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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. f(x) = x^2+3x+5 - what type of formula is this?
X math 3 graph
Function notation
45 degree angle
X is the hours to repair the boat. $1603-532=anwser/63 = x
2. What is the domain for the standard cubic function?
(-infinity - +infinity)
In a quotient
Cannot be drawn in quizlet
F of g and g of f
3. Is the standard cubic function odd - even or neither?
45 degree angle
Odd
Y=IxI
Cannot be drawn in quizlet
4. What does the square root function look like on a graph?
In a quotient
Up
Line ascending to the right gradually
Any set of ordered pairs
5. x= a real number is what type of equation?
Math 4 x - graph
When does a graph not define y as a function of x?
Horizontal right
Conditional
6. Of the seven of algebra's common graph's how many are even?
F(x) = x
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph
7. x=no real numbers is what type of an equation?
F(x+c) and f(x-c)
Inconsistant
Any set of ordered pairs
Odd
8. What type of slope do you have when the line is horizontal and m=0?
[0 -+infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Zero slope
F(x)=3 square root x
9. What is the vertical line test?
Horizontal
When does a graph not define y as a function of x?
Parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1
10. What does the average rate of change formula solve?
Identity
The second set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x
The slope of a line containing two points
11. What direction does f(x)-c move in standard absolute value formula?
X^2
Down
F(x^1)=f(x^2)
Zero slope
12. How many domains can you have pointing to one range?
The second set of components of an ordered pair
(-infinity - +infinity)
As many as you like
Identity
13. What is the formula in both horizontal stretching and horizontal shrinking?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The opposite coordinates
Perpendicular line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
14. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x+c) and f(x-c)
X = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x
Change in y / change in x = rise / run = y2-y1 / x2-x1
15. What is a relation?
(-infinity - +infinity)
Negative inverse
Mirror image neg quadrant to that of the positive quandrant
Any set of ordered pairs
16. Which direction does f(x)=+c move in standard absolute value formula?
Conditional
Up
Parabola
Set the x and y to zero and get the intercepts and then plot the points
17. What is the point slope formula and when do you use it?
F(x+c) and f(x-c)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Perpendicular line
Three odd - cube root - identity - standard cubic
18. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
Postiive slope
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
In a quotient
19. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
When does a graph not define y as a function of x?
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)
20. How would this formula move f(x)=(x+1)^2-3
Odd
Parabola - up one and right three
(-infinity - +infinity)
F(x+c) and f(x-c)
21. Draw or discuss an increasing function
The second set of components of an ordered pair
M
F(x)=IxI
Cannot be drawn in quizlet
22. What type of slope do vertical lines have?
Up
Cannot be drawn in quizlet
Undefined
M
23. What is another way to write f(x)=x - what type of function is this?
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
Odd
Y=x - identity function
24. What is the domain of an identity function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
The first set of components of an ordered pair
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
25. What is the formula for an identity function?
45 degree angle
F of g and g of f
Math 4 x - graph
F(x) = x
26. What is the range of the constant function?
Y= then enter the number then press graph
The first set of components of an ordered pair
Only one
The single number y=
27. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
The minimum or maximum points
Approach neg toward x through zero and above positive close to x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
28. What type of line is a constant function?
Only one
0<c<1 - horizontal stretching
Horizontal
Approach neg toward x through zero and above positive close to x
29. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
(-infinity - +infinity)
F(x)=IxI
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
30. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges
Parraelle line
31. What is a domain?
The first set of components of an ordered pair
Up
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
32. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
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 -6 -9
The minimum or maximum points
A V
33. y=f(cx) - What does this formula represent?
The secant line
Y= then enter the number then press graph
X = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking
34. What are the calculator instructions for the cube root function?
Same
2nd catalog (zero key -) abs(x) - graph
Math 4 x - graph
Cannot be drawn in quizlet
35. What is a range?
The second set of components of an ordered pair
Horizontal right
0<c<1 - horizontal stretching
Same
36. What is the formula for the cube root function?
2nd catalog (zero key -) abs(x) - graph
F(x)=3 square root x
Function notation
Y
37. What type of slope do vertical lines have?
(-infinity - +infinity)
Y= then enter the number then press graph
Undefined
Set the x and y to zero and get the intercepts and then plot the points
38. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Because the demintor of a quotient can never equal zero
Zero slope
4 -6 -9
(-infinity - +infinity)
39. Is the standard cubic function odd - even or neither?
F(x)=3 square root x
When does a graph not define y as a function of x?
Perpendicular line
Odd
40. What is the domain for a standard quadratic function?
[0 -+infinity)
Negative inverse
(-infinity - +infinity)
The slope of a line containing two points
41. Which direction does f(x)=+c move in standard absolute value formula?
Up
(-infinity - +infinity)
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
42. What does linear equation mean?
X^2
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Equation of a line
Undefined
43. What is another way of writing the absolute value function?
Y=IxI
F(x^1)=f(x^2)
Only one
X math 3 graph
44. What is the domain of the cube root function?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal left
F(x)=3 square root x
45. What is the range of an identity function?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Math 4 x - graph
The opposite coordinates
46. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
[0 -+infinity)
Only one
(-infinity - 0]you[0 - +infinity)
47. What is the slope of a perpendicular line?
Only one
Negative inverse
F of g and g of f
45 degree angle
48. standard absolute value - vertical shift formulas for positve and negative
The minimum or maximum points
F(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=+c and f(x)-c
49. Two vertical lines side by side are a symbol for what
In a quotient
Parraelle line
A V
(-infinity - +infinity)
50. What type of line is a constant function?
Horizontal
(-infinity - +infinity)
Y=x^2 - graph
Odd