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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 are the four steps for solving a linear equation?
Y=b
As equations
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.
45 degree angle

2. What is the formula for to calculate the difference of a quotient function?
No because you cannot have one domain pointing at two y's or ranges
Horizontal
A V
F(x+h)-f(x)/h h cannot equal zero

3. What is another way to write f(x)=x - what type of function is this?
45 degree angle
Undefined slope
(-infinity - 0]you[0 - +infinity)
Y=x - identity function

4. What type of line is a constant function?
Horizontal
Inconsistant
The second set of components of an ordered pair
Math 4 x - graph

5. What is the slope of a perpendicular line?
Only one
(-infinity - +infinity)
Math 4 x - graph
Negative inverse

6. What is the domain of the cube root function?
Identity
Parabola
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

7. How are functions normally written?
Y=IxI
X math 3 graph
As equations
(-infinity - +infinity)

8. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Change in y / change in x = rise / run = y2-y1 / x2-x1
F of g and g of f
The opposite coordinates

9. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
Undefined slope
Parabola - up one and right three
The slope of a line containing two points

10. What is the horizontal line formula?
Identity
Y=b
F(x^1)=f(x^2)
Conditional

11. What shape is the standard quadratic function?
Parabola
F(x)=3 square root x
Mirror image neg quadrant to that of the positive quandrant
C>1 - horizontal shrinking

12. What are the algebra of functions?
Odd
Even
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

13. Is a standard quadratic function even - odd or neither?
Even
The second set of components of an ordered pair
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

14. What is the formula for to calculate the difference of a quotient function?
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points
A V
F(x+h)-f(x)/h h cannot equal zero

15. 4(x-7)=4x+28 is what type of an equation?
Even
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.
Inconsitent
F(x)=3 square root x

16. What is the range of an identity function?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Y=b

17. What is a relation?
X2-x1 because the demonaitor of a quotient can never equal zero
Any set of ordered pairs
Line ascending to the right gradually
(-infinity - 0]you[0 - +infinity)

18. What is the formula for slope?
(-infinity - +infinity)
A V
Change in y / change in x = rise / run = y2-y1 / x2-x1
Absolute Value - Constant and Standard Quadratic

19. What is the formula for the standard cubic function?
Any set of ordered pairs
2nd catalog (zero key -) abs(x) - graph
F(x)=x^3
Cannot be drawn in quizlet

20. What is a constant function?
F(x^1)=f(x^2)
Horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.

21. What is the range for the standard cubic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=IxI
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

22. x= a real number is what type of equation?
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle
The slope of a line containing two points

23. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Down
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

24. x=no real numbers is what type of an equation?
(-infinity - +infinity)
Inconsistant
Even
Y

25. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points
Yes - all the domains points to one range
Up

26. What is the vertical line test?
Same
When does a graph not define y as a function of x?
F(x)=+c and f(x)-c
Horizontal

27. Of the seven of algebra's common graph's how many are even?
0<c<1 - horizontal stretching
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.
Absolute Value - Constant and Standard Quadratic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

28. Which direction does f(x+c) move
F(x)=x^3
When does a graph not define y as a function of x?
Horizontal left
(-infinity - 0]you[0 - +infinity)

29. What is another way of writing the absolute value function?
X = the original sale price and the formula is x - .40x =$276
Y=IxI
F(x)=IxI
(-infinity - +infinity)

30. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X is the hours to repair the boat. $1603-532=anwser/63 = x
X = the original sale price and the formula is x - .40x =$276
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.

31. x=all real numbers is what type of an equation?
Identity
Horizontal right
(-infinity - +infinity)
Only one

32. What is the slope intercept formula? Define all the variables.
Line ascending to the right gradually
The opposite coordinates
(-infinity - 0]you[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

33. 4(x-7)=4x-28 is what type of an equation?
Approach neg toward x through zero and above positive close to x
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
Even

34. f(x) = x^2+3x+5 - what type of formula is this?
Math 4 x - graph
As many as you like
Function notation
F(x) = x

35. What can never equal zero in the slope formula and why?
F(x2)-f(x1) / x2-x1
F(x^1)=f(x^2)
In a quotient
X2-x1 because the demonaitor of a quotient can never equal zero

36. Draw or discuss an increasing function
Mirror image neg quadrant to that of the positive quandrant
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
2nd key - x^2 - graph

37. Of the seven of algebra's common graph's how many are neither?
Down
Because the demintor of a quotient can never equal zero
Square Root
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. Is a constant function even - odd or neither?
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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.
Horizontal

39. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=x^2 - graph
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
Yes - all the domains points to one range
Conditional

40. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Yes - all the domains points to one range
As many as you like
F(x)=3 square root x
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

41. (1 -5)(2 -5)(3 -5)(4 -5) - is this a 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.
Odd
Yes - all the domains points to one range
Y=10

42. What is the line called that illustrates the straight line between the two points when showing average rate of change?
A line passing through two distinct points
The secant line
Parraelle line
Undefined slope

43. What is the domain for the standard cubic function?
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
Undefined slope
(-infinity - +infinity)

44. What does the absolute value function look like?
Odd
Identity
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A V

45. What is the letter used to represent slope?
M
[0 -+infinity)
Odd
As many as you like

46. Is an absolute value function even - odd or neither?
F(x) = x
Even
X = the original sale price and the formula is x - .40x =$276
Horizontal

47. What is the range of a square root function?
[0 -+infinity)
F(x)=3 square root x
(-infinity - +infinity)
Y

48. In an identity function if f(10)=x than What is y?
The opposite coordinates
Y=x - identity function
Inconsitent
Y=10

49. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(-infinity - +infinity)
Even
Even
X = the original sale price and the formula is x - .40x =$276

50. $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?
(-infinity - +infinity)
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
45 degree angle
1 -2 -3