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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. Draw or discuss a constant function
Even
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
F(x+c) and f(x-c)

2. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X=a
Y=IxI
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.
20+.05x=5+.10x x=minutes

3. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet

4. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
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
X is the hours to repair the boat. $1603-532=anwser/63 = x
Square Root

5. What are the algebra of functions?
Absolute Value - Constant and Standard Quadratic
Piecewise
(f+g) - (f-g) - (fg) - (f/g) all of 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

6. What is a function?
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
Y=b
Same

7. What is the vertical line test?
2nd key - x^2 - graph
Conditional
Horizontal
When does a graph not define y as a function of x?

8. f(x) = x^2+3x+5 - what type of formula is this?
Same
Horizontal
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

9. What is the range for the standard cubic function?
Negative slope
As many as you like
(-infinity - +infinity)
The minimum or maximum points

10. Of the seven of algebra's common graph's how many are even?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=IxI
Absolute Value - Constant and Standard Quadratic
Negative inverse

11. What is the formula for the cube root function?
F(x)=3 square root x
Parabola
F(x^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph

12. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Y
Conditional
Y=x - identity function

13. How are functions normally written?
The opposite coordinates
As equations
Conditional
Math 4 x - graph

14. What are the steps for solving a word problem?
Y
Conditional
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
2nd key - x^2 - graph

15. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even

16. What are the four steps for finding the inverse of a function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-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
Change in y / change in x = rise / run = y2-y1 / x2-x1

17. What is the vertex?
Function notation
X is the hours to repair the boat. $1603-532=anwser/63 = x
The minimum or maximum points
Mirror image neg quadrant to that of the positive quandrant

18. What type of slope do horizontal lines have?
Y=IxI
X math 3 graph
M
Same

19. Which direction does f(x+c) move
Identity
4 -6 -9
Horizontal left
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

20. What is the formula for the cube root function?
In a quotient
F(x)=3 square root x
Function notation
F(x) = x

21. What type of slope do you have when the line is horizontal and m=0?
F(x)=suare root of x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The first set of components of an ordered pair
Zero slope

22. What does the square root function look like on a graph?
F(x^1)=f(x^2)
Line ascending to the right gradually
A V
M

23. What is the domain for a standard quadratic function?
Parabola - up one and right three
Parraelle line
(-infinity - +infinity)
Even

24. x= a real number is what type of equation?
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
X = the original sale price and the formula is x - .40x =$276
Conditional

25. What is the formula for the square root function?
Yes - all the domains points to one range
F(x)=suare root of x
In a quotient
X math 3 graph

26. How many domains can you have pointing to one range?
F of g and g of f
As many as you like
C>1 - horizontal shrinking
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

27. What is the range of the constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
The single number y=
Down

28. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Y=x^2 - graph
X = the original sale price and the formula is x - .40x =$276
X2-x1 because the demonaitor of a quotient can never equal zero

29. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x2)-f(x1) / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

30. Why can h not equal zero in the difference of a quotient function formula?
20+.05x=5+.10x x=minutes
Because the demintor of a quotient can never equal zero
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
Set the x and y to zero and get the intercepts and then plot the points

31. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
The first set of components of an ordered pair
Even
(-infinity - +infinity)

32. Is the square root function odd - even or neither?
Horizontal right
Neither
Cannot be drawn in quizlet
Same

33. What equation does every line have? Discuss the variables.
Negative inverse
No because you cannot have one domain pointing at two y's or ranges
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.
When does a graph not define y as a function of x?

34. What are the calculator instructions for the cube root function?
Down
As many as you like
Math 4 x - graph
Negative inverse

35. What is the point slope formula and when do you use it?
Three odd - cube root - identity - standard cubic
F(x+h)-f(x)/h h cannot equal zero
X math 3 graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

36. Is a constant function even - odd or neither?
Even
Perpendicular line
Identity
Math 4 x - graph

37. Is an identity function even - odd or neither?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal
Horizontal right
Odd

38. Of the seven of algebra's common graph's how many are neither?
Square Root
Perpendicular line
Inconsistant
Horizontal right

39. Two vertical lines side by side are a symbol for what
Any set of ordered pairs
(-infinity - +infinity)
Conditional
Parraelle line

40. What can we substitute for f(x)?
F(x) = x
Y
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph

41. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Y
Even

42. What type of slope do you have when the line is horizontal and m=0?
As equations
Cannot be drawn in quizlet
Zero slope
F(x+c) and f(x-c)

43. What is a function?
The minimum or maximum points
1 -2 -3
Function notation
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

44. What is the domain for an absolute value function?
(-infinity - +infinity)
Neither
As many as you like
Approach neg toward x through zero and above positive close to x

45. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
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
Cannot be drawn in quizlet
2nd key - x^2 - graph

46. x=all real numbers is what type of an equation?
M
Identity
X^2
A line passing through two distinct points

47. What is the domain of an identity function?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Even
Y=10

48. What does the absolute value function look like?
A V
Identity
20+.05x=5+.10x x=minutes
Odd

49. What type of line is a constant function?
Set the x and y to zero and get the intercepts and then plot the points
F(x)=IxI
Yes because two x's or domains can point to one y
Horizontal

50. Which direction does f(x+c) move
(-infinity - 0]you[0 - +infinity)
Horizontal left
(-infinity - +infinity)
Parabola