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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 points do you use to plot the inverse on a graph?
The first set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
The opposite coordinates
F(x+h)-f(x)/h h cannot equal zero

2. y=f(cx) - What does this formula represent?
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
Parraelle line
Postiive slope
C>1 - horizontal shrinking

3. Which direction does f(x)=+c move in standard absolute value formula?
0<c<1 - horizontal stretching
(-infinity - +infinity)
45 degree angle
Up

4. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
Equation of a line
Equation of a line

5. x= a real number is what type of equation?
Equation of a line
0<c<1 - horizontal stretching
Conditional
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.

6. Is an identity function even - odd or neither?
2nd key - x^2 - graph
Y=x - identity function
Y= then enter the number then press graph
Odd

7. What is another way of writing the absolute value function?
Mirror image neg quadrant to that of the positive quandrant
Y=IxI
Negative slope
Equation of a line

8. standard absolute value - vertical shift formulas for positve and negative
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
When does a graph not define y as a function of x?
F(x)=+c and f(x)-c
Even

9. How would this formula move f(x)=(x+1)^2-3
Identity
Even
Parabola - up one and right three
45 degree angle

10. What is the domain of a square root function?
F(x^1)=f(x^2)
(-infinity - +infinity)
F(x) = x
[0 -+infinity)

11. How do you graph Ax+By+C=0?
Parraelle line
Even
Any set of ordered pairs
Set the x and y to zero and get the intercepts and then plot the points

12. What is the horizontal line formula?
Y=b
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
Three odd - cube root - identity - standard cubic
[0 -+infinity)

13. What is the domain for the standard cubic function?
(-infinity - +infinity)
Negative slope
A line passing through two distinct points
C>1 - horizontal shrinking

14. What is the standard quadratic function?
Undefined slope
Conditional
X^2
X math 3 graph

15. (1 -5)(2 -5)(3 -5)(4 -5) - is this a 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
X^2
Yes - all the domains points to one range
Perpendicular line

16. What can never equal zero in the slope formula and why?
45 degree angle
Equation of a line
X=a
X2-x1 because the demonaitor of a quotient can never equal zero

17. What is slope?
M
A line passing through two distinct points
Parraelle line
Negative inverse

18. What direction does f(x)-c move in standard absolute value formula?
Perpendicular line
X=a
Down
F(x)=3 square root x

19. f(x) = x^2+3x+5 - what type of formula is this?
The secant line
X is the hours to repair the boat. $1603-532=anwser/63 = x
Function notation
F(x+c) and f(x-c)

20. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Inconsistant
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276

21. y=f(cx) - What does this formula represent?
Yes because two x's or domains can point to one y
C>1 - horizontal shrinking
Inconsistant
The first set of components of an ordered pair

22. What is the formula for an identity function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x) = x

23. What is an identity function?
Postiive 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.
45 degree angle
Y=b

24. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
X^2
Parabola
F of g and g of f

25. 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.
(-infinity - +infinity)
Conditional
F(x+c) and f(x-c)

26. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Y=IxI
Y=b
(-infinity - +infinity)

27. What is the formula in both horizontal stretching and horizontal shrinking?
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.
Because the demintor of a quotient can never equal zero
Equation of a line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

28. Is an absolute value function even - odd or neither?
Even
The secant line
Three odd - cube root - identity - standard cubic
A line passing through two distinct points

29. What does linear equation mean?
F(x)=x^3
Equation of a line
Even
The minimum or maximum points

30. Draw or discuss a decreasing function
M
The secant line
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)

31. What does the square root function look like on a graph?
The second set of components of an ordered pair
Line ascending to the right gradually
(-infinity - +infinity)
X^2

32. What is the slope of a perpendicular line?
Parabola - up one and right three
Negative inverse
Any set of ordered pairs
Same

33. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y
C>1 - horizontal shrinking
Perpendicular line
The secant line

34. What are the steps for solving a word problem?
F(x)=suare root of x
Inconsistant
Y= then enter the number then press graph
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

35. How many ranges can you have for each domain?
Even
45 degree angle
Only one
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

36. What are the four steps for finding the inverse of 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
Conditional
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

37. Draw or discuss a constant function
Cannot be drawn in quizlet
A V
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=10

38. Draw or discuss a decreasing function
The opposite coordinates
Odd
Cannot be drawn in quizlet
(-infinity - +infinity)

39. Is an absolute value function even - odd or neither?
Even
Horizontal right
The minimum or maximum points
Y= then enter the number then press graph

40. What is the letter used to represent slope?
F(x^1)=f(x^2)
F(x)=suare root of x
Absolute Value - Constant and Standard Quadratic
M

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

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42. What are two examples of composit functions?
F of g and g of f
Undefined slope
Math 4 x - graph
Horizontal

43. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
C>1 - horizontal shrinking

44. What is the formula for an absolute value function?
F(x)=IxI
No because you cannot have one domain pointing at two y's or ranges
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Undefined slope

45. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Because the demintor of a quotient can never equal zero
F(x)=IxI
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

46. x= a real number is what type of equation?
Conditional
Horizontal left
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Up

47. Is the square root function odd - even or neither?
Piecewise
Neither
X=a
Conditional

48. What shape is the standard quadratic function?
4 -6 -9
(-infinity - 0]you[0 - +infinity)
Parabola
X2-x1 because the demonaitor of a quotient can never equal zero

49. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Cannot be drawn in quizlet
Y= then enter the number then press graph
(-infinity - +infinity)

50. What type of slope do vertical lines have?
In a quotient
As equations
1 -2 -3
Undefined