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. standard absolute value - horizontal shift formulas for left and right
F(x)=+c and f(x)-c
(-infinity - +infinity)
F(x+c) and f(x-c)
Horizontal


2. What is the domain of the cube root function?
F(x)=suare root of x
Because the demintor of a quotient can never equal zero
Parabola - up one and right three
(-infinity - +infinity)


3. What is a domain?
F(x)=suare root of x
Approach neg toward x through zero and above positive close to x
Undefined
The first set of components of an ordered pair


4. x=no real numbers is what type of an equation?
(-infinity - +infinity)
Horizontal
Postiive slope
Inconsistant


5. What is an identity function?
Zero slope
The minimum or maximum points
Three odd - cube root - identity - standard cubic
45 degree angle


6. Is an identity function even - odd or neither?
Negative inverse
Odd
(-infinity - +infinity)
The slope of a line containing two points


7. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Equation of a line
F(x+h)-f(x)/h h cannot equal zero
Y=x^2 - graph


8. What are the calculator instructions for absolute value?
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
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^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph


9. 4x+5x=8x is what type of an equation?
No because you cannot have one domain pointing at two y's or ranges
Identity
Parraelle line
Conditional


10. Is an identity function even - odd or neither?
Odd
Set the x and y to zero and get the intercepts and then plot the points
Yes because two x's or domains can point to one y
Horizontal left


11. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Undefined
F(x)=x^3
A line passing through two distinct points


12. x=no real numbers is what type of an equation?
Y=x^2 - graph
Inconsistant
As many as you like
20+.05x=5+.10x x=minutes


13. What is the average rate of change formula?
Perpendicular line
20+.05x=5+.10x x=minutes
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)


14. What is another way of writing the absolute value function?
F(x+c) and f(x-c)
Yes because two x's or domains can point to one y
Odd
Y=IxI


15. What is slope?
Square Root
In a quotient
The second set of components of an ordered pair
A line passing through two distinct points


16. What type of slope do you have when a line falls left to right and m<0?
Negative slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)


17. What does the absolute value function look like?
Square Root
(-infinity - +infinity)
Up
A V


18. What are the calculator instructions for a standard quadratic equation?
C>1 - horizontal shrinking
Down
Y=x^2 - graph
The first set of components of an ordered pair


19. What can never equal zero in the slope formula and why?
Postiive slope
X2-x1 because the demonaitor of a quotient can never equal zero
Conditional
(-infinity - +infinity)


20. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Undefined slope
The opposite coordinates
Mirror image neg quadrant to that of the positive quandrant


21. y=f(cx) What does this formula represent?
Y
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
The slope of a line containing two points


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


23. What is the horizontal line formula?
Down
Y=b
45 degree angle
Parraelle line


24. Two vertical lines side by side are a symbol for what
Neither
Three odd - cube root - identity - standard cubic
Parraelle line
Only one


25. What type of slope do horizontal lines have?
Odd
Same
Negative inverse
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.


26. What are the calculator instructions for absolute value?
Parabola - up one and right three
Horizontal
2nd catalog (zero key -) abs(x) - graph
Horizontal left


27. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Math 4 x - graph
The second set of components of an ordered pair
(-infinity - +infinity)


28. $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?
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
Even
Undefined


29. 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
Identity
A V
Neither


30. What is the domain for an absolute value function?
Y=10
Even
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)


31. f(x) = x^2+3x+5 - what type of formula is this?
F(x)=suare root of x
Function notation
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040


32. How many domains can you have pointing to one range?
Mirror image neg quadrant to that of the positive quandrant
Conditional
As many as you like
Parabola - up one and right three


33. Draw or discuss an increasing function
F(x)=x^3
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
F(x+h)-f(x)/h h cannot equal zero


34. What does the average rate of change formula solve?
In a quotient
F(x)=3 square root x
F(x2)-f(x1) / x2-x1
The slope of a line containing two points


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


36. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
45 degree angle
Horizontal
Inconsitent


37. Is the standard cubic function odd - even or neither?
Negative inverse
Absolute Value - Constant and Standard Quadratic
Odd
F(x+h)-f(x)/h h cannot equal zero


38. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Identity
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph


39. What is a range?
The second set of components of an ordered pair
Cannot be drawn in quizlet
1 -2 -3
Cannot be drawn in quizlet


40. Draw or discuss an increasing function
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
Down
Cannot be drawn in quizlet
Horizontal right


41. Is an absolute value function even - odd or neither?
Even
(-infinity - 0]you[0 - +infinity)
F(x)=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x


42. What are the calculator instructions for the cube root function?
Math 4 x - graph
1 -2 -3
4 -6 -9
The second set of components of an ordered pair


43. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
1 -2 -3
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x+h)-f(x)/h h cannot equal zero


44. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal right
Three odd - cube root - identity - standard cubic
The secant line


45. What is the domain for the standard cubic function?
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
F(x)=suare root of x
When does a graph not define y as a function of x?


46. When is the only time (-infinity - +infinity) is not the domain?
Line ascending to the right gradually
F of g and g of f
The minimum or maximum points
In a quotient


47. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(-infinity - +infinity)
Odd
X = the original sale price and the formula is x - .40x =$276
No because you cannot have one domain pointing at two y's or ranges


48. Is the square root function odd - even or neither?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Neither
The single number y=


49. 4(x-7)=4x+28 is what type of an equation?
Horizontal right
Inconsitent
Identity
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph


50. What are the four steps for finding the inverse of a function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Three odd - cube root - identity - standard cubic
Y= then enter the number then press graph