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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 does the standard cubic function look like on a graph?
Parabola - up one and right three
(-infinity - +infinity)
X math 3 graph
Mirror image neg quadrant to that of the positive quandrant

2. Which direction does f(x)=+c move in standard absolute value formula?
Only one
The opposite coordinates
Y=IxI
Up

3. What is the range for a standard quadratic function?
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

4. What is the standard quadratic function?
Cannot be drawn in quizlet
The single number y=
X^2
Undefined slope

5. What is the vertical line test?
Parabola - up one and right three
No because you cannot have one domain pointing at two y's or ranges
Even
When does a graph not define y as a function of x?

6. How would this formula move f(x)=(x+1)^2-3
Line ascending to the right gradually
The opposite coordinates
Parabola - up one and right three
Neither

7. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
As equations
Odd
1 -2 -3

8. What is the formula for the square root function?
F(x)=suare root of x
F(x)=3 square root x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet

9. What is the slope of a perpendicular line?
X math 3 graph
Negative inverse
X math 3 graph
Square Root

10. What are the four steps for finding the inverse of a function?
F(x)=3 square root x
In a quotient
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

11. What is the line called that illustrates the straight line between the two points when showing average rate of change?
45 degree angle
Yes - all the domains points to one range
The secant line
Negative slope

12. What does the average rate of change formula solve?
The slope of a line containing two points
X^2
Y=x^2 - graph
Yes because two x's or domains can point to one y

13. What type of function would you use to calculate the most advantageous cell phone plan?
Y= then enter the number then press graph
As many as you like
Piecewise
Yes - all the domains points to one range

14. What are the steps for solving a word problem?
X is the hours to repair the boat. $1603-532=anwser/63 = 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
As many as you like
Parabola

15. What is a constant function?
The secant line
Up
Even
F(x^1)=f(x^2)

16. Draw or discuss a constant function
F(x)=x^3
The single number y=
Cannot be drawn in quizlet
Odd

17. What is the line called that illustrates the straight line between the two points when showing average rate of change?
C>1 - horizontal shrinking
Three odd - cube root - identity - standard cubic
The secant line
Even

18. What are the steps for solving a word problem?
Line ascending to the right gradually
Parraelle 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
Equation of a line

19. What is the formula for slope?
As equations
Yes because two x's or domains can point to one y
Change in y / change in x = rise / run = y2-y1 / x2-x1
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

20. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Odd
Undefined slope
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
4 -6 -9

21. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsistant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Perpendicular line

22. What is the slope intercept formula? Define all the variables.
Identity
Odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined

23. How many ranges can you have for each domain?
Only one
Inconsitent
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

24. What does linear equation mean?
Equation of a line
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Only one

25. How many domains can you have pointing to one range?
A V
4 -6 -9
As many as you like
Negative slope

26. What is the range for a standard quadratic function?
0<c<1 - horizontal stretching
As equations
When does a graph not define y as a function of x?
(-infinity - 0]you[0 - +infinity)

27. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Only one
X = the original sale price and the formula is x - .40x =$276
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=

28. 4(x-7)=4x-28 is what type of an equation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Because the demintor of a quotient can never equal zero
Identity
The opposite coordinates

29. What shape is the standard quadratic function?
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
Parabola
(-infinity - +infinity)
Even

30. What is the formula for the square root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=suare root of x
Undefined slope
Yes - all the domains points to one range

31. How many ranges can you have for each domain?
Only one
Function notation
Cannot be drawn in quizlet
Horizontal

32. 4(x-7)=4x+28 is what type of an equation?
Y=10
Set the x and y to zero and get the intercepts and then plot the points
Inconsitent
Change in y / change in x = rise / run = y2-y1 / x2-x1

33. How are functions normally written?
Y
As equations
[0 -+infinity)
4 -6 -9

34. 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
0<c<1 - horizontal stretching
Horizontal
Parabola - up one and right three

35. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Undefined
Piecewise
Horizontal right

36. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
A V
Cannot be drawn in quizlet
Undefined

37. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes

38. What is another way of writing the absolute value function?
Y=IxI
(-infinity - +infinity)
Even
2nd key - x^2 - graph

39. A flat line underlining one vertical line is a symbol for...
Function notation
F(x^1)=f(x^2)
Any set of ordered pairs
Perpendicular line

40. Is the standard cubic function odd - even or neither?
F(x)=suare root of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Identity
Odd

41. What are the four steps for solving a linear equation?
45 degree angle
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.
X is the hours to repair the boat. $1603-532=anwser/63 = x
A line passing through two distinct points

42. Draw or discuss a decreasing function
The secant line
Cannot be drawn in quizlet
Y=10
C>1 - horizontal shrinking

43. Is an absolute value function even - odd or neither?
Even
A V
Equation of a 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.

44. What can we substitute for f(x)?
Line ascending to the right gradually
As many as you like
Y
F(x2)-f(x1) / x2-x1

45. 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
The single number y=
Yes - all the domains points to one range
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

46. What type of slope do vertical lines have?
Undefined
M
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Identity

47. What equation does every line have? Discuss the variables.
F(x)=x^3
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-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal left

48. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes - all the domains points to one range

49. What does the graph of the cube root function look like on the graph?
Square Root
Yes - all the domains points to one range
Approach neg toward x through zero and above positive close to x
In a quotient

50. What is the domain and range of a constant function?
Identity
Y=x - identity function
Equation of a line
(-infinity - +infinity)