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College Algebra Test

Subjects : math, algebra

Instructions:

Answer 50 questions in 30 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 can never equal zero in the slope formula and why?
Negative slope
X2-x1 because the demonaitor of a quotient can never equal zero
M
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

2. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Yes because two x's or domains can point to one y
Up
Y=IxI

3. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Inconsistant
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph

4. 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.
2nd key - x^2 - graph
(-infinity - +infinity)
Identity

5. What is a relation?
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.
The secant line
X^2
Any set of ordered pairs

6. What is the formula for the cube root function?
As many as you like
Y=x^2 - graph
F(x)=3 square root x
[0 -+infinity)

7. What is the letter used to represent slope?
1 -2 -3
F(x)=suare root of x
Absolute Value - Constant and Standard Quadratic
M

8. What points do you use to plot the inverse on a graph?
The opposite coordinates
(-infinity - +infinity)
C>1 - horizontal shrinking
2nd key - x^2 - graph

9. What is the formula for slope?
A V
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
As equations

10. What are the calculator instructions for absolute value?
Function notation
Parabola
2nd catalog (zero key -) abs(x) - graph
Y=10

11. What are the calculator instructions for a standard quadratic equation?
Perpendicular line
Zero slope
Y=x^2 - graph
M

12. What is slope?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
A line passing through two distinct points
(-infinity - +infinity)

13. What points do you use to plot the inverse on a graph?
Three odd - cube root - identity - standard cubic
The opposite coordinates
The minimum or maximum points
Even

14. What is slope?
X=a
Cannot be drawn in quizlet
Negative inverse
A line passing through two distinct points

15. What is the domain and range of a constant function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x2)-f(x1) / x2-x1
Neither
(-infinity - +infinity)

16. What type of slope do vertical lines have?
Undefined
Horizontal
Approach neg toward x through zero and above positive close to x
(-infinity - 0]you[0 - +infinity)

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

18. What type of line is a constant function?
Horizontal
Cannot be drawn in quizlet
C>1 - horizontal shrinking
The slope of a line containing two points

19. What is a constant function?
Undefined slope
F(x^1)=f(x^2)
X math 3 graph
M

20. What is the slope of a perpendicular line?
Negative inverse
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Neither
0<c<1 - horizontal stretching

21. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Conditional
X = the original sale price and the formula is x - .40x =$276
Even

22. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
[0 -+infinity)
Three odd - cube root - identity - standard cubic
Negative inverse

23. Is a constant function even - odd or neither?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Even
45 degree angle
2nd key - x^2 - graph

24. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x)=3 square root x
Yes - all the domains points to one range
X = the original sale price and the formula is x - .40x =$276
A V

25. x=all real numbers is what type of an equation?
Y=b
Y=10
Identity
0<c<1 - horizontal stretching

26. Draw or discuss an increasing function
2nd catalog (zero key -) abs(x) - graph
Horizontal
F(x) = x
Cannot be drawn in quizlet

27. What is the vertex?
The minimum or maximum points
Equation of a line
Set the x and y to zero and get the intercepts and then plot the points
20+.05x=5+.10x x=minutes

28. What is a function?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]you[0 - +infinity)
Approach neg toward x through zero and above positive close to x

29. What is the domain for the standard cubic function?
(-infinity - +infinity)
F(x)=+c and f(x)-c
Up
[0 -+infinity)

30. What is the line called that illustrates the straight line between the two points when showing average rate of change?
45 degree angle
(-infinity - 0]you[0 - +infinity)
The secant line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

31. Which direction does f(x-c) move
Undefined slope
Horizontal right
Cannot be drawn in quizlet
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

32. What are the calculator instructions for the cube root function?
Math 4 x - graph
F(x)=x^3
Undefined
The single number y=

33. What is a constant function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x+c) and f(x-c)
The opposite coordinates
F(x^1)=f(x^2)

34. What does the square root function look like on a graph?
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.
Line ascending to the right gradually
Because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x

35. Which direction does f(x+c) move
[0 -+infinity)
Horizontal left
Absolute Value - Constant and Standard Quadratic
4 -6 -9

36. x=no real numbers is what type of an equation?
Even
Neither
Inconsistant
Even

37. What is the formula for to calculate the difference of a quotient function?
F(x)=x^3
Y=x - identity function
F(x+h)-f(x)/h h cannot equal zero
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.

38. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
(-infinity - +infinity)
Horizontal right
In a quotient

39. What does linear equation mean?
X = the original sale price and the formula is x - .40x =$276
Horizontal
As equations
Equation of a line

40. What are the steps for solving a word problem?
F(x) = x
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 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
Odd

41. What shape is the standard quadratic function?
Horizontal
Even
F(x+h)-f(x)/h h cannot equal zero
Parabola

42. What is the range of an identity function?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Undefined
Even

43. standard absolute value - horizontal shift formulas for left and right
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)
Negative inverse
X^2

44. What are two examples of composit functions?
F of g and g of f
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
X^2

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

46. What is the letter used to represent slope?
X math 3 graph
M
4 -6 -9
In a quotient

47. 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
Y= then enter the number then press graph
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

48. What is the formula for an identity function?
Horizontal
Same
(-infinity - +infinity)
F(x) = x

49. What is the domain for a standard quadratic function?
Identity
45 degree angle
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

50. What shape is the standard quadratic function?
F(x)=IxI
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Parabola
X2-x1 because the demonaitor of a quotient can never equal zero

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College Algebra Test

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