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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. What equation does every line have? Discuss the variables.
Even
Only one
Down
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.

2. What is slope?
A line passing through two distinct points
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph
Inconsistant

3. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Cannot be drawn in quizlet
Square Root
Horizontal

4. What are the steps for solving a word problem?
Horizontal left
Undefined slope
Y=b
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. What does linear equation mean?
(-infinity - +infinity)
Equation of a line
As equations
F(x2)-f(x1) / x2-x1

6. How many ranges can you have for each domain?
1 -2 -3
Change in y / change in x = rise / run = y2-y1 / x2-x1
Only one
(-infinity - +infinity)

7. x=all real numbers is what type of an equation?
Piecewise
Identity
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)

8. What is the formula for to calculate the difference of a quotient function?
Inconsistant
In a quotient
F(x+h)-f(x)/h h cannot equal zero
45 degree angle

9. Is a constant function even - odd or neither?
Even
X math 3 graph
Square Root
Horizontal

10. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Any set of ordered pairs
(-infinity - +infinity)
Piecewise

11. What direction does f(x)-c move in standard absolute value formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
Undefined slope
Down
Square Root

12. What is another way of writing the absolute value function?
Y=IxI
The first set of components of an ordered pair
Horizontal
X math 3 graph

13. What is a domain?
Even
F(x) = x
The first set of components of an ordered pair
Square Root

14. standard absolute value - vertical shift formulas for positve and negative
The opposite coordinates
Any set of ordered pairs
Undefined slope
F(x)=+c and f(x)-c

15. 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?
Y= then enter the number then press graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x2)-f(x1) / x2-x1
As equations

16. How many domains can you have pointing to one range?
The first set of components of an ordered pair
Only one
Parraelle line
As many as you like

17. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
F(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]you[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

18. How do you calculate a constant function in your calculator?
Horizontal left
Y= then enter the number then press 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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

19. What is the range of an identity function?
(-infinity - +infinity)
Y=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph

20. What can never equal zero in the slope formula and why?
Change in y / change in x = rise / run = y2-y1 / x2-x1
A line passing through two distinct points
Same
X2-x1 because the demonaitor of a quotient can never equal zero

21. What type of slope do you have when a line falls left to right and m<0?
Parabola - up one and right three
When does a graph not define y as a function of x?
Negative slope
Parabola

22. What is a constant function?
F(x^1)=f(x^2)
The single number y=
Equation of a line
Y=IxI

23. Is the square root function odd - even or neither?
Neither
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal

24. What is the range of the cube root function?
(-infinity - +infinity)
Yes - all the domains points to one range
Negative inverse
X=a

25. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=IxI
(-infinity - +infinity)
X^2
Piecewise

26. What is the vertex?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points
F(x)=suare root of x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

27. Is an identity function even - odd or neither?
(-infinity - +infinity)
Negative inverse
Odd
F(x^1)=f(x^2)

28. What is the domain of an identity function?
(-infinity - +infinity)
The opposite coordinates
F of g and g of f
Line ascending to the right gradually

29. What is the range of an identity function?
[0 -+infinity)
Conditional
(-infinity - +infinity)
Odd

30. What does the standard cubic function look like on a graph?
Three odd - cube root - identity - standard cubic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=x^3
Mirror image neg quadrant to that of the positive quandrant

31. What is the point slope formula and when do you use it?
0<c<1 - horizontal stretching
Y=b
[0 -+infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

32. What is the horizontal line formula?
Horizontal
The opposite coordinates
Conditional
Y=b

33. What type of slope do you have when the line is horizontal and m=0?
Math 4 x - graph
F(x^1)=f(x^2)
Zero slope
F(x) = x

34. Draw or discuss a constant function
Undefined
(-infinity - +infinity)
Cannot be drawn in quizlet
M

35. What is the range of a square root function?
[0 -+infinity)
The opposite coordinates
Inconsistant
Up

36. Which direction does f(x)=+c move in standard absolute value formula?
Perpendicular line
(-infinity - 0]you[0 - +infinity)
Y=IxI
Up

37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
X math 3 graph

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

39. f(x) = x^2+3x+5 - what type of formula is this?
Negative slope
F(x2)-f(x1) / x2-x1
Undefined
Function notation

40. 4x+5x=8x is what type of an equation?
Conditional
2nd key - x^2 - graph
The single number y=
Down

41. What is the slope of a perpendicular line?
(-infinity - +infinity)
X math 3 graph
Negative inverse
Yes because two x's or domains can point to one y

42. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Conditional
X math 3 graph
Cannot be drawn in quizlet

43. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
[0 -+infinity)
Yes - all the domains points to one range
Cannot be drawn in quizlet

44. Draw or discuss an increasing function
Parraelle line
Cannot be drawn in quizlet
Undefined
The second set of components of an ordered pair

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

46. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function notation
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=b

47. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
F of g and g of f
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

48. What is the formula for the cube root function?
X2-x1 because the demonaitor of a quotient can never equal zero
Function notation
F(x)=3 square root x
X=a

49. What is the domain for a standard quadratic function?
Cannot be drawn in quizlet
Line ascending to the right gradually
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

50. What are the four steps for finding the inverse of a function?
0<c<1 - horizontal stretching
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Mirror image neg quadrant to that of the positive quandrant
Line ascending to the right gradually