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 vertical line formula?
A line passing through two distinct points
X=a
[0 -+infinity)
The minimum or maximum points

2. What equation does every line have? Discuss the variables.
Absolute Value - Constant and Standard Quadratic
The opposite coordinates
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.
Change in y / change in x = rise / run = y2-y1 / x2-x1

3. What is another way of writing the absolute value function?
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=IxI
(-infinity - +infinity)
The second set of components of an ordered pair

4. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Cannot be drawn in quizlet
(-infinity - +infinity)
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

5. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
F(x)=x^3
45 degree angle
F of g and g of f

6. x=all real numbers is what type of an equation?
Y=b
(-infinity - 0]you[0 - +infinity)
Zero slope
Identity

7. How many domains can you have pointing to one range?
45 degree angle
Even
As many as you like
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

8. How many ranges can you have for each domain?
Only one
Horizontal
F(x)=IxI
Cannot be drawn in quizlet

9. What is the formula for the standard cubic function?
Perpendicular line
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=x^3

10. What is a range?
The second set of components of an ordered pair
X=a
No because you cannot have one domain pointing at two y's or ranges
Odd

11. What is the range of the constant function?
Piecewise
Square Root
Y=10
The single number y=

12. What are the calculator instructions for absolute value?
(-infinity - 0]you[0 - +infinity)
Y=10
2nd catalog (zero key -) abs(x) - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

13. Which direction does f(x)=+c move in standard absolute value formula?
Y=10
Approach neg toward x through zero and above positive close to x
Up
Cannot be drawn in quizlet

14. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Up
4 -6 -9
Absolute Value - Constant and Standard Quadratic
Even

15. x=no real numbers is what type of an equation?
Horizontal
Inconsistant
(-infinity - +infinity)
(-infinity - +infinity)

16. Which direction does f(x)=+c move in standard absolute value formula?
Negative inverse
A line passing through two distinct points
Y=IxI
Up

17. What shape is the standard quadratic function?
Undefined
Negative inverse
Line ascending to the right gradually
Parabola

18. What is the slope of a perpendicular line?
Parabola - up one and right three
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
Negative inverse

19. Draw or discuss a decreasing function
Undefined
The first set of components of an ordered pair
The opposite coordinates
Cannot be drawn in quizlet

20. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x+c) and f(x-c)
As many as you like

21. What is the horizontal line formula?
Equation of a line
Neither
Y=b
(-infinity - +infinity)

22. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Conditional
X=a
Inconsitent

23. What is the formula for an absolute value function?
F(x)=IxI
Yes because two x's or domains can point to one y
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1

24. 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
In a quotient
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

25. What does the standard cubic function look like on a graph?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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
Mirror image neg quadrant to that of the positive quandrant
The secant line

26. What is the domain and range of a constant function?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
The opposite coordinates

27. What are the steps for solving a word problem?
Because the demintor of a quotient can never equal zero
No because you cannot have one domain pointing at two y's or ranges
Parabola
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

28. What does the average rate of change formula solve?
Identity
Square Root
The slope of a line containing two points
F(x+c) and f(x-c)

29. f(x) = x^2+3x+5 - what type of formula is this?
Inconsistant
F of g and g of f
Function notation
Math 4 x - graph

30. What is the letter used to represent slope?
Y= then enter the number then press graph
Cannot be drawn in quizlet
(-infinity - +infinity)
M

31. What equation does every line have? Discuss the variables.
Horizontal
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.
F(x2)-f(x1) / x2-x1
45 degree angle

32. What is the range for the standard cubic function?
(-infinity - +infinity)
As equations
Absolute Value - Constant and Standard Quadratic
Negative inverse

33. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
X^2
Horizontal
Y=x^2 - graph

34. What is a range?
Cannot be drawn in quizlet
Y=10
F(x) = x
The second set of components of an ordered pair

35. What are the calculator instructions for the cube root function?
Down
Math 4 x - graph
Neither
Negative inverse

36. What is the range of a square root function?
Math 4 x - graph
[0 -+infinity)
F(x)=suare root of x
Parraelle line

37. What is the domain for the standard cubic function?
20+.05x=5+.10x x=minutes
Odd
[0 -+infinity)
(-infinity - +infinity)

38. What is the domain for a standard quadratic function?
C>1 - horizontal shrinking
(-infinity - +infinity)
Perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

39. x= a real number is what type of equation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional
F(x)=IxI
The second set of components of an ordered pair

40. Of the seven of algebra's common graph's how many are neither?
F(x+c) and f(x-c)
F of g and g of f
Square Root
(-infinity - +infinity)

41. In an identity function if f(10)=x than What is y?
Y= then enter the number then press graph
As many as you like
Y=10
[0 -+infinity)

42. What are the calculator instructions for the cube root function?
Math 4 x - graph
Same
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Equation of a line

43. What is the vertical line formula?
Identity
(-infinity - +infinity)
X=a
F of g and g of f

44. What is the range of the cube root function?
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.
Parraelle line
(-infinity - +infinity)
Perpendicular line

45. What shape is the standard quadratic function?
Parabola
The first set of components of an ordered pair
(-infinity - +infinity)
In a quotient

46. standard absolute value - vertical shift formulas for positve and negative
The slope of a line containing two points
F(x)=+c and f(x)-c
0<c<1 - horizontal stretching
Perpendicular line

47. What type of slope do you have when m=? and the line is vertical?
Horizontal left
(f+g) - (f-g) - (fg) - (f/g) all of x
Undefined slope
Piecewise

48. What type of slope do horizontal lines have?
F(x^1)=f(x^2)
4 -6 -9
Same
Perpendicular line

49. What are the calculator instructions for a square root function?
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic

50. Draw or discuss an increasing function
As equations
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
Inconsitent