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Test your basic knowledge 
College Algebra Test
Start Test
Study First
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 reenforces your understanding as you take the test each time.
1. y=f(cx) What does this formula represent?
0<c<1  horizontal stretching
Down
Parabola  up one and right three
(yy1)=m(xx1) and you use it when you have one point or set of coordinates and the slope
2. 4x+5x=8x is what type of an equation?
(infinity  0]you[0  +infinity)
[0 +infinity)
(infinity  +infinity)
Conditional
3. What is the line called that illustrates the straight line between the two points when showing average rate of change?
F(x)=3 square root x
The secant line
As equations
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.
4. Of the seven of algebra's common graph's how many are neither?
C(t) = 20+(.40(t60) 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
Piecewise
Square Root
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
5. f(x) = x^2+3x+5  what type of formula is this?
Y= then enter the number then press graph
Function notation
The single number y=
A V
6. standard absolute value  vertical shift formulas for positve and negative
F(x)=+c and f(x)c
As equations
(infinity  +infinity)
Odd
7. What does the square root function look like on a graph?
Y
X=a
Line ascending to the right gradually
X=a
8. What type of line is an identity function?
(yy1)=m(xx1) and you use it when you have one point or set of coordinates and the 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
Inconsistant
45 degree angle
9. What is slope?
Y=10
Negative slope
A line passing through two distinct points
F(x)=suare root of x
10. x=no real numbers is what type of an equation?
Identity
Negative inverse
Inconsistant
The single number y=
11. What is the formula for an absolute value function?
Inconsistant
Absolute Value  Constant and Standard Quadratic
Inconsitent
F(x)=IxI
12. y^2+x=4 is this a function? Why?
13. In an identity function if f(10)=x than What is y?
Neither
Even
Y=10
Up
14. What is the range of the constant function?
In a quotient
Even
The single number y=
C(t) = 20+(.40(t60) 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
15. What is the domain for a 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
(infinity  +infinity)
Undefined
Y=IxI
16. 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.
[0 +infinity)
Yes  all the domains points to one range
The opposite coordinates
17. What is the formula for slope?
Change in y / change in x = rise / run = y2y1 / x2x1
Y
45 degree angle
Identity
18. x^2+y=4 is this a function? Why?
19. What is the range of the cube root function?
(infinity  +infinity)
X2x1 because the demonaitor of a quotient can never equal zero
(f+g)  (fg)  (fg)  (f/g) all of x
Math 4 x  graph
20. What type of slope do you have when a line falls left to right and m<0?
Because the demintor of a quotient can never equal zero
Negative slope
Horizontal left
Y=x^2  graph
21. x= a real number is what type of equation?
Neither
Change in y / change in x = rise / run = y2y1 / x2x1
Y=10
Conditional
22. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Yes because two x's or domains can point to one y
(infinity  +infinity)
Change in y / change in x = rise / run = y2y1 / x2x1
23. What is the range of the cube root function?
(infinity  +infinity)
The second set of components of an ordered pair
Identity
Yes  all the domains points to one range
24. What are the calculator instructions for the standard cubic 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
X math 3 graph
Parabola
F(x2)f(x1) / x2x1
25. A. $20 +.05 per min B. $5 +.10 per min  What is x and how do you set up the formula?
Absolute Value  Constant and Standard Quadratic
(infinity  +infinity)
20+.05x=5+.10x x=minutes
In a quotient
26. What is the domain for the standard cubic function?
X^2
(infinity  +infinity)
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 math 3 graph
27. What is the formula for the cube root function?
F(x)=3 square root x
Parabola
[0 +infinity)
The second set of components of an ordered pair
28. What does the standard cubic function look like on a graph?
2nd key  x^2  graph
Conditional
Y=b
Mirror image neg quadrant to that of the positive quandrant
29. 4(x7)=4x+28 is what type of an equation?
Inconsitent
As equations
(infinity  +infinity)
Same
30. What is the domain of the cube root function?
F(x)=+c and f(x)c
Set the x and y to zero and get the intercepts and then plot the points
(infinity  +infinity)
45 degree angle
31. What is another way of writing the absolute value function?
Zero slope
1 2 3
Y=IxI
C>1  horizontal shrinking
32. {(1 4)(2 6)(3 9)} what numbers are the domain?
Negative slope
X2x1 because the demonaitor of a quotient can never equal zero
Yes  all the domains points to one range
1 2 3
33. Which direction does f(x)=+c move in standard absolute value formula?
The minimum or maximum points
As equations
Up
In a quotient
34. 4(x7)=4x+28 is what type of an equation?
Perpendicular line
Y=10
Inconsitent
Inconsistant
35. What shape is the standard quadratic function?
X math 3 graph
1 2 3
Zero slope
Parabola
36. What does the absolute value function look like?
A V
0<c<1  horizontal stretching
Conditional
1 2 3
37. 4x+5x=8x is what type of an equation?
Perpendicular line
X2x1 because the demonaitor of a quotient can never equal zero
Conditional
Change in y / change in x = rise / run = y2y1 / x2x1
38. What is the vertex?
The minimum or maximum points
Y=b
F(x)=+c and f(x)c
Odd
39. What type of slope do horizontal lines have?
As equations
When does a graph not define y as a function of x?
The minimum or maximum points
Same
40. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
F(x)=+c and f(x)c
41. What is the formula for the standard cubic function?
Zero slope
F(x)=x^3
Postiive slope
As many as you like
42. y=f(cx)  What does this formula represent?
Square Root
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
C>1  horizontal shrinking
A V
43. Draw or discuss an increasing function
45 degree angle
Cannot be drawn in quizlet
Identity
F(x)=IxI
44. What is the formula for to calculate the difference of a quotient function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Up
F(x+h)f(x)/h h cannot equal zero
Absolute Value  Constant and Standard Quadratic
45. 4(x7)=4x28 is what type of an equation?
Identity
Zero slope
Parabola
F(x)=suare root of x
46. What is the horizontal line formula?
F(x) = x
Y=b
Y=mx+b  b is the y intercept and m is the slope  x y are the coordinates on the graph
As equations
47. What are the calculator instructions for the cube root function?
Y=b
Math 4 x  graph
Y=10
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
48. What type of slope do you have when the line is horizontal and m=0?
X^2
Y=b
Change in y / change in x = rise / run = y2y1 / x2x1
Zero slope
49. What is the formula for an identity function?
X is the hours to repair the boat. $1603532=anwser/63 = x
Parabola
Parraelle line
F(x) = x
50. standard absolute value  horizontal shift formulas for left and right
[0 +infinity)
F(x+c) and f(xc)
The first set of components of an ordered pair
Yes because two x's or domains can point to one y