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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 cube root function?
Cannot be drawn in quizlet
(-infinity - +infinity)
F(x)=3 square root x
Inconsitent

2. 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
Identity
Inconsitent
M

3. What shape is the standard quadratic function?
When does a graph not define y as a function of x?
Even
X=a
Parabola

4. Draw or discuss a decreasing function
Horizontal right
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
X is the hours to repair the boat. $1603-532=anwser/63 = x

5. How would this formula move f(x)=(x+1)^2-3
Negative inverse
Parabola - up one and right three
Three odd - cube root - identity - standard cubic
Y=10

6. x=no real numbers is what type of an equation?
Even
Inconsistant
Only one
Equation of a line

7. $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?
Zero slope
X = the original sale price and the formula is x - .40x =$276
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
Cannot be drawn in quizlet

8. Is an identity function even - odd or neither?
Odd
45 degree angle
A line passing through two distinct points
C>1 - horizontal shrinking

9. Two vertical lines side by side are a symbol for what
Set the x and y to zero and get the intercepts and then plot the points
F(x)=suare root of x
Parraelle line
Cannot be drawn in quizlet

10. What is the domain for an absolute value function?
Inconsistant
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Negative slope

11. What does the absolute value function look like?
A V
F(x)=suare root of x
Parabola
Yes - all the domains points to one range

12. What is a relation?
Mirror image neg quadrant to that of the positive quandrant
Any set of ordered pairs
Math 4 x - graph
Identity

13. What is the formula for an identity function?
F(x)=suare root of x
Down
Mirror image neg quadrant to that of the positive quandrant
F(x) = x

14. What are the four steps for solving a linear equation?
Zero slope
The minimum or maximum points
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 -+infinity)

15. What is another way of writing the absolute value function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=x^3
Y=IxI
2nd catalog (zero key -) abs(x) - graph

16. What is the standard quadratic function?
Even
X^2
The secant line
Same

17. What is the formula for the square root function?
F(x)=suare root of x
The secant line
A V
(-infinity - +infinity)

18. What is the horizontal line formula?
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
Y=b
[0 -+infinity)

19. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
As equations
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A V

20. What is the formula for an absolute value function?
F(x)=IxI
Perpendicular line
[0 -+infinity)
Y=b

21. What is an identity function?
F of g and g of f
F(x) = x
F(x)=suare root of x
45 degree angle

22. What is the domain of an identity function?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Down
Yes because two x's or domains can point to one y

23. What is the formula for slope?
Math 4 x - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b
F(x^1)=f(x^2)

24. What is the domain of the cube root function?
X2-x1 because the demonaitor of a quotient can never equal zero
Square Root
X=a
(-infinity - +infinity)

25. What are the calculator instructions for the standard cubic function?
Horizontal left
X math 3 graph
Up
Three odd - cube root - identity - standard cubic

26. y=f(cx) - What does this formula represent?
The single number y=
Odd
C>1 - horizontal shrinking
The second set of components of an ordered pair

27. x=no real numbers is what type of an equation?
Inconsistant
Down
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.
Down

28. 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.
Postiive slope
Horizontal left
Undefined

29. What is the domain and range of a constant function?
(-infinity - +infinity)
F(x)=3 square root x
The minimum or maximum points
45 degree angle

30. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Because the demintor 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
Odd

31. What is the range of a square root function?
The first set of components of an ordered pair
Math 4 x - graph
0<c<1 - horizontal stretching
[0 -+infinity)

32. What points do you use to plot the inverse on a graph?
Yes because two x's or domains can point to one y
Piecewise
The first set of components of an ordered pair
The opposite coordinates

33. What is the slope of a perpendicular line?
Because the demintor of a quotient can never equal zero
The second set of components of an ordered pair
Parabola
Negative inverse

34. What is the formula for the standard cubic function?
F(x)=x^3
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
(-infinity - +infinity)

35. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
As many as you like
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The opposite coordinates
X2-x1 because the demonaitor of a quotient can never equal zero

36. Of the seven of algebra's common graph's how many are neither?
Absolute Value - Constant and Standard Quadratic
Square Root
Even
Y=b

37. What is the formula for to calculate the difference of a quotient function?
[0 -+infinity)
F(x^1)=f(x^2)
F(x+h)-f(x)/h h cannot equal zero
Even

38. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
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
Horizontal right
[0 -+infinity)

39. What is the domain for an absolute value function?
(-infinity - +infinity)
Horizontal
Y= then enter the number then press graph
Equation of a line

40. What is the vertical line formula?
Same
The single number y=
X=a
(f+g) - (f-g) - (fg) - (f/g) all of x

41. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Zero slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

42. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
F(x)=+c and f(x)-c
Zero slope
Negative slope

43. In an identity function if f(10)=x than What is y?
F(x^1)=f(x^2)
(-infinity - 0]you[0 - +infinity)
Y=10
Neither

44. Is an absolute value function even - odd or neither?
Up
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
(-infinity - +infinity)

45. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Identity
A line passing through two distinct points
(-infinity - +infinity)

46. In an identity function if f(10)=x than What is y?
Y=10
Yes because two x's or domains can point to one y
F(x)=+c and f(x)-c
Yes because two x's or domains can point to one y

47. 4(x-7)=4x+28 is what type of an equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=b
45 degree angle
Inconsitent

48. What are the calculator instructions for a square root function?
Horizontal
2nd key - x^2 - graph
(-infinity - +infinity)
Negative inverse

49. f(x) = x^2+3x+5 - what type of formula is this?
Three odd - cube root - identity - standard cubic
Function notation
F(x^1)=f(x^2)
Yes because two x's or domains can point to one y

50. What is the point slope formula and when do you use it?
Piecewise
Y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle