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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 is the formula for the square root function?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x^1)=f(x^2)
Function notation
F(x)=suare root of x

2. What is the domain and range of a constant function?
As equations
(-infinity - +infinity)
Function notation
F(x^1)=f(x^2)

3. What is a domain?
The first set of components of an ordered pair
Conditional
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Inconsitent

4. What shape is the standard quadratic 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
Parabola
Y=b
Negative slope

5. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Even
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
F(x+c) and f(x-c)
Y=x^2 - graph

6. Is the square root function odd - even or neither?
(-infinity - +infinity)
Conditional
Neither
Function notation

7. What is a domain?
Conditional
The first set of components of an ordered pair
(-infinity - +infinity)
Even

8. What are the steps for solving a word problem?
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
Undefined
Even
Any set of ordered pairs

9. What is the domain for an absolute value function?
2nd catalog (zero key -) abs(x) - graph
Perpendicular line
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

10. Is a constant function even - odd or neither?
F of g and g of f
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
Math 4 x - graph

11. In an identity function if f(10)=x than What is y?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function
Piecewise
Y=10

12. Two vertical lines side by side are a symbol for what
Parabola
2nd key - x^2 - graph
Parraelle line
Odd

13. How would this formula move f(x)=(x+1)^2-3
Y=IxI
0<c<1 - horizontal stretching
Parabola - up one and right three
(-infinity - +infinity)

14. Why can h not equal zero in the difference of a quotient function formula?
45 degree angle
Undefined slope
F(x) = x
Because the demintor of a quotient can never equal zero

15. What is the point slope formula and when do you use it?
Y=10
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)
Conditional

16. standard absolute value - horizontal shift formulas for left and right
F(x)=+c and f(x)-c
F(x+c) and f(x-c)
Parraelle line
(-infinity - +infinity)

17. How do you graph Ax+By+C=0?
The slope of a line containing two points
(-infinity - +infinity)
Y= then enter the number then press graph
Set the x and y to zero and get the intercepts and then plot the points

18. What are two examples of composit functions?
F of g and g of f
Even
Absolute Value - Constant and Standard Quadratic
Square Root

19. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Because the demintor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic
The second set of components of an ordered pair
4 -6 -9

20. What can never equal zero in the slope formula and why?
M
0<c<1 - horizontal stretching
F(x+c) and f(x-c)
X2-x1 because the demonaitor of a quotient can never equal zero

21. What is the standard quadratic function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A line passing through two distinct points
Y=IxI
X^2

22. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - 0]you[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
X math 3 graph
Postiive slope

23. What is the formula for an absolute value function?
F(x)=IxI
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
Y=x^2 - graph
M

24. What shape is the standard quadratic function?
The single number y=
Parabola
F(x)=suare root of x
Parabola - up one and right three

25. What is the standard quadratic function?
X^2
Square Root
The single number y=
(-infinity - +infinity)

26. 4(x-7)=4x-28 is what type of an equation?
Mirror image neg quadrant to that of the positive quandrant
Negative slope
Up
Identity

27. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Up
Y
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even

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

29. Is an identity function even - odd or neither?
(-infinity - +infinity)
Even
Piecewise
Odd

30. Of the seven of algebra's common graph's how many are neither?
(-infinity - 0]you[0 - +infinity)
Square Root
F(x)=x^3
Change in y / change in x = rise / run = y2-y1 / x2-x1

31. What can never equal zero in the slope formula and why?
Any set of ordered pairs
2nd catalog (zero key -) abs(x) - graph
X2-x1 because the demonaitor of a quotient can never equal zero
As many as you like

32. What is a relation?
Y=x^2 - graph
Any set of ordered pairs
Identity
Equation of a line

33. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
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
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

34. A flat line underlining one vertical line is a symbol for...
X = the original sale price and the formula is x - .40x =$276
Down
(-infinity - +infinity)
Perpendicular line

35. What is the slope of a perpendicular line?
Math 4 x - graph
Negative inverse
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x+h)-f(x)/h h cannot equal zero

36. What is the formula for the standard cubic function?
Same
F(x)=x^3
Identity
45 degree angle

37. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
F(x)=x^3
1 -2 -3
4 -6 -9
Y=b

38. What are the calculator instructions for absolute value?
As many as you like
2nd catalog (zero key -) abs(x) - graph
Postiive slope
Conditional

39. 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.
(-infinity - +infinity)
X=a
1 -2 -3

40. What are the calculator instructions for absolute value?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd catalog (zero key -) abs(x) - graph
X=a
Three odd - cube root - identity - standard cubic

41. What is a relation?
Parraelle line
Piecewise
X is the hours to repair the boat. $1603-532=anwser/63 = x
Any set of ordered pairs

42. 4x+5x=8x is what type of an equation?
Perpendicular line
Conditional
F of g and g of f
X math 3 graph

43. Of the seven of algebra's common graph's how many are odd?
(-infinity - 0]you[0 - +infinity)
Odd
Three odd - cube root - identity - standard cubic
X is the hours to repair the boat. $1603-532=anwser/63 = x

44. What type of line is a constant function?
Y=IxI
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.
Horizontal
Negative slope

45. What is the range of the constant function?
Approach neg toward x through zero and above positive close to x
The single number y=
Perpendicular line
X is the hours to repair the boat. $1603-532=anwser/63 = x

46. Which direction does f(x)=+c move in standard absolute value formula?
Horizontal
Y=10
Up
Horizontal

47. What is the slope intercept formula? Define all the variables.
(f+g) - (f-g) - (fg) - (f/g) all 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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Horizontal

48. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Parabola
A line passing through two distinct points
X math 3 graph

49. A flat line underlining one vertical line is a symbol for...
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
Perpendicular line
Cannot be drawn in quizlet
Even

50. Is a standard quadratic function even - odd or neither?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=suare root of x
Horizontal
Even