Expressions/
Equations
Equations
p = 2l + 2w
Solve for w
w = (p − 2l) / 2
Simplify: 5a • 25b
5a+2b
Solve the following system of equations algebraically for all values of x and y:
y = x2 − 7x + 12
y = 2x − 6
(6,6)
(3,0)
Given g(x) = x3 + 2x2 − x, evaluate g(−3)
-6
In an arithmetic sequence, the first term is 4 and the third term is −2. What is the common difference?
3
How do you calculate IQR algebraically?
Q3 - Q1
–4z2 + 13z – 3 = 0
1/4 & 3
Factor completely:
20x3 − 45x
5x (2x + 3) (2x − 3)
This fraction represents the odds of flipping a coin four times in a row and each time it landing on heads.
1/16
On an island, a rare breed of rabbit doubled its population each month for two years. Which type of function best models the increase in population at the end of two years?
linear/exponential growth/decay
exponential growth
A geometric sequence is shown below.
1/2, 2, 8, 32,. . .
What is the common ratio?
4
Name all 3 APs.
Ms. Aulicino
Dr. Meneses
Ms. Malizia
Given: x 2 − 12 = 7x − 8
Step 1: x 2 − 4 = 7x
Which property is shown in the first step?
addition property of equality
Simplify:
3(x2 − 2x + 3) − (4x2 + 3x − 1)
−x2 − 9x + 10
Solve the systems of equations algebraically for all values of x and y:
y = x2 + 4x − 1
y = 2x + 7
(-4,-1)
(2,11)
If f(x) = x2 , write the function that represents a shift of the graph of f(x) 4 units to the right and 3 units down.
g(x) = (x − 4)2 − 3
The third term in a sequence is 25 and the fifth term is 625. Which number could be the common ratio of the sequence?
5
What is mode?
The number that appears the most often in the data set.
What is the y-intercept of the line that passes through the points (−1,5) and (2,−1)?
b = 3
Simplify:
(x − 5)(2x + 7) − (x + 5)
2x2 − 4x − 40
Solve the following systems of equations algebraically for all values of x and y:
y = x2 + 5x − 17
x − y = 5
(−6,−11)
(2,−3)
Earning interest on both the principal value invested and on the interest you’ve already accumulated is known as this:
Compound interest
The equation that represents the sequence −2,−5,−8,−11,−14,. . . is
an = −2 + (−3)(n − 1)
Name one state where Ms. Kim taught (other than NY).
Massachusetts
North Carolina
−2(3x − 5) = 9/2x − 2
8/7
If x = 4a2 − a + 3 and y = a − 5, then which polynomial is equivalent to the product of x and y?
4a3 − 21a2 + 8a − 15
The functions f(x) = x2 − 5x − 14 and g(x) = x + 2 are graphed on the same set of axes. What are the solutions to the equation f(x) = g(x)
x = 8,−2
Describe the graph of g(x) = 2(x − 3)2 compared to the graph of f(x) = x2. (2 things)
graph of g(x) is narrower and shifted right 3 units.
In an arithmetic sequence, the first term is 25 and the third term is 15. What is the tenth term in this sequence?
-20
What are the first ten digits of pi?
3.141592653