Homework Questions
Algebra 2 HW, Question 10
If x^2-y^2=21, then 2(x+y)(x-y)=?
D. 42
FOIL
M1: Q5
What is the equation of the graph shown above?
y=mx+b
m=slope
b=y-intercept
y=mx+6
Two versions to find m:
Plug in a point(3,3)
3=3m+6
m=-1
or
m= (y2-y1)/(x2-x1) = (0-3)/(6-3)=-1
C. y=-x+6
M1; Q1
x=5
y=3x-4
In the given system of equations, what is the value of y?
y=3(5)-4
y=15-4
y=11
Use Desmos calculator
M1, Q2: What is the area of a triangle with a base of 9inches and a height of 14 inches?
A=1/2bh
A=1/2(9)(14)
A=1/2(126)
A=63
M1: Q11
What expression is equivalent to 15cd^2+ 3c^2?
3c(5d^2+c)
FACTOR
OR
Plug in!
Models HW, Q 5
P(t)= 35(0.8)^t
The population of starlings in a certain park can be modeled by the equation above where P(t) is the number of starlings in the park after t years. Which of the following statements is true based on the equation?
D. the number of starlings in the park decreases by 20 percent each year
M1, Q7
A bakery sells donuts individually and in boxes of 12. On a certain day, the bakery sold a total of 343 donuts, of which 37 were sold individually. Which expressions shows the number of boxes of donuts, b, sold that day?
how many donuts were sold in dozens? (373-37(individual))
If we have 336 donuts, how many boxes can we make. 336/12
B. b=373-37/12
M1: Q 10
Which of the following could be an equation for the graph shown in the xy-plane above?
C. y=x(x+4)(x-3)^2
DESMOS
or
Zeros!
M2A, Q 5
In the figure shown, line b is parallel to line c and line a intersects both lines. What is the value of n?
D. 148
Interior angles sum to 180 OR
Alternate interior angles are the same
M 2A 8, M2B 19
x^2-4x-16=0
One solution to the given equation can be written as 2-2SQRT(r), where r is a constant. What is the value of r
DESMOS!!!!!!
B. 5
Algebra I HW, Q10
((3x^23y^2)^3)^2
For all values of x and y which of the following is equivalent to the expression above?
C. 729x^18y^12
M1: Q9
S=5.1x+4.6y
Jocelyn raises x chickens and y turkeys, and she uses the given equation to estimate the number of square feet S she will need for their enclosure. What is the best interpretation of 4.6 in this situation?
Quantity/Value Model
B. the Average number of Square feet per turkey required in the enclosure
VALUE OF TURKEY
M1: Q15
Each week, the mass of an isotope decreases by 50% of its mass at the start of the week. Which of the following functions best models how the mass of the isotope changes over time?
C. Decreasing exponential
If decreases by a percent, that is an exponential function
Xt=X0(1+/-r)^t
r--> the percentage in decimal form
M2A, Q6 & M2b Q 17:
The measure of angle Q is 7pi/12 radians. The measure of angle S is pi/3 radians greater than the measure of angle Q. What is the measure of angle S, in degrees?
7pi/12 + pi/3= 7pi/12 + 4pi/12= 11pi/12
(11pi/12)*(180/pi)
=165 degrees.
M2A, Q3 or M2B, Q11:
H=1.88L + 32.01
The length of a male's femur, a bone in the leg, is a reliable predictor for his overall height. The equation above shows an approximation for the height in inches, H, of a male based on the length in inches, L, of his femur. Which of the following expresses the length of a male's femur in terms of his overall height?
Reorganize the equation in terms of L:
H=1.88L + 32.01
1.88L=H-32.01
A. L= (H-32.01)/1.88
Test taking techniques, HW Question 14.
If m+n=x, and m-n=y, then in terms of x and y, which of the following equations mn?
D. (x^2-y^2)/4
USE PLUG IN
M1, Q8
35x-15=5(7x-b)
In the equation above, b is a constant. If the equation has an infinite number of solutions, what is the value of b?
Infinite number of solutions= the two equations are equal
Use demos
or
35x-15=5(7x-b)
35x-15=35x-5b
-15=-5b
b=3
BONUS 100 pts: Parallel lines have ____ slopes
M2A, Q10
In the xy-plane, the parabola with equation y=(x+6)^2 intersects the line with equation y=16 at two points, R and S. What is the length of segment RS?
DESMOS!!!
A. 8
M1: Q14
In the triangles FGH and JKL, angles F and J each measure 48 degrees and angles H and L each measure 17 degrees. Which additional pieces of information is sufficient to determine whether triangle FGH is congruent to triangle JKL?
C. The length of sides FG and JK
Two ways to test congruence:
Side Angle Side
Angle Side angle
M2A, Q15
The tables below give the distribution of children's ages at two different elementary schools.
Which of the following is true about the data?
B. The standard deviation of the children's ages at school B is larger than that of School A.
Geometry, Drill D question 19
The graph of the equation above in the xy-plane is a circle. What is the radius of the circle?
B. 5
DESMOS
M1; Q18
At Woodmont High School, 103 students are presenting skits in a drama class. The students have been placed in 29 groups of 3 or 5 students. If each group presents one skit how many skits were presented by groups of 5 students?
Quantiy/Value:
t+f=29
3t+5f=103
3t+3f=87
-(3t+5f=103)
-2f=-16
f=8
M1: Q 12
If f(x)=-2x+4. which of the following expressions is equivalent to f(-2x)?
f(x)=-2x+4, so
f(-2x)=-2(-2x)+4
= 4x+4 (B)
or PI
M1, Q19:
A right triangle has legs with lengths of 18 inches and 28 inches. If the length of this triangle's hypotenuse, in inches, can be written in the form of 2sqrt(L), where L is an integer, what is L?
a^2+b^2=c^2
28^2+18^2=(2SQRT(L))^2 ---> DESMOS or
784+324=4L
1108=4L
L=277
M 2A, Q7 or M2B, Q18
An art dealer believes that the price of a certain sculpture worth $2800 today will increase by 12% per year for the next five years. the dealer uses the equation P=2800(r)^t to model the prince, P, of the sculpture after t yhears. WHat value should the dealer use for r
Xt=X0( 1+/-R)^t
R(in the problem)= 1+/-R(for CapeD)
INCREASE
r= 1+ R= 1+ 0.12
= 1.12