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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 type of slope do you have when a line falls left to right and m<0?
Even
Negative slope
Postiive slope
As many as you like

2. What equation does every line have? Discuss the variables.
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.
F(x)=3 square root x
X2-x1 because the demonaitor of a quotient can never 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.

3. What type of line is a constant function?
When does a graph not define y as a function of x?
Horizontal
Conditional
Math 4 x - graph

4. What does the average rate of change formula solve?
Equation of a line
The slope of a line containing two points
Up
F(x)=+c and f(x)-c

5. What type of slope do you have when m=? and the line is vertical?
Undefined slope
X^2
Horizontal
F(x)=3 square root x

6. What is the vertical line formula?
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
In a quotient
Y=x - identity function
X=a

7. What type of slope do vertical lines have?
The slope of a line containing two points
Identity
Only one
Undefined

8. What is the letter used to represent slope?
M
Horizontal
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X2-x1 because the demonaitor of a quotient can never equal zero

9. What is the range of a square root function?
Even
Absolute Value - Constant and Standard Quadratic
1 -2 -3
[0 -+infinity)

10. $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?
(-infinity - +infinity)
The opposite coordinates
(-infinity - +infinity)
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

11. What is the standard quadratic function?
Perpendicular line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X^2
F(x)=3 square root x

12. What are the algebra of functions?
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
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
Undefined slope

13. What is the formula for to calculate the difference of a quotient function?
Yes - all the domains points to one range
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.
F(x+h)-f(x)/h h cannot equal zero

14. Of the seven of algebra's common graph's how many are neither?
Square Root
20+.05x=5+.10x x=minutes
Horizontal left
Math 4 x - graph

15. What is the standard quadratic function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x+c) and f(x-c)
X^2

16. What is the range of a square root function?
[0 -+infinity)
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
In a quotient
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.

17. Of the seven of algebra's common graph's how many are even?
The first set of components of an ordered pair
Absolute Value - Constant and Standard Quadratic
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
As equations

18. What is the domain for the standard cubic function?
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.
The minimum or maximum points
(-infinity - +infinity)

19. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
F of g and g of f
Math 4 x - graph
Conditional

20. What does the square root function look like on a graph?
Function notation
Even
Line ascending to the right gradually
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

21. Which direction does f(x+c) move
Horizontal left
(f+g) - (f-g) - (fg) - (f/g) all of x
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+c) and f(x-c)

22. What type of slope do horizontal lines have?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Same
Horizontal right
F(x)=suare root of x

23. What is another way of writing the absolute value function?
Yes - all the domains points to one range
Y=IxI
Line ascending to the right gradually
A V

24. What are the four steps for solving a linear equation?
Inconsistant
F(x^1)=f(x^2)
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

25. What does the graph of the cube root function look like on the 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
Only one
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet

26. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Cannot be drawn in quizlet
F of g and g of f
F(x+h)-f(x)/h h cannot equal zero

27. Draw or discuss an increasing function
20+.05x=5+.10x x=minutes
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
F(x+c) and f(x-c)

28. What does the absolute value function look like?
Odd
Yes because two x's or domains can point to one y
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.
A V

29. What are the four steps for finding the inverse of a function?
Inconsistant
Down
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=10

30. Which direction does f(x)=+c move in standard absolute value formula?
Up
Y=b
As many as you like
(-infinity - +infinity)

31. What are the calculator instructions for the standard cubic function?
X math 3 graph
Inconsitent
F(x)=IxI
In a quotient

32. What is an identity function?
Square Root
Line ascending to the right gradually
45 degree angle
Horizontal

33. What is the range of an identity function?
Horizontal
Math 4 x - graph
(-infinity - +infinity)
Up

34. 4x+5x=8x is what type of an equation?
Equation of a line
Conditional
(-infinity - +infinity)
X=a

35. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Postiive slope
Cannot be drawn in quizlet
Only one

36. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
45 degree angle
Cannot be drawn in quizlet
Y=x^2 - graph

37. What is a relation?
Horizontal
Negative inverse
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
Any set of ordered pairs

38. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
0<c<1 - horizontal stretching
Yes - all the domains points to one range
Conditional
[0 -+infinity)

39. What is the formula for slope?
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

40. What are the steps for solving a word problem?
Absolute Value - Constant and Standard Quadratic
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
Cannot be drawn in quizlet

41. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x)=3 square root x
Yes - all the domains points to one range
The slope of a line containing two points
Even

42. Which direction does f(x-c) move
Horizontal right
As many as you like
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet

43. x=all real numbers is what type of an equation?
Y=IxI
Only one
Identity
Cannot be drawn in quizlet

44. What type of slope do you have when the line is horizontal and m=0?
Same
Inconsitent
Zero slope
F(x)=+c and f(x)-c

45. What is the range for the standard cubic function?
Three odd - cube root - identity - standard cubic
1 -2 -3
(-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

46. Two vertical lines side by side are a symbol for what
Parraelle line
Postiive slope
F(x)=+c and f(x)-c
Horizontal right

47. What is a range?
X = the original sale price and the formula is x - .40x =$276
Identity
Because the demintor of a quotient can never equal zero
The second set of components of an ordered pair

48. What is the formula for the square root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
20+.05x=5+.10x x=minutes
F(x)=suare root of x
45 degree angle

49. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Postiive slope
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
Three odd - cube root - identity - standard cubic
4 -6 -9

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