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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. 4(x-7)=4x-28 is what type of an equation?
Identity
4 -6 -9
The slope of a line containing two points
4 -6 -9

2. What is a constant function?
[0 -+infinity)
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x^1)=f(x^2)

3. What is another way of writing the absolute value function?
Parabola
Negative inverse
A V
Y=IxI

4. How do you calculate a constant function in your calculator?
Horizontal
Parabola
In a quotient
Y= then enter the number then press graph

5. What is the range of an identity function?
Equation of a line
(-infinity - +infinity)
The slope of a line containing two points
X is the hours to repair the boat. $1603-532=anwser/63 = x

6. y=f(cx) What does this formula represent?
Parabola - up one and right three
F(x)=3 square root x
Neither
0<c<1 - horizontal stretching

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

8. Is an identity function even - odd or neither?
Odd
Cannot be drawn in quizlet
Negative slope
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.

9. What does the average rate of change formula solve?
X math 3 graph
The slope of a line containing two points
The first set of components of an ordered pair
Function notation

10. Of the seven of algebra's common graph's how many are neither?
F(x)=3 square root x
F(x+h)-f(x)/h h cannot equal zero
Y=IxI
Square Root

11. How many domains can you have pointing to one range?
(-infinity - +infinity)
The secant line
Square Root
As many as you like

12. 4x+5x=8x is what type of an equation?
Horizontal
F(x)=IxI
X = the original sale price and the formula is x - .40x =$276
Conditional

13. 4(x-7)=4x+28 is what type of an equation?
(-infinity - 0]you[0 - +infinity)
Inconsitent
Perpendicular line
[0 -+infinity)

14. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Parraelle line
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
X2-x1 because the demonaitor of a quotient can never equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

15. What are the calculator instructions for a square root function?
Set the x and y to zero and get the intercepts and then plot the points
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.
Undefined slope
2nd key - x^2 - graph

16. What type of slope do you have when the line is horizontal and m=0?
Equation of a line
Yes because two x's or domains can point to one y
A line passing through two distinct points
Zero slope

17. What is the range for an absolute value function?
Horizontal left
Inconsistant
(-infinity - 0]you[0 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

18. What is the formula in both horizontal stretching and horizontal shrinking?
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
Yes - all the domains points to one range
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Math 4 x - graph

19. What is the domain of an identity function?
X^2
45 degree angle
(-infinity - +infinity)
Parraelle line

20. What is the formula for the cube root function?
F(x)=3 square root x
Conditional
Parabola
F(x+c) and f(x-c)

21. What equation does every line have? Discuss the variables.
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
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.
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(x2)-f(x1) / x2-x1

22. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Set the x and y to zero and get the intercepts and then plot the points
Identity
[0 -+infinity)

23. What is the domain and range of a constant function?
(-infinity - +infinity)
[0 -+infinity)
F(x)=x^3
Parabola - up one and right three

24. What is the average rate of change formula?
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero
F(x)=IxI
F(x2)-f(x1) / x2-x1

25. Draw or discuss an increasing function
F(x^1)=f(x^2)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
When does a graph not define y as a function of x?
Cannot be drawn in quizlet

26. What is the domain and range of a constant function?
Inconsistant
0<c<1 - horizontal stretching
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

27. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Undefined
X = the original sale price and the formula is x - .40x =$276
Yes - all the domains points to one range
Line ascending to the right gradually

28. What type of slope do horizontal lines have?
Same
Y=10
Approach neg toward x through zero and above positive close to x
C>1 - horizontal shrinking

29. What is a range?
The second set of components of an ordered pair
Y=10
Cannot be drawn in quizlet
The minimum or maximum points

30. What type of function would you use to calculate the most advantageous cell phone plan?
The first set of components of an ordered pair
Piecewise
Even
Horizontal

31. What is the range for a standard quadratic function?
Horizontal right
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)

32. What is slope?
A line passing through two distinct points
Change in y / change in x = rise / run = y2-y1 / x2-x1
The first set of components of an ordered pair
Horizontal

33. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Three odd - cube root - identity - standard cubic
Inconsitent
F(x) = x

34. Which direction does f(x)=+c move in standard absolute value formula?
Up
Perpendicular line
When does a graph not define y as a function of x?
Math 4 x - graph

35. What are the calculator instructions for the standard cubic function?
X math 3 graph
F(x)=IxI
The second set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x

36. 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.
Cannot be drawn in quizlet
Neither
Negative slope

37. Which direction does f(x+c) move
Horizontal left
Down
Parabola - up one and right three
F(x)=3 square root x

38. What is the letter used to represent slope?
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x
F(x)=x^3
M

39. What is the horizontal line formula?
Parabola - up one and right three
Negative slope
Y=b
Y=10

40. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
X math 3 graph
Yes - all the domains points to one range

41. What is the slope of a perpendicular line?
Negative inverse
Identity
Odd
45 degree angle

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

43. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
(-infinity - +infinity)
Neither
Conditional

44. What is the domain of a square root function?
Conditional
[0 -+infinity)
The secant line
As equations

45. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Y= then enter the number then press graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Down

46. x= a real number is what type of equation?
No because you cannot have one domain pointing at two y's or ranges
Identity
Horizontal
Conditional

47. What is the horizontal line formula?
Y=b
Y
45 degree angle
Y=IxI

48. What is the formula for the standard cubic function?
Y=x^2 - graph
F(x)=x^3
2nd catalog (zero key -) abs(x) - graph
Absolute Value - Constant and Standard Quadratic

49. What is the vertical line test?
(-infinity - +infinity)
In a quotient
When does a graph not define y as a function of x?
Set the x and y to zero and get the intercepts and then plot the points

50. f(x) = x^2+3x+5 - what type of formula is this?
2nd catalog (zero key -) abs(x) - graph
Y=x^2 - graph
Zero slope
Function notation