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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. Of the seven of algebra's common graph's how many are neither?
A line passing through two distinct points
Square Root
X=a
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. Is a constant function even - odd or neither?
Math 4 x - graph
X2-x1 because the demonaitor of a quotient can never equal zero
As equations
Even

3. What is the range for the standard cubic function?
F(x+c) and f(x-c)
(-infinity - +infinity)
F(x+c) and f(x-c)
Approach neg toward x through zero and above positive close to x

4. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
F(x)=+c and f(x)-c
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.

5. What is the formula for an identity function?
The slope of a line containing two points
F(x) = x
Parabola
Inconsitent

6. What are the calculator instructions for absolute value?
As many as you like
2nd catalog (zero key -) abs(x) - graph
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
20+.05x=5+.10x x=minutes

7. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
(-infinity - 0]you[0 - +infinity)
X = the original sale price and the formula is x - .40x =$276
Function notation

8. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Zero slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A line passing through two distinct points

9. 4(x-7)=4x-28 is what type of an equation?
[0 -+infinity)
F of g and g of f
Identity
The secant line

10. What is the domain of the cube root function?
Odd
Down
(-infinity - +infinity)
When does a graph not define y as a function of x?

11. What are the four steps for solving a linear equation?
45 degree angle
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Equation of a line
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.

12. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Yes - all the domains points to one range
Neither
F(x)=3 square root x

13. What are the calculator instructions for a square root function?
Y=x - identity function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
2nd key - x^2 - graph
Y=b

14. What is the slope of a perpendicular line?
Negative inverse
Yes because two x's or domains can point to one y
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The minimum or maximum points

15. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
F(x+h)-f(x)/h h cannot equal zero
1 -2 -3
Cannot be drawn in quizlet
As equations

16. What is the domain for a standard quadratic function?
X math 3 graph
Y= then enter the number then press graph
4 -6 -9
(-infinity - +infinity)

17. y=f(cx) What does this formula represent?
The single number y=
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
20+.05x=5+.10x x=minutes
0<c<1 - horizontal stretching

18. Is an absolute value function even - odd or neither?
Even
Same
Y=x^2 - graph
(-infinity - +infinity)

19. What is the domain of an identity function?
Up
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

20. What is another way of writing the absolute value function?
Y=b
Y=IxI
Inconsitent
Horizontal left

21. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
As equations
Approach neg toward x through zero and above positive close to 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
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.

22. What is a domain?
Mirror image neg quadrant to that of the positive quandrant
The second set of components of an ordered pair
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x

23. What is the range for an absolute value function?
45 degree angle
Any set of ordered pairs
(-infinity - 0]you[0 - +infinity)
Undefined

24. Draw or discuss a constant function
Conditional
Cannot be drawn in quizlet
Odd
When does a graph not define y as a function of x?

25. What is the range for a standard quadratic function?
Parraelle line
Undefined slope
(-infinity - 0]you[0 - +infinity)
Parabola

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

27. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Function notation
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
Identity

28. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Absolute Value - Constant and Standard Quadratic
Y= then enter the number then press graph
Same

29. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Down
Math 4 x - graph
Cannot be drawn in quizlet

30. What shape is the standard quadratic function?
Negative slope
Parabola
Parabola - up one and right three
(-infinity - +infinity)

31. What type of line is a constant function?
(-infinity - 0]you[0 - +infinity)
Horizontal
Yes because two x's or domains can point to one y
X math 3 graph

32. Of the seven of algebra's common graph's how many are neither?
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
Even
Square Root
Piecewise

33. Draw or discuss an increasing function
X = the original sale price and the formula is x - .40x =$276
X^2
Horizontal
Cannot be drawn in quizlet

34. Two vertical lines side by side are a symbol for what
X is the hours to repair the boat. $1603-532=anwser/63 = x
Parraelle line
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
X = the original sale price and the formula is x - .40x =$276

35. x=all real numbers is what type of an equation?
[0 -+infinity)
Identity
Horizontal
Yes because two x's or domains can point to one y

36. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes because two x's or domains can point to one y
20+.05x=5+.10x x=minutes
Yes - all the domains points to one range
(-infinity - +infinity)

37. In an identity function if f(10)=x than What is y?
Y=10
As equations
Mirror image neg quadrant to that of the positive quandrant
A line passing through two distinct points

38. Is a standard quadratic function even - odd or neither?
Even
Set the x and y to zero and get the intercepts and then plot the points
M
Horizontal right

39. What does the standard cubic function look like on a graph?
The first set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
Square Root
Absolute Value - Constant and Standard Quadratic

40. Which direction does f(x+c) move
M
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal left
Set the x and y to zero and get the intercepts and then plot the points

41. What does the average rate of change formula solve?
As many as you like
The slope of a line containing two points
X2-x1 because the demonaitor of a quotient can never equal zero
F(x) = x

42. What is the domain of an identity function?
Y
(-infinity - +infinity)
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

43. What are the four steps for solving a linear equation?
45 degree angle
[0 -+infinity)
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.
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.

44. What is the formula for the cube root function?
Inconsitent
2nd catalog (zero key -) abs(x) - graph
F(x)=3 square root x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

45. 4(x-7)=4x+28 is what type of an equation?
Function notation
Equation of a line
Postiive slope
Inconsitent

46. What is the vertex?
The minimum or maximum points
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Negative slope

47. What is the standard quadratic function?
X^2
Any set of ordered pairs
As equations
F(x) = x

48. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Yes because two x's or domains can point to one y
Parraelle line
The secant line
F(x)=IxI

49. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y=10
A V
The secant line
Zero slope

50. How many ranges can you have for each domain?
[0 -+infinity)
F(x)=x^3
Zero slope
Only one