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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. $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?
0<c<1 - horizontal stretching
Postiive slope
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
F(x)=x^3

2. What are the steps for solving a word problem?
Y
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
Cannot be drawn in quizlet

3. What is the range for an absolute value function?
Because the demintor of a quotient can never equal zero
The first set of components of an ordered pair
(-infinity - 0]you[0 - +infinity)
X^2

4. What is the formula in both horizontal stretching and horizontal shrinking?
The minimum or maximum points
Line ascending to the right gradually
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=+c and f(x)-c

5. What is the average rate of change formula?
Negative inverse
Piecewise
Line ascending to the right gradually
F(x2)-f(x1) / x2-x1

6. What are the calculator instructions for the cube root function?
0<c<1 - horizontal stretching
Math 4 x - graph
2nd key - x^2 - graph
1 -2 -3

7. How many ranges can you have for each domain?
F(x)=x^3
When does a graph not define y as a function of x?
Only one
F(x)=suare root of x

8. What does the graph of the cube root function look like on the graph?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Y=x - identity function
Approach neg toward x through zero and above positive close to x

9. Why can h not equal zero in the difference of a quotient function formula?
F(x)=+c and f(x)-c
Because the demintor of a quotient can never equal zero
F(x+c) and f(x-c)
Undefined slope

10. f(x) = x^2+3x+5 - what type of formula is this?
Y=x^2 - graph
When does a graph not define y as a function of x?
Function notation
45 degree angle

11. Draw or discuss a constant function
Cannot be drawn in quizlet
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=x^3

12. What shape is the standard quadratic function?
X math 3 graph
Parabola
A V
Y=x^2 - graph

13. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
2nd catalog (zero key -) abs(x) - graph
20+.05x=5+.10x x=minutes
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Same

14. What is the vertical line formula?
Y=x - identity function
X=a
Odd
(-infinity - +infinity)

15. 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?
Odd
X is the hours to repair the boat. $1603-532=anwser/63 = x
In a quotient
F(x^1)=f(x^2)

16. 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
As many as you like
(-infinity - +infinity)
Up

17. What are the calculator instructions for a standard quadratic equation?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x2)-f(x1) / x2-x1
Y=x^2 - graph
Odd

18. What are the calculator instructions for absolute value?
Yes because two x's or domains can point to one y
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

19. What is a domain?
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
Cannot be drawn in quizlet
Piecewise
The first set of components of an ordered pair

20. What does linear equation mean?
Equation of a line
The secant line
Odd
45 degree angle

21. What is the domain of a square root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Piecewise
[0 -+infinity)
F(x)=+c and f(x)-c

22. f(x) = x^2+3x+5 - what type of formula is this?
The second set of components of an ordered pair
Y
Any set of ordered pairs
Function notation

23. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Math 4 x - graph
X = the original sale price and the formula is x - .40x =$276
Parabola - up one and right three
Horizontal left

24. 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
Parraelle line
(-infinity - +infinity)
(-infinity - +infinity)

25. Is an identity function even - odd or neither?
Odd
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
Even

26. What is the domain for the standard cubic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=x^3
As equations
(-infinity - +infinity)

27. What is the vertex?
Only one
Parraelle line
Set the x and y to zero and get the intercepts and then plot the points
The minimum or maximum points

28. What are the four steps for solving a linear equation?
Negative inverse
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.
Approach neg toward x through zero and above positive close to x
[0 -+infinity)

29. In an identity function if f(10)=x than What is y?
Identity
Y=10
Function notation
The opposite coordinates

30. Is the standard cubic function odd - even or neither?
F(x) = x
Odd
Undefined
X math 3 graph

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

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32. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Y=10
Negative inverse
(-infinity - +infinity)

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

34. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
0<c<1 - horizontal stretching

35. What type of function would you use to calculate the most advantageous cell phone plan?
Y
4 -6 -9
F(x)=x^3
Piecewise

36. What can never equal zero in the slope formula and why?
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

37. How are functions normally written?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
F(x+h)-f(x)/h h cannot equal zero
As equations

38. What are the steps for solving a word problem?
F(x) = x
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
Conditional
X is the hours to repair the boat. $1603-532=anwser/63 = x

39. What is an identity function?
Odd
45 degree angle
Y= then enter the number then press graph
F(x^1)=f(x^2)

40. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Mirror image neg quadrant to that of the positive quandrant
The secant line
F(x)=+c and f(x)-c
The slope of a line containing two points

41. How do you calculate a constant function in your calculator?
Negative inverse
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph
Horizontal

42. x= a real number is what type of equation?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Conditional
Equation of a line

43. What type of slope do you have when m=? and the line is vertical?
Zero slope
A V
Undefined slope
The opposite coordinates

44. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
The opposite coordinates
Square Root
Only one

45. When is the only time (-infinity - +infinity) is not the domain?
Down
In a quotient
Conditional
X=a

46. What does the graph of the cube root function look like on the graph?
Y=b
4 -6 -9
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet

47. What is the range for a standard quadratic function?
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.
Square Root
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)

48. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Inconsistant
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.
F(x)=+c and f(x)-c
Yes - all the domains points to one range

49. What is another way to write f(x)=x - what type of function is this?
Negative inverse
Line ascending to the right gradually
Y=x - identity function
Inconsitent

50. What type of line is an identity function?
45 degree angle
Same
(-infinity - +infinity)
(-infinity - +infinity)