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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 type of slope do you have when m=? and the line is vertical?
Parabola - up one and right three
Undefined slope
Up
F(x2)-f(x1) / x2-x1

2. What does the standard cubic function look like on a graph?
Parabola - up one and right three
Mirror image neg quadrant to that of the positive quandrant
F(x)=3 square root x
The slope of a line containing two points

3. What is the domain for the standard cubic function?
C>1 - horizontal shrinking
(-infinity - +infinity)
2nd key - x^2 - graph
Equation of a line

4. What is the formula for an identity function?
Set the x and y to zero and get the intercepts and then plot the points
F(x) = 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.
F(x)=suare root of x

5. What equation does every line have? Discuss 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.
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
The single number y=

6. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
(f+g) - (f-g) - (fg) - (f/g) all of x
1 -2 -3
As many as you like

7. How many domains can you have pointing to one range?
As many as you like
F(x)=3 square root x
X^2
F(x)=IxI

8. What type of line is a constant function?
Piecewise
Conditional
Horizontal
Mirror image neg quadrant to that of the positive quandrant

9. Which direction does f(x-c) move
Odd
As many as you like
45 degree angle
Horizontal right

10. What is an identity function?
45 degree angle
(-infinity - +infinity)
Undefined
Yes because two x's or domains can point to one y

11. When is the only time (-infinity - +infinity) is not the domain?
[0 -+infinity)
Odd
The secant line
In a quotient

12. What is the domain of an identity function?
(-infinity - +infinity)
Inconsitent
X is the hours to repair the boat. $1603-532=anwser/63 = x
Approach neg toward x through zero and above positive close to x

13. What is a range?
Parabola - up one and right three
The second set of components of an ordered pair
Identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

14. What are the calculator instructions for absolute value?
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph
Conditional

15. What is the range for an absolute value function?
45 degree angle
(-infinity - 0]you[0 - +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
The first set of components of an ordered pair

16. standard absolute value - horizontal shift formulas for left and right
Even
X^2
Negative slope
F(x+c) and f(x-c)

17. What is a range?
1 -2 -3
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The second set of components of an ordered pair

18. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Y=IxI
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
(-infinity - +infinity)

19. What is another way of writing the absolute value function?
Absolute Value - Constant and Standard Quadratic
F(x)=3 square root x
Only one
Y=IxI

20. Draw or discuss a constant function
Horizontal
Cannot be drawn in quizlet
Any set of ordered pairs
Parabola - up one and right three

21. What is an identity function?
Down
F(x)=3 square root x
45 degree angle
(-infinity - +infinity)

22. What are the calculator instructions for the cube root function?
Set the x and y to zero and get the intercepts and then plot the points
Horizontal right
Math 4 x - graph
Piecewise

23. What is the domain and range of a constant function?
Odd
(-infinity - +infinity)
Square Root
The first set of components of an ordered pair

24. What is the vertex?
Negative inverse
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
The minimum or maximum points

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

26. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
The secant line
0<c<1 - horizontal stretching
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

27. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
F(x)=3 square root x
4 -6 -9
(-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

28. 4x+5x=8x is what type of an equation?
Conditional
X^2
Any set of ordered pairs
Math 4 x - graph

29. What is the point slope formula and when do you use it?
(-infinity - +infinity)
F(x)=+c and f(x)-c
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking

30. Draw or discuss an increasing function
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
Because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet

31. x=all real numbers is what type of an equation?
As many as you like
Identity
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

32. What is the vertical line formula?
Horizontal right
Piecewise
X math 3 graph
X=a

33. What are the steps for solving a word problem?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Mirror image neg quadrant to that of the positive quandrant
When does a graph not define y as a function of x?
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

34. y=f(cx) - What does this formula represent?
[0 -+infinity)
A line passing through two distinct points
C>1 - horizontal shrinking
Down

35. What is a constant function?
(-infinity - 0]you[0 - +infinity)
Even
F(x^1)=f(x^2)
Yes because two x's or domains can point to one y

36. Which direction does f(x)=+c move in standard absolute value formula?
Up
The minimum or maximum points
F(x) = x
Equation of a line

37. Which direction does f(x-c) move
Negative slope
Horizontal right
Inconsitent
The second set of components of an ordered pair

38. Of the seven of algebra's common graph's how many are neither?
F of g and g of f
F(x)=3 square root x
Y=b
Square Root

39. What is the vertical line formula?
Zero slope
X=a
2nd key - x^2 - graph
(-infinity - +infinity)

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

41. What does linear equation mean?
Horizontal right
Equation of a line
Neither
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

42. What is the vertex?
Even
[0 -+infinity)
The minimum or maximum points
Y=10

43. What is the range of the cube root function?
Odd
X math 3 graph
(-infinity - +infinity)
Only one

44. What is the domain for an absolute value function?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
As equations
C>1 - horizontal shrinking

45. What are the four steps for solving a linear equation?
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.
Inconsistant
Y
X math 3 graph

46. What is the formula for an absolute value function?
F(x)=IxI
Identity
M
Postiive slope

47. What equation does every line have? Discuss the variables.
0<c<1 - horizontal stretching
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
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.
Mirror image neg quadrant to that of the positive quandrant

48. What does the square root function look like on a graph?
Line ascending to the right gradually
Inconsistant
Up
0<c<1 - horizontal stretching

49. Is an identity function even - odd or neither?
F(x)=3 square root x
Odd
Y
[0 -+infinity)

50. Draw or discuss a constant function
Y=IxI
Conditional
Square Root
Cannot be drawn in quizlet