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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. How do you calculate a constant function in your calculator?
Parraelle line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y= then enter the number then press graph
F(x)=x^3
2. What type of slope do you have when a line falls left to right and m<0?
Horizontal
X = the original sale price and the formula is x - .40x =$276
Negative slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
3. A flat line underlining one vertical line is a symbol for...
Perpendicular line
C>1 - horizontal shrinking
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
4. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Neither
Square Root
Conditional
5. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Neither
Horizontal
(-infinity - +infinity)
6. x=all real numbers is what type of an equation?
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
[0 -+infinity)
Identity
X^2
7. What is slope?
A line passing through two distinct points
C>1 - horizontal shrinking
Conditional
A V
8. (1 -5)(2 -5)(3 -5)(4 -5) - is this a 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.
A V
When does a graph not define y as a function of x?
Yes - all the domains points to one range
9. What is the slope of a perpendicular line?
Function notation
Negative inverse
X is the hours to repair the boat. $1603-532=anwser/63 = x
Neither
10. Draw or discuss an increasing function
F(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
The single number y=
Zero slope
11. x^2+y=4 is this a function? Why?
12. What is the formula for an absolute value function?
F(x^1)=f(x^2)
F(x)=IxI
Identity
F(x) = x
13. What is the slope intercept formula? Define all the variables.
Odd
The minimum or maximum points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Zero slope
14. What does linear equation mean?
Equation of a line
Y=IxI
F(x) = x
The opposite coordinates
15. What type of slope do vertical lines have?
Undefined
The minimum or maximum points
4 -6 -9
F(x)=IxI
16. What is the domain of the cube root function?
M
The first set of components of an ordered pair
The secant line
(-infinity - +infinity)
17. What is the range of a square root 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.
F(x^1)=f(x^2)
[0 -+infinity)
The second set of components of an ordered pair
18. What type of line is a constant function?
4 -6 -9
Line ascending to the right gradually
Horizontal
(-infinity - +infinity)
19. What type of slope do vertical lines have?
Square Root
Absolute Value - Constant and Standard Quadratic
F(x)=+c and f(x)-c
Undefined
20. How would this formula move f(x)=(x+1)^2-3
Horizontal
Neither
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.
Parabola - up one and right three
21. Is an absolute value function even - odd or neither?
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.
Even
(-infinity - +infinity)
45 degree angle
22. A flat line underlining one vertical line is a symbol for...
Because the demintor of a quotient can never equal zero
Perpendicular line
Set the x and y to zero and get the intercepts and then plot the points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
23. What are the steps for solving a word problem?
F(x2)-f(x1) / x2-x1
Perpendicular line
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
24. What is the standard quadratic function?
A V
Negative inverse
X^2
Horizontal left
25. What are the calculator instructions for absolute value?
Y=b
2nd catalog (zero key -) abs(x) - graph
Inconsitent
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
26. Is the square root function odd - even or neither?
Zero slope
Neither
(-infinity - +infinity)
F(x)=+c and f(x)-c
27. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
F(x+h)-f(x)/h h cannot equal zero
Postiive slope
The slope of a line containing two points
28. What are the algebra of functions?
Even
The slope of a line containing two points
(f+g) - (f-g) - (fg) - (f/g) all of x
X is the hours to repair the boat. $1603-532=anwser/63 = x
29. y^2+x=4 is this a function? Why?
30. 4(x-7)=4x+28 is what type of an equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The secant line
Set the x and y to zero and get the intercepts and then plot the points
Inconsitent
31. Which direction does f(x+c) move
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Horizontal left
F of g and g of f
32. What are the algebra of functions?
Zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x
33. What is the range for the standard cubic function?
(-infinity - +infinity)
2nd key - x^2 - graph
The single number y=
Even
34. What are the four steps for finding the inverse of a function?
The first set of components of an ordered pair
Undefined
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
No because you cannot have one domain pointing at two y's or ranges
35. What shape is the standard quadratic function?
Zero slope
Parabola
45 degree angle
X=a
36. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Even
Up
Math 4 x - graph
37. 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.
Up
F(x)=suare root of x
Because the demintor of a quotient can never equal zero
38. Which direction does f(x+c) move
Horizontal left
Horizontal right
(-infinity - +infinity)
[0 -+infinity)
39. How many domains can you have pointing to one range?
As many as you like
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
Y=x^2 - graph
40. Is a standard quadratic function even - odd or neither?
Even
4 -6 -9
Piecewise
F(x+c) and f(x-c)
41. What is the vertex?
Y
In a quotient
The opposite coordinates
The minimum or maximum points
42. What is the horizontal line formula?
In a quotient
Any set of ordered pairs
Y=b
Same
43. What is the domain for an absolute value function?
(-infinity - +infinity)
Horizontal left
F(x+h)-f(x)/h h cannot equal zero
X = the original sale price and the formula is x - .40x =$276
44. What is a range?
Odd
The second set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph
2nd key - x^2 - graph
45. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Function notation
Parabola - up one and right three
Piecewise
X is the hours to repair the boat. $1603-532=anwser/63 = x
46. How are functions normally written?
As equations
F(x)=3 square root x
X = the original sale price and the formula is x - .40x =$276
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
47. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Same
F of g and g of f
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.
48. What type of slope do horizontal lines have?
Postiive slope
Same
The secant line
(-infinity - 0]you[0 - +infinity)
49. What is the vertical line formula?
Only one
Cannot be drawn in quizlet
X=a
Up
50. Two vertical lines side by side are a symbol for what
Line ascending to the right gradually
As equations
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Parraelle line