Linear Equations
In the linear equation,
y = mx + b
what does the m represent?
slope
What does the "a" in the exponential equation represent?
y=ab^x
The starting point. For example, if there were 20 germs in a Petri dish and they double every hour, the a would be equal to 20.
Factor the following into two binomials:
x^2-x-12
(x+3)(x-4)
Which expression is equivalent to:
3(4x-3)(x-1)
A. 12x^2+3x-9
B. 12x^2-3x-9
C. 12x^2+21x-9
D. 12x^2-21x-9
B. 12x^2-3x-9
Solve the following equation for the variable, m
E=mc^2
A. m=E/c^2
B. m=c^2/E
C. m=Ec^2
D. m=sqrt(Ec^2)
A. m=E/c^2
In the linear equation,
y = mx + b
what does the "b" represent?
y intercept, or where the equation crosses the y-axis
Write the exponential equation for the following in the form:
y=ab^x
There were 20 germs in the Petri dish and they triple every hour. Let x = the number of hours
y=20(3)^x
Factor the following into two binomials:
7x^2+27x-4
(7x - 1)(x + 4)
A doubles tennis court measures (7x + 8) in length and (3x + 6) in width. Which expression represents the area of the court?
A. (10x + 14) ft^2
B. (20x + 28) ft^2
C. (21x^2+ 66x + 48) ft^2
D. (21x^2+ 69x + 48) ft^2
C. (21x^2+ 66x + 48) ft^2
Solve the following for the variable, S:
R=P/S*100
A. S=R/100P
B. S=P/100R
C. S=100P/R
D. S=100R/P
C. S= 100P/R
What is the slope of the following linear equation?
-3y = 2x - 8
-2/3
Write the exponential equation for the following:
Paul put $300 in a checking account. He wants to know how much money he will have in the account in 5 years at an interest rate of 3% compounded yearly. Let x = years.
y=300(1.03)^5
What are the "roots" of the following quadratic?
3x^2+11x-4
3x^2+11x-4
(3x-1)(x+4)=1/3, -4
Which of the following is equal to:
(3x^2-4x+7)-(-2x^2+x+5)
A. x^2-5x+2
B. x^2-3x+12
C. 5x^2-5x+2
D. 5x^2-3x+12
C. 5x^2-5x+2
The area of a circle is calculated by the following formula. Solve the formula for the radius, r.
A = pir^2
A. r=sqrt(A/pi)
B. r=sqrt(pi/A)
C. r=pi^2A^2
D. r= A^2/pi^2
A. r=sqrt(A/pi)
Calculate the slope between the following points:
( 3, 8) and (-3, -10)
3 or
3/1
Write the exponential equation for the following:
Susan purchased a car for $5000. She wants to know what the car will be worth in 7 years if it depreciates in value 15% each year. Let x= number of years.
y=5000(.85)^7
What is the axis of symmetry of the following?
f(x) = x^2 - 2x - 24
A. x = -2
B. x = -1
C. x = 0
D. x = 1
D. x = 1
Which is equivalent to the following?
(z-11)^2
A. 2z-22
B. z^2+121
C. z^2+22z+121
D. z^2-22z+121
D. z^2-22z+121
Solve the following equation for the variable, y.
4x-2y=6
A. y=-2x-3
B. y=2x-3
C. y=2x+3
D. y=-2x+6
B. y=2x-3
What is the x-intercept of the following linear equation?
4x - 3y = -7
-7/4
Explain how you know when an exponential equation is a growth versus a decay.
If the "b" is less than 1, it is a decay. If the "b" is greater than 1, it is a growth.
Jordan tosses a coin off a bridge into the river.
The height of the coin, f(x) in feet, is represented by the function
f(x) = -16x2 - 16x + 60
where x represents time, in seconds. How long is the coin in the air?
1.5 seconds
Which of the following is equivalent to:
5(2c+d)-(c+2d)+(c+d)
A. 10c
B. 10c+4d
C. 10c+8d
D. 12c+8d
B. 10c + 4d
The period of a pendulum is calculated with the following formula. Solve the formula for the variable, L.
T=2pisqrt(L/g)
A. L=(gT^2)/(4pi^2)
B. L=(gT^2)/(2pi)
C. L=(Tg^2)/(4pi^2)
D. L=(Tg^2)/(2pi)
A. L=(gT^2)/(4pi^2)