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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. 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
Because the demintor of a quotient can never equal zero
Identity
(-infinity - +infinity)

2. What is the range of the cube root function?
1 -2 -3
Inconsistant
Perpendicular line
(-infinity - +infinity)

3. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
F(x)=+c and f(x)-c
F(x)=x^3
20+.05x=5+.10x x=minutes
Y=x - identity function

4. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Approach neg toward x through zero and above positive close to x
2nd catalog (zero key -) abs(x) - graph
Yes - all the domains points to one range
Zero slope

5. What is the range for an absolute value function?
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
X^2
(-infinity - 0]you[0 - +infinity)
X^2

6. What type of line is a constant function?
Absolute Value - Constant and Standard Quadratic
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
The secant line
Horizontal

7. Which direction does f(x-c) move
Horizontal right
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.
[0 -+infinity)

8. What is the domain for the standard cubic function?
Y=x^2 - graph
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x+h)-f(x)/h h cannot equal zero

9. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Negative slope
Zero slope
Undefined

10. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Parabola
M
The minimum or maximum points

11. What does linear equation mean?
(-infinity - +infinity)
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
Equation of a line
(-infinity - +infinity)

12. standard absolute value - horizontal shift formulas for left and right
Undefined
Y= then enter the number then press graph
F(x+c) and f(x-c)
Negative slope

13. How are functions normally written?
[0 -+infinity)
As equations
F of g and g of f
F(x)=3 square root x

14. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=IxI
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

15. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Y=x^2 - graph
As many as you like
F(x)=suare root of x

16. How would this formula move f(x)=(x+1)^2-3
Identity
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.
0<c<1 - horizontal stretching

17. What is the domain of a square root function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Yes because two x's or domains can point to one y
[0 -+infinity)
(-infinity - +infinity)

18. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Square Root
(-infinity - 0]you[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph

19. Draw or discuss an increasing function
Math 4 x - graph
Cannot be drawn in quizlet
Y=IxI
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. What shape is the standard quadratic function?
In a quotient
As equations
Parabola
[0 -+infinity)

21. How do you graph Ax+By+C=0?
The single number y=
Set the x and y to zero and get the intercepts and then plot the points
Change in y / change in x = rise / run = y2-y1 / x2-x1
A V

22. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
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
The slope of a line containing two points
F of g and g of f

23. What is the formula for to calculate the difference of a quotient function?
The opposite coordinates
X=a
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
F(x+h)-f(x)/h h cannot equal zero

24. What are the calculator instructions for a standard quadratic equation?
Conditional
Y=x^2 - graph
Even
F(x)=3 square root x

25. What type of line is an identity function?
45 degree angle
Negative slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As equations

26. What are the four steps for solving a linear equation?
(-infinity - +infinity)
Even
Because the demintor of a quotient can never equal 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.

27. How are functions normally written?
Y=x - identity function
As equations
F(x)=x^3
Y=x^2 - graph

28. What does the absolute value function look like?
Yes - all the domains points to one range
Because the demintor of a quotient can never equal zero
A V
Change in y / change in x = rise / run = y2-y1 / x2-x1

29. x=all real numbers is what type of an equation?
[0 -+infinity)
Y=IxI
The first set of components of an ordered pair
Identity

30. What is the domain of an identity function?
No because you cannot have one domain pointing at two y's or ranges
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

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

32. Is a standard quadratic function even - odd or neither?
The opposite coordinates
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even
[0 -+infinity)

33. What is the vertex?
Even
Conditional
The minimum or maximum points
(-infinity - +infinity)

34. What is the formula for the cube root function?
X2-x1 because the demonaitor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=3 square root x
F(x)=suare root of x

35. What does the graph of the cube root function look like on the graph?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
Approach neg toward x through zero and above positive close to x
Even

36. Which direction does f(x)=+c move in standard absolute value formula?
Odd
Up
Absolute Value - Constant and Standard Quadratic
4 -6 -9

37. What is the formula for an identity function?
F(x) = x
C>1 - horizontal shrinking
Identity
Even

38. Draw or discuss an increasing function
Parraelle line
Cannot be drawn in quizlet
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.
X is the hours to repair the boat. $1603-532=anwser/63 = x

39. What is a range?
Down
Cannot be drawn in quizlet
The second set of components of an ordered pair
(-infinity - +infinity)

40. What are the calculator instructions for a standard quadratic equation?
Square Root
Horizontal right
Y=x^2 - graph
Inconsitent

41. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Horizontal

42. $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?
Even
Any set of ordered pairs
The secant line
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

43. What are the calculator instructions for absolute value?
F(x)=IxI
The secant line
2nd catalog (zero key -) abs(x) - graph
Identity

44. How many domains can you have pointing to one range?
2nd key - x^2 - graph
As many as you like
M
The first set of components of an ordered pair

45. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
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.
0<c<1 - horizontal stretching
(-infinity - +infinity)

46. What are the calculator instructions for the cube root function?
The first set of components of an ordered pair
Math 4 x - graph
The slope of a line containing two points
Odd

47. What is the vertical line test?
When does a graph not define y as a function of x?
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching

48. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
1 -2 -3
Yes because two x's or domains can point to one 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

49. What is a constant function?
F(x)=+c and f(x)-c
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^1)=f(x^2)
Function notation

50. What is the range of an identity function?
Inconsitent
[0 -+infinity)
F(x)=3 square root x
(-infinity - +infinity)