y's or ranges

18. Is a standard quadratic function even - odd or neither?
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
Even
Parabola - up one and right three
Neither

19. What are two examples of composit functions?
In a quotient
F of g and g of f
F(x)=x^3
(-infinity - +infinity)

20. What is the vertical line test?
The secant line
When does a graph not define y as a function of x?
Negative slope
2nd key - x^2 - graph

21. What is the formula for the cube root function?
Y=x^2 - graph
4 -6 -9
F(x)=3 square root x
0<c<1 - horizontal stretching

22. What is the domain and range of a constant function?
A line passing through two distinct points
Zero slope
(-infinity - +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

23. How are functions normally written?
4 -6 -9
Identity
(-infinity - 0]you[0 - +infinity)
As equations

24. What is a range?
Horizontal
The second set of components of an ordered pair
When does a graph not define y as a function of x?
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.

25. What can never equal zero in the slope formula and why?
Inconsitent
X2-x1 because the demonaitor of a quotient can never equal zero
Odd
Y=10

26. What is the vertex?
F(x^1)=f(x^2)
X=a
The minimum or maximum points
Inconsistant

27. What is the vertex?
Parabola
The minimum or maximum points
Equation of a line
Odd

28. What type of slope do vertical lines have?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Undefined
Equation of a line
F(x^1)=f(x^2)

29. What is the formula for the cube root function?
Line ascending to the right gradually
F(x+h)-f(x)/h h cannot equal zero
F(x)=3 square root x
Even

30. What is the domain of a square root function?
[0 -+infinity)
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
F(x+h)-f(x)/h h cannot equal zero

31. What is the domain for an absolute value function?
(-infinity - +infinity)
2nd key - x^2 - graph
Function notation
X math 3 graph

32. Two vertical lines side by side are a symbol for what
F of g and g of f
Approach neg toward x through zero and above positive close to x
Parabola - up one and right three
Parraelle line

33. $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?
Horizontal
Y=10
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

34. y=f(cx) What does this formula represent?
(-infinity - 0]you[0 - +infinity)
The slope of a line containing two points
0<c<1 - horizontal stretching
The slope of a line containing two points

35. What is the domain of the cube root function?
(-infinity - +infinity)
Same
F(x^1)=f(x^2)
20+.05x=5+.10x x=minutes

36. What is a function?
F(x) = x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Parabola
Same

37. x= a real number is what type of equation?
Only one
In a quotient
Y=10
Conditional

38. What does the average rate of change formula solve?
Y=x^2 - graph
Odd
The slope of a line containing two points
Yes - all the domains points to one range

39. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]you[0 - +infinity)
Yes because two x's or domains can point to one y
The opposite coordinates

40. standard absolute value - vertical shift formulas for positve and negative
Only one
Function notation
F(x2)-f(x1) / x2-x1
F(x)=+c and f(x)-c

41. Is the standard cubic function odd - even or neither?
2nd key - x^2 - graph
M
(-infinity - +infinity)
Odd

42. 4(x-7)=4x-28 is what type of an equation?
Identity
Three odd - cube root - identity - standard cubic
Mirror image neg quadrant to that of the positive quandrant
Approach neg toward x through zero and above positive close to x

43. What does the square root function look like on a graph?
(-infinity - 0]you[0 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative slope
Line ascending to the right gradually

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

45. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
20+.05x=5+.10x x=minutes
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=x^3

46. What are the calculator instructions for a standard quadratic equation?
Because the demintor of a quotient can never equal zero
Y=x^2 - graph
Down
(-infinity - +infinity)

47. What is the formula for an identity function?
Odd
F(x) = x
The secant line
2nd key - x^2 - graph

48. Is the square root function odd - even or neither?
Neither
As many as you like
Inconsitent
2nd key - x^2 - graph

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

50. What is another way of writing the absolute value function?
Piecewise
F(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]you[0 - +infinity)
Y=IxI