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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 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
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x

2. What is the slope intercept formula? Define all the variables.
X math 3 graph
X = the original sale price and the formula is x - .40x =$276
Neither
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

3. A flat line underlining one vertical line is a symbol for...
(-infinity - +infinity)
A line passing through two distinct points
The secant line
Perpendicular line

4. 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?
Undefined
Parabola
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x

5. What can we substitute for f(x)?
Up
Horizontal
As many as you like
Y

6. Which direction does f(x-c) move
Identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Inconsistant
Horizontal right

7. Which direction does f(x+c) move
Negative inverse
Identity
X math 3 graph
Horizontal left

8. Is an absolute value function even - odd or neither?
F(x^1)=f(x^2)
Odd
Even
Yes because two x's or domains can point to one y

9. How would this formula move f(x)=(x+1)^2-3
Yes - all the domains points to one range
Parabola - up one and right three
Identity
(-infinity - +infinity)

10. What is the vertical line test?
When does a graph not define y as a function of x?
F of g and g of f
Piecewise
Postiive slope

11. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
[0 -+infinity)
M
Odd

12. In an identity function if f(10)=x than What is y?
20+.05x=5+.10x x=minutes
Y=10
F(x2)-f(x1) / x2-x1
The secant line

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

14. How do you graph Ax+By+C=0?
Only one
(-infinity - +infinity)
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points

15. Camera sales price $276 and that is 40% off - What is the original sale price? What does 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
Y=10
X = the original sale price and the formula is x - .40x =$276
Line ascending to the right gradually

16. What type of slope do you have when the line is horizontal and m=0?
Mirror image neg quadrant to that of the positive quandrant
Even
The single number y=
Zero slope

17. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
A V
As equations
20+.05x=5+.10x x=minutes

18. What direction does f(x)-c move in standard absolute value formula?
F(x+h)-f(x)/h h cannot equal zero
1 -2 -3
F(x) = x
Down

19. x= a real number is what type of equation?
X^2
X2-x1 because the demonaitor of a quotient can never equal zero
Odd
Conditional

20. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=IxI
A V

21. What is the vertical line formula?
X=a
Function notation
20+.05x=5+.10x x=minutes
Negative slope

22. What is the standard quadratic function?
Y
(-infinity - +infinity)
X^2
20+.05x=5+.10x x=minutes

23. What is the domain for an absolute value function?
F(x^1)=f(x^2)
F(x+c) and f(x-c)
(-infinity - +infinity)
Y=b

24. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
A V
Undefined slope
Mirror image neg quadrant to that of the positive quandrant

25. What are the calculator instructions for the cube root function?
Three odd - cube root - identity - standard cubic
Even
Approach neg toward x through zero and above positive close to x
Math 4 x - graph

26. Draw or discuss a constant function
Set the x and y to zero and get the intercepts and then plot the points
The second set of components of an ordered pair
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic

27. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Three odd - cube root - identity - standard cubic

28. What is the formula for to calculate the difference of a quotient function?
2nd key - x^2 - graph
Only one
F(x+h)-f(x)/h h cannot equal zero
Any set of ordered pairs

29. What are the calculator instructions for a standard quadratic equation?
When does a graph not define y as a function of x?
X^2
Y=x^2 - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

30. What is the formula for the square root function?
C>1 - horizontal shrinking
Identity
F(x)=suare root of x
45 degree angle

31. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Y=b
Three odd - cube root - identity - standard cubic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

32. What is a constant function?
F(x)=suare root of x
Any set of ordered pairs
Even
F(x^1)=f(x^2)

33. What does the square root function look like on a graph?
X^2
Any set of ordered pairs
Line ascending to the right gradually
The slope of a line containing two points

34. What does the average rate of change formula solve?
Undefined slope
The slope of a line containing two points
Square Root
Yes - all the domains points to one range

35. What are the steps for solving a word problem?
Parabola
Negative inverse
In a quotient
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

36. What are the calculator instructions for a square root function?
Square Root
Horizontal right
2nd key - x^2 - graph
Even

37. What is the domain and range of a constant function?
Parraelle line
No because you cannot have one domain pointing at two y's or ranges
F(x)=suare root of x
(-infinity - +infinity)

38. What are the calculator instructions for absolute value?
Yes - all the domains points to one range
Parraelle line
Function notation
2nd catalog (zero key -) abs(x) - graph

39. What is the line called that illustrates the straight line between the two points when showing average rate of change?
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
The secant line
As many as you like
2nd key - x^2 - graph

40. y=f(cx) What does this formula represent?
Neither
No because you cannot have one domain pointing at two y's or ranges
The single number y=
0<c<1 - horizontal stretching

41. What type of slope do horizontal lines have?
Same
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Up
The first set of components of an ordered pair

42. What type of function would you use to calculate the most advantageous cell phone plan?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Piecewise
Up
F(x+h)-f(x)/h h cannot equal zero

43. What is the formula for the cube root function?
X math 3 graph
F(x)=3 square root x
X = the original sale price and the formula is x - .40x =$276
The opposite coordinates

44. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
A line passing through two distinct points
Line ascending to the right gradually
Parabola - up one and right three

45. 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.
Postiive slope
Inconsitent
Conditional

46. Of the seven of algebra's common graph's how many are neither?
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Square Root
Identity

47. What is the domain and range of a constant function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=+c and f(x)-c
(-infinity - +infinity)
Any set of ordered pairs

48. 4(x-7)=4x-28 is what type of an equation?
Y=10
Identity
2nd key - x^2 - 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.

49. $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?
F(x^1)=f(x^2)
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
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.

50. How would this formula move f(x)=(x+1)^2-3
A V
Parabola - up one and right three
F(x)=IxI
Same