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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 re-enforces 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
(y-y1)=m(x-x1) 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(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
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?
(y-y1)=m(x-x1) 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(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
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 = y2-y1 / x2-x1
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)
X2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (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 = y2-y1 / x2-x1
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 = y2-y1 / x2-x1
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) / x2-x1
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(x-7)=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
X2-x1 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(x-7)=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
X2-x1 because the demonaitor of a quotient can never equal zero
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
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(x-7)=4x-28 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 = y2-y1 / x2-x1
Zero slope
49. What is the formula for an identity function?
X is the hours to repair the boat. $1603-532=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(x-c)
The first set of components of an ordered pair
Yes because two x's or domains can point to one y