College Algebra Test

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?
Y= then enter the number then press graph
Conditional
Math 4 x - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly


2. Which direction does f(x-c) move
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal right
2nd key - x^2 - graph
Negative slope


3. What is the domain of a square root function?
A V
(-infinity - +infinity)
(-infinity - +infinity)
[0 -+infinity)


4. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Identity
(-infinity - +infinity)
The secant line
Postiive slope


5. What is an identity function?
0<c<1 - horizontal stretching
Math 4 x - graph
45 degree angle
F(x) = x


6. Of the seven of algebra's common graph's how many are even?
Cannot be drawn in quizlet
C>1 - horizontal shrinking
Absolute Value - Constant and Standard Quadratic
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


7. 4(x-7)=4x+28 is what type of an equation?
Mirror image neg quadrant to that of the positive quandrant
Inconsitent
Set the x and y to zero and get the intercepts and then plot the points
Horizontal


8. What are the steps for solving a word problem?
Same
Horizontal
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
F(x)=+c and f(x)-c


9. What is a relation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Zero slope
F(x)=IxI
Any set of ordered pairs


10. What type of slope do vertical lines have?
Horizontal left
Function notation
1 -2 -3
Undefined


11. What type of slope do you have when the line is horizontal and m=0?
Yes because two x's or domains can point to one y
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Zero slope
(-infinity - +infinity)


12. What does the graph of the cube root function look like on the graph?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
F(x^1)=f(x^2)
Approach neg toward x through zero and above positive close to x


13. x=all real numbers is what type of an equation?
Equation of a line
X^2
F(x)=+c and f(x)-c
Identity


14. What type of line is an identity function?
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
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
A V


15. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
X^2
Negative slope
F(x^1)=f(x^2)


16. What does the standard cubic function look like on a graph?
Perpendicular line
The minimum or maximum points
As equations
Mirror image neg quadrant to that of the positive quandrant


17. What is the formula for slope?
When does a graph not define y as a function of x?
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd key - x^2 - graph
F(x)=IxI


18. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=b
Conditional
[0 -+infinity)
Yes - all the domains points to one range


19. What is the point slope formula and when do you use it?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Any set of ordered pairs
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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope


20. What is the range for an absolute value function?
Parraelle line
45 degree angle
Absolute Value - Constant and Standard Quadratic
(-infinity - 0]you[0 - +infinity)


21. What is the range of a square root function?
Even
M
[0 -+infinity)
Perpendicular line


22. What is a constant function?
X = the original sale price and the formula is x - .40x =$276
F(x^1)=f(x^2)
F(x+h)-f(x)/h h cannot equal zero
F of g and g of f


23. What can we substitute for f(x)?
Y=b
Approach neg toward x through zero and above positive close to x
Y
Cannot be drawn in quizlet


24. What is the vertex?
The minimum or maximum points
Square Root
X math 3 graph
Y= then enter the number then press graph


25. Which direction does f(x)=+c move in standard absolute value formula?
Negative inverse
Parabola
Up
(-infinity - +infinity)


26. What is the domain for a standard quadratic function?
X^2
X^2
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)


27. What is a function?
Negative slope
X math 3 graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.


28. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
No because you cannot have one domain pointing at two y's or ranges
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
Function notation
When does a graph not define y as a function of x?


29. What type of slope do horizontal lines have?
When does a graph not define y as a function of x?
C>1 - horizontal shrinking
Y= then enter the number then press graph
Same


30. What does linear equation mean?
Equation of a line
2nd catalog (zero key -) abs(x) - graph
F(x)=+c and f(x)-c
Piecewise


31. What is a range?
Parabola
The second set of components of an ordered pair
X math 3 graph
Y


32. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Parraelle line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y


33. 4x+5x=8x is what type of an equation?
Conditional
Parabola - up one and right three
Square Root
20+.05x=5+.10x x=minutes


34. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
A line passing through two distinct points
C>1 - horizontal shrinking
F(x)=suare root of x


35. x= a real number is what type of 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
C>1 - horizontal shrinking
Y=b
Conditional


36. x^2+y=4 is this a function? Why?


37. Two vertical lines side by side are a symbol for what
F(x)=3 square root x
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph
Parraelle line


38. What is another way of writing the absolute value function?
F(x)=x^3
(-infinity - 0]you[0 - +infinity)
Y=IxI
C>1 - horizontal shrinking


39. What is the domain for an absolute value function?
Inconsistant
(-infinity - +infinity)
X math 3 graph
4 -6 -9


40. What does the average rate of change formula solve?
Function notation
The slope of a line containing two points
Piecewise
Y=x - identity function


41. What is slope?
F(x)=suare root of x
Only one
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A line passing through two distinct points


42. What shape is the standard quadratic function?
Parabola
M
Y=b
The second set of components of an ordered pair


43. What is the formula for the cube root function?
F(x+h)-f(x)/h h cannot equal zero
F of g and g of f
F(x)=3 square root x
Identity


44. What is a domain?
A V
(-infinity - +infinity)
(-infinity - +infinity)
The first set of components of an ordered pair


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?
X2-x1 because the demonaitor of a quotient can never equal zero
Negative slope
Square Root
X is the hours to repair the boat. $1603-532=anwser/63 = x


46. What type of line is a constant function?
M
When does a graph not define y as a function of x?
Horizontal
The single number y=


47. Why can h not equal zero in the difference of a quotient function formula?
A line passing through two distinct points
Parabola - up one and right three
Because the demintor of a quotient can never equal zero
Math 4 x - graph


48. What is the range of an identity function?
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
45 degree angle
Parabola - up one and right three


49. In an identity function if f(10)=x than What is y?
The opposite coordinates
(-infinity - +infinity)
Y=10
Parabola - up one and right three


50. What is the formula for slope?
[0 -+infinity)
F(x)=suare root of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal right