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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. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
(-infinity - +infinity)
Parabola - up one and right three
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.

2. What type of slope do you have when m=? and the line is vertical?
Odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Undefined slope
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

3. 4(x-7)=4x+28 is what type of an equation?
F of g and g of f
Square Root
Inconsitent
F(x2)-f(x1) / x2-x1

4. Is an absolute value function even - odd or neither?
F(x)=suare root of x
F of g and g of f
Even
C>1 - horizontal shrinking

5. What is the formula for an absolute value function?
F(x)=3 square root x
(-infinity - +infinity)
F(x)=IxI
45 degree angle

6. What does the standard cubic function look like on a graph?
Zero slope
(-infinity - +infinity)
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant

7. What is a constant function?
Identity
The slope of a line containing two points
A V
F(x^1)=f(x^2)

8. What is the standard quadratic function?
The first set of components of an ordered pair
(-infinity - +infinity)
45 degree angle
X^2

9. What is the vertex?
Y=10
The minimum or maximum points
Only one
(-infinity - +infinity)

10. x=no real numbers is what type of an equation?
Inconsistant
Y
Horizontal
0<c<1 - horizontal stretching

11. 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.
45 degree angle
X^2
(-infinity - +infinity)

12. What is the range of the cube root function?
X=a
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points

13. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
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.
A V
Line ascending to the right gradually

14. What is the formula for the square root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
(-infinity - 0]you[0 - +infinity)
F(x)=suare root of x

15. What is the domain for the standard cubic function?
(-infinity - +infinity)
Odd
Negative inverse
Y=IxI

16. What is an identity function?
2nd key - x^2 - graph
F(x)=IxI
45 degree angle
(-infinity - +infinity)

17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The secant line

18. What are the algebra of functions?
Horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

19. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X = the original sale price and the formula is x - .40x =$276
F(x+h)-f(x)/h h cannot equal zero
Odd

20. What is the domain of the cube root function?
(-infinity - +infinity)
Zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Because the demintor of a quotient can never equal zero

21. x=no real numbers is what type of an equation?
Inconsistant
(-infinity - 0]you[0 - +infinity)
Horizontal
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.

22. Which direction does f(x-c) move
Horizontal right
Y=x - identity function
The single number y=
20+.05x=5+.10x x=minutes

23. What does the average rate of change formula solve?
Conditional
Even
45 degree angle
The slope of a line containing two points

24. What is the formula for an absolute value function?
F(x)=IxI
Up
Y=x - identity function
Even

25. What is the domain for the standard cubic function?
Mirror image neg quadrant to that of the positive quandrant
Y= then enter the number then press graph
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.
(-infinity - +infinity)

26. What is the domain and range of a constant function?
(f+g) - (f-g) - (fg) - (f/g) all of x
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

27. Why can h not equal zero in the difference of a quotient function formula?
Inconsitent
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x^1)=f(x^2)
Because the demintor of a quotient can never equal zero

28. What does the graph of the cube root function look like on the graph?
F(x)=IxI
Approach neg toward x through zero and above positive close to x
45 degree angle
Parraelle line

29. In an identity function if f(10)=x than What is y?
X=a
F(x^1)=f(x^2)
Y=10
Conditional

30. What is the horizontal line formula?
A line passing through two distinct points
Parabola - up one and right three
Odd
Y=b

31. How do you graph Ax+By+C=0?
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
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI
Math 4 x - graph

32. What is the domain of an identity function?
Inconsitent
(-infinity - +infinity)
Line ascending to the right gradually
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

33. What is a relation?
Square Root
Change in y / change in x = rise / run = y2-y1 / x2-x1
C>1 - horizontal shrinking
Any set of ordered pairs

34. What are the calculator instructions for the standard cubic function?
X math 3 graph
(-infinity - +infinity)
Even
2nd key - x^2 - graph

35. What is the domain for an absolute value function?
Yes - all the domains points to one range
Even
Down
(-infinity - +infinity)

36. What type of slope do you have when a line rises from left to right and m>0?
Even
(-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
Postiive slope

37. What is a constant function?
Y=IxI
F(x^1)=f(x^2)
Postiive slope
Parraelle line

38. Two vertical lines side by side are a symbol for what
The second set of components of an ordered pair
Parraelle line
Conditional
X math 3 graph

39. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
Postiive slope
C>1 - horizontal shrinking
Identity

40. 4x+5x=8x is what type of an equation?
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
Conditional
Cannot be drawn in quizlet

41. What are the algebra of functions?
Zero slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
F(x)=3 square root x

42. Is a standard quadratic function even - odd or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
Cannot be drawn in quizlet
Conditional

43. x=all real numbers is what type of an equation?
Identity
As many as you like
(f+g) - (f-g) - (fg) - (f/g) all of x
Equation of a line

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

45. What can we substitute for f(x)?
When does a graph not define y as a function of x?
Y
F(x)=x^3
As many as you like

46. What are the calculator instructions for a square root function?
Because the demintor of a quotient can never equal zero
2nd key - x^2 - graph
(-infinity - +infinity)
Function notation

47. What type of line is a constant function?
F(x2)-f(x1) / x2-x1
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero
0<c<1 - horizontal stretching

48. What points do you use to plot the inverse on a graph?
20+.05x=5+.10x x=minutes
Parabola
Yes - all the domains points to one range
The opposite coordinates

49. What is the vertical line formula?
Y=x^2 - graph
X=a
The secant line
0<c<1 - horizontal stretching

50. What is a domain?
The first set of components of an ordered pair
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+g) - (f-g) - (fg) - (f/g) all of x
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