Adding and Subtracting Polynomials
(4r3 + 1 + 2r2) + (2r3 + 2r2)
3a2 - 5
2(-2x - 7)
-4x - 14
Solve by graphing in your math notebook:
y = -0.5x + 1
y = -1.5x - 3
(-4, 3)
Aria and Joseph are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Aria sold 10 rolls of plain wrapping paper and 6 rolls of holiday wrapping paper for a total of $166. Joseph sold 7 rolls of plain wrapping paper and 2 rolls of holiday wrapping paper for a total of $81. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?
Roll of plain wrapping paper: $7
Roll of holiday wrapping paper: $16
Maddie can sweep a porch in 15 minutes. Adam can sweep the same porch in 13 minutes. If they worked together, how long would it take them?
6.96 minutes
(5v3 + 5) - (2v3 - 8)
3v3 + 13
(-x + 6)(2x+3)
-2x2 + 9x + 18
Solve by substitution:
x - 8y = -11
-2x + 4y = -2
(5,2)
Thijs and Nolan are selling pies for a school fundraiser. Customers can buy cherry pies and blackberry pies. Thijs sold 14 cherry pies and 4 blackberry pies for a total of $188. Nolan sold 7 cherry pies and 1 blackberry pie for a total of $75. What is the cost each of one cherry pie and one blackberry pie?
Cherry Pie $8
Blackberry Pie $19 (the blackberries had to be imported)
Graph the absolute value equation in your math notebook:
y = -2 |x-2| + 3
Ms. Sugg to check graph
(4 + 4m4 - 8m2 - 6m) + (6 + 4m + 5m2)
4m4 - 3m2 - 2m + 10
(-12v + 16)(-11v+15)
No calculator allowed
132v2 - 356v + 240
Solve by graphing in your math notebook:
4y - 12 = -x
x - 2 = y
(4,2)
The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 9 vans and 7 buses with 344 students. High School B rented and filled 3 vans and 6 buses with 210 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Van holds 18 students and bus holds 26.
Alex traveled to the train station and back. It took two hours longer to go there than it did to come back. The average speed on the trip there was 36 mph. The average speed on the way back was 60 mph. How many hours did the trip there take?
5 hours
(7x2 - 2 + x3 + 8x4) - (7 - 8x3 + 4x2)
Then name your difference by degree and number of terms
8x4 + 9x3 + 3x2 - 9
Quadrinomial to the 4th Degree
(3x2 + x - 2)(2x+3)
9x3 + 12x2 - 3x - 6
3x - 5y = -24
9x - 10y = -27
(7,9)
When you reverse the digits in a certain two-digit number you increase its value by 9. What is the number if the sum of its digits is 17?
89
Reese has $4.85 in coins. If she has six more nickels than dimes and twice as many quarters as dimes, how many coins of each type does she have?
Reese has 7 dimes, 13 nickels, and 14 quarters.
(8 - 8n2 + 8n3 - n4) - (7n4 + n3 - 2) + (3 - 5n3 + 2n2)
-8n4 + 2n3 - 6n2 + 13
(4x2 + x - 2)(-5x2 - 3x - 2)
-20x4 - 17x3 - x2 + 4x + 4
Solve by elimination:
-12x + 6y = -24
-10x + 5y = -20
Infinite number of solutions (same line)
A boat traveled 336 miles each way downstream and back. The trip downstream took 14 hours. The trip back took 84 hours. What is the speed of the boat in still water? What is the speed of the current?
Boat: 14mph
Current: 10mph
Zander left the airport and traveled toward the mountains at an average speed of 40 km/h. Maggie left at the same time and traveled in the opposite direction with an average speed of 40 km/h. How long does Maggie need to travel before they are 480 km apart?
6 hours