College Algebra Test

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 domain of a square root function?
(-infinity - +infinity)
[0 -+infinity)
Undefined
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.


2. What type of line is a constant function?
M
Horizontal
Only one
F(x+c) and f(x-c)


3. What does the absolute value function look like?
Conditional
Horizontal
The secant line
A V


4. What are the calculator instructions for the cube root function?
Absolute Value - Constant and Standard Quadratic
Math 4 x - graph
Inconsitent
F(x)=IxI


5. standard absolute value - horizontal shift formulas for left and right
F(x) = x
Inconsitent
F(x+c) and f(x-c)
1 -2 -3


6. y=f(cx) What does this formula represent?
The secant line
0<c<1 - horizontal stretching
Yes because two x's or domains can point to one y
Y=b


7. What is a domain?
Postiive slope
Conditional
(-infinity - +infinity)
The first set of components of an ordered pair


8. $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?
Same
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 first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6000
Identity


9. What points do you use to plot the inverse on a graph?
The opposite coordinates
Y=IxI
Negative inverse
Square Root


10. What is the domain for a standard quadratic function?
Parabola
Function notation
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero


11. What type of slope do horizontal lines have?
F(x)=3 square root x
Inconsistant
X=a
Same


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


13. What is the range of an identity function?
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
Cannot be drawn in quizlet
Function notation
(-infinity - +infinity)


14. What is an identity function?
45 degree angle
Down
Inconsistant
Parabola


15. What equation does every line have? Discuss the variables.
Horizontal right
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.
Negative inverse
X^2


16. What is the range for a standard quadratic function?
Horizontal left
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
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]you[0 - +infinity)


17. What is the domain of the cube root function?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x^1)=f(x^2)


18. A flat line underlining one vertical line is a symbol for...
Perpendicular line
(-infinity - +infinity)
Identity
X is the hours to repair the boat. $1603-532=anwser/63 = x


19. y=f(cx) - What does this formula represent?
2nd catalog (zero key -) abs(x) - graph
C>1 - horizontal shrinking
As many as you like
Odd


20. What are two examples of composit functions?
Conditional
Inconsistant
F of g and g of f
Postiive slope


21. What is a constant function?
Square Root
X^2
The single number y=
F(x^1)=f(x^2)


22. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Only one
Cannot be drawn in quizlet
In a quotient


23. Of the seven of algebra's common graph's how many are even?
The second set of components of an ordered pair
In a quotient
Absolute Value - Constant and Standard Quadratic
Down


24. What direction does f(x)-c move in standard absolute value formula?
Down
As equations
The minimum or maximum points
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


25. Of the seven of algebra's common graph's how many are neither?
4 -6 -9
Even
The first set of components of an ordered pair
Square Root


26. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
[0 -+infinity)
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Perpendicular line


27. 4(x-7)=4x+28 is what type of an equation?
The second set of components of an ordered pair
Inconsitent
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges


28. Which direction does f(x+c) move
X is the hours to repair the boat. $1603-532=anwser/63 = x
Any set of ordered pairs
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
Horizontal left


29. Is an absolute value function even - odd or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
Identity
The second set of components of an ordered pair


30. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
Undefined slope
Negative inverse
The first set of components of an ordered pair


31. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
Postiive slope
Y
Absolute Value - Constant and Standard Quadratic


32. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
F of g and g of f
Cannot be drawn in quizlet
F(x)=suare root of x


33. What is the formula for the cube root function?
Perpendicular line
F(x)=3 square root x
F(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope


34. Which direction does f(x)=+c move in standard absolute value formula?
As many as you like
Up
Perpendicular line
Down


35. What is the average rate of change formula?
Up
When does a graph not define y as a function of x?
F(x2)-f(x1) / x2-x1
Y= then enter the number then press graph


36. What is a function?
0<c<1 - horizontal stretching
Because the demintor of a quotient can never equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=x^3


37. What is the standard quadratic function?
X^2
Because the demintor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
Undefined


38. When is the only time (-infinity - +infinity) is not the domain?
A V
Inconsitent
In a quotient
4 -6 -9


39. What is the domain for an absolute value function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
Even
Down


40. Is a constant function even - odd or neither?
Even
As equations
Three odd - cube root - identity - standard cubic
[0 -+infinity)


41. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The first set of components of an ordered pair
Line ascending to the right gradually
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 line passing through two distinct points


42. What is the formula for slope?
Even
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
Change in y / change in x = rise / run = y2-y1 / x2-x1


43. What is slope?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Math 4 x - graph
Even
A line passing through two distinct points


44. What is the range for an absolute value function?
Y=b
X = the original sale price and the formula is x - .40x =$276
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching


45. 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?
F(x)=suare root of x
(-infinity - +infinity)
F(x)=3 square root x
X is the hours to repair the boat. $1603-532=anwser/63 = x


46. What is the formula for the cube root function?
Cannot be drawn in quizlet
Postiive slope
Cannot be drawn in quizlet
F(x)=3 square root x


47. Is the square root function odd - even or neither?
As equations
Neither
X=a
(-infinity - +infinity)


48. What does the average rate of change formula solve?
[0 -+infinity)
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The slope of a line containing two points


49. Is a constant function even - odd or neither?
Even
M
(-infinity - 0]you[0 - +infinity)
Negative inverse


50. What type of slope do horizontal lines have?
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
Same
M