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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. What type of line is an identity function?
45 degree angle
In a quotient
Y=10
M
2. What points do you use to plot the inverse on a graph?
Y=b
Inconsistant
Identity
The opposite coordinates
3. What are the four steps for solving a linear equation?
(-infinity - +infinity)
The secant line
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.
4. What does the average rate of change formula solve?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
The slope of a line containing two points
No because you cannot have one domain pointing at two y's or ranges
5. What is the range for the standard cubic function?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
X^2
The minimum or maximum points
6. What is the point slope formula and when do you use it?
Absolute Value - Constant and Standard Quadratic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F of g and g of f
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
7. What are the algebra of functions?
F(x)=3 square root x
X is the hours to repair the boat. $1603-532=anwser/63 = x
(f+g) - (f-g) - (fg) - (f/g) all of x
Parraelle line
8. y=f(cx) - What does this formula represent?
Horizontal
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
Cannot be drawn in quizlet
9. What type of slope do horizontal lines have?
4 -6 -9
A V
Same
(-infinity - +infinity)
10. Two vertical lines side by side are a symbol for what
Parraelle line
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.
Y=b
M
11. Why can h not equal zero in the difference of a quotient function formula?
[0 -+infinity)
Because the demintor of a quotient can never equal zero
Yes because two x's or domains can point to one y
The slope of a line containing two points
12. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Approach neg toward x through zero and above positive close to x
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant
Any set of ordered pairs
13. Draw or discuss a decreasing function
Line ascending to the right gradually
Cannot be drawn in quizlet
Horizontal right
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
14. What is the average rate of change formula?
Parabola
F(x2)-f(x1) / x2-x1
Odd
Neither
15. How would this formula move f(x)=(x+1)^2-3
Y= then enter the number then press graph
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
Odd
Parabola - up one and right three
16. 4(x-7)=4x+28 is what type of an equation?
Same
Even
Inconsitent
Y=10
17. What is the vertical line formula?
X^2
F(x)=+c and f(x)-c
X=a
F(x) = x
18. What is the formula for the cube root function?
F(x)=3 square root x
Horizontal left
Neither
Zero slope
19. What does the average rate of change formula solve?
F(x) = x
The slope of a line containing two points
Cannot be drawn in quizlet
Odd
20. Which direction does f(x)=+c move in standard absolute value formula?
Up
Cannot be drawn in quizlet
Horizontal right
The minimum or maximum points
21. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Cannot be drawn in quizlet
4 -6 -9
45 degree angle
Negative inverse
22. What is the formula for an identity function?
Y=b
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
F(x) = x
23. What are the steps for solving a word problem?
F(x)=+c and f(x)-c
Yes - all the domains points to one range
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
Horizontal left
24. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Parraelle line
25. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
X^2
Because the demintor of a quotient can never equal zero
45 degree angle
26. What is an identity function?
Equation of a line
Even
45 degree angle
Inconsistant
27. How many ranges can you have for each domain?
Only one
Even
Even
C>1 - horizontal shrinking
28. x^2+y=4 is this a function? Why?
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183
29. Why can h not equal zero in the difference of a quotient function formula?
F of g and g of f
Because the demintor of a quotient can never equal zero
Down
20+.05x=5+.10x x=minutes
30. Is a constant function even - odd or neither?
1 -2 -3
Undefined
Conditional
Even
31. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
2nd key - x^2 - graph
(-infinity - +infinity)
X^2
32. How do you graph Ax+By+C=0?
Y=IxI
Set the x and y to zero and get the intercepts and then plot the points
C>1 - horizontal shrinking
Y=10
33. y=f(cx) What does this formula represent?
A V
0<c<1 - horizontal stretching
Perpendicular line
Even
34. What is the formula for slope?
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parraelle line
4 -6 -9
35. 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
F(x^1)=f(x^2)
1 -2 -3
(-infinity - 0]you[0 - +infinity)
36. x= a real number is what type of equation?
Even
Conditional
Yes - all the domains points to one range
(-infinity - +infinity)
37. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Identity
X^2
Only one
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
38. Which direction does f(x)=+c move in standard absolute value formula?
F(x)=suare root of x
Up
45 degree angle
Odd
39. How many ranges can you have for each domain?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Only one
F(x) = x
F(x)=+c and f(x)-c
40. When is the only time (-infinity - +infinity) is not the domain?
Piecewise
A V
The opposite coordinates
In a quotient
41. What type of line is an identity function?
Negative slope
45 degree angle
Absolute Value - Constant and Standard Quadratic
F of g and g of f
42. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X^2
Y=x - identity function
Y=IxI
43. What is another way to write f(x)=x - what type of function is this?
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
Y=x - identity function
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
44. 4x+5x=8x is what type of an equation?
Y=x - identity function
Conditional
The slope of a line containing two points
F(x)=+c and f(x)-c
45. What does linear equation mean?
Y=x - identity function
As many as you like
Equation of a line
(f+g) - (f-g) - (fg) - (f/g) all of x
46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
The minimum or maximum points
Set the x and y to zero and get the intercepts and then plot the points
X=a
47. Of the seven of algebra's common graph's how many are even?
The opposite coordinates
X = the original sale price and the formula is x - .40x =$276
Y
Absolute Value - Constant and Standard Quadratic
48. What type of slope do you have when a line falls left to right and m<0?
20+.05x=5+.10x x=minutes
Negative slope
Mirror image neg quadrant to that of the positive quandrant
Approach neg toward x through zero and above positive close to x
49. What does the graph of the cube root function look like on the graph?
(-infinity - 0]you[0 - +infinity)
Undefined
Absolute Value - Constant and Standard Quadratic
Approach neg toward x through zero and above positive close to x
50. f(x) = x^2+3x+5 - what type of formula is this?
Absolute Value - Constant and Standard Quadratic
4 -6 -9
Function notation
Inconsitent