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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. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
Perpendicular line
Y=10
Odd

2. What is the point slope formula and when do you use it?
Same
Down
F of g and g of f
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

3. Which direction does f(x)=+c move in standard absolute value formula?
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
Horizontal right
Up
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

4. What are the calculator instructions for a standard quadratic equation?
C>1 - horizontal shrinking
Y=x^2 - graph
Negative inverse
F(x2)-f(x1) / x2-x1

5. Draw or discuss a decreasing function
A line passing through two distinct points
F(x)=3 square root x
Cannot be drawn in quizlet
The secant line

6. What is the formula for the square root function?
F(x)=suare root of x
(-infinity - 0]you[0 - +infinity)
As many as you like
Zero slope

7. Which direction does f(x-c) move
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
As equations
Y=10
Horizontal right

8. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]you[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

9. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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.
In a quotient

10. f(x) = x^2+3x+5 - what type of formula is this?
Conditional
The minimum or maximum points
Y
Function notation

11. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
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
Inconsistant
Undefined slope

12. What is the range of the cube root function?
(-infinity - +infinity)
45 degree angle
Y=b
The second set of components of an ordered pair

13. What type of slope do horizontal lines have?
The first set of components of an ordered pair
A line passing through two distinct points
Same
(-infinity - +infinity)

14. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Odd
Y=IxI
0<c<1 - horizontal stretching

15. What is the domain of a square root function?
F(x^1)=f(x^2)
[0 -+infinity)
Function notation
The single number y=

16. What type of slope do you have when m=? and the line is vertical?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F of g and g of f
Undefined slope
Y=10

17. What type of line is a constant function?
Horizontal left
Identity
Horizontal
Mirror image neg quadrant to that of the positive quandrant

18. y=f(cx) What does this formula represent?
Any set of ordered pairs
0<c<1 - horizontal stretching
Set the x and y to zero and get the intercepts and then plot the points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

19. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Up
The secant 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.

20. What is a constant function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The single number y=
Odd
F(x^1)=f(x^2)

21. What type of line is a constant function?
Horizontal
Even
Neither
Y=x^2 - graph

22. Draw or discuss a constant function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
Equation of a line
Cannot be drawn in quizlet

23. Of the seven of algebra's common graph's how many are neither?
4 -6 -9
Square Root
X math 3 graph
45 degree angle

24. Is a standard quadratic function even - odd or neither?
Even
Undefined slope
As many as you like
A V

25. What are two examples of composit functions?
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
A V
2nd key - x^2 - graph
F of g and g of f

26. What is the vertical line formula?
X2-x1 because the demonaitor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
X=a
Inconsistant

27. What is the range of an identity function?
Down
(-infinity - +infinity)
F of g and g of f
Absolute Value - Constant and Standard Quadratic

28. What is the domain of the cube root function?
(-infinity - +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
Undefined slope
Y= then enter the number then press graph

29. What is the slope of a perpendicular line?
X math 3 graph
Parabola
A line passing through two distinct points
Negative inverse

30. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Y=x^2 - graph
Square Root
45 degree angle

31. Why can h not equal zero in the difference of a quotient function formula?
X math 3 graph
Because the demintor of a quotient can never equal zero
F of g and g of f
20+.05x=5+.10x x=minutes

32. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
In a quotient
F(x)=suare root of x
X math 3 graph

33. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Math 4 x - graph
F(x)=x^3
45 degree angle

34. x=all real numbers is what type of an equation?
The minimum or maximum points
Square Root
When does a graph not define y as a function of x?
Identity

35. How are functions normally written?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Perpendicular line
As equations
Only one

36. What are the four steps for solving a linear equation?
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.
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
Three odd - cube root - identity - standard cubic

37. What is the domain for an absolute value function?
Down
F(x)=suare root of x
Math 4 x - graph
(-infinity - +infinity)

38. What type of line is an identity function?
45 degree angle
Horizontal
The first set of components of an ordered pair
The slope of a line containing two points

39. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Conditional
X is the hours to repair the boat. $1603-532=anwser/63 = x
Negative slope
F(x) = x

40. y=f(cx) What does this formula represent?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=
0<c<1 - horizontal stretching

41. What is the vertical line test?
Y=b
When does a graph not define y as a function of x?
Function notation
Conditional

42. What is the average rate of change formula?
(-infinity - +infinity)
Horizontal
Horizontal
F(x2)-f(x1) / x2-x1

43. x= a real number is what type of equation?
Three odd - cube root - identity - standard cubic
Inconsistant
Conditional
F(x+h)-f(x)/h h cannot equal zero

44. Which direction does f(x+c) move
Line ascending to the right gradually
Horizontal left
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.
(-infinity - +infinity)

45. x=no real numbers is what type of an equation?
0<c<1 - horizontal stretching
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
(-infinity - +infinity)
Inconsistant

46. What direction does f(x)-c move in standard absolute value formula?
Conditional
Postiive slope
Equation of a line
Down

47. What type of slope do you have when a line rises from left to right and m>0?
0<c<1 - horizontal stretching
2nd key - x^2 - graph
The first set of components of an ordered pair
Postiive slope

48. Is the square root function odd - even or neither?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Even
Y=10
Neither

49. What is the domain of a square root function?
The single number y=
Parabola - up one and right three
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)

50. What is another way of writing the absolute value function?
Only one
M
Y=IxI
Cannot be drawn in quizlet