Writing Equations
Write and solve.
Triple a number is equal to that sum of 4 and that number times two
3x=2(x+4)
x=8
Solve for x
3/4(x)+8=y
x=4(y-8)/3
3/11 and 9/32
No
Name the first 10 digits of pi after 3
3.1415926535
Find the percent change from 95 trees to 145 trees
53 percent
Translate into words
3x2-4y=y-4
Three times x squared reduced by four times y is equivalent to y reduced by 4
Solve for x
4x-8y=12z
x=3z+2y
Find three things proportionate to
1.2/1.4
anything that has a ratio of .85714...
Define factoring and give an example
many answers
What is the total cost with sales tax?
Price $2.75
Tax 5%
$2.89
Write the problem:
In algebra, we can come to the conclusion that the sum of two numbers squared is equivalent to the sum of first number squared, the second number squared, and double the product of the numbers.
(a+b)2=a2+b2+2ab
Solve for c
3c+8=-10c+y
c=(-8+y)/13
Solve for n
5/6 = 7n+9/9
-.21
What is the pattern in this sequence? find the next number. Bonus, what is the sequence called?
1,1,3,5,8,13,21
Fibonacci, add two previous together, 34
Find the cost of the jeans after the discount.
jeans: $39.99 sales
discount: 15%
39.99 * (100%-15%) = 39.99 * 85% = 39.99 *.85 = $34
What is $34.00?
Write the problem, then solve.
Ms. Repkin spends triple the amount of money on coffee as she does any regular food for herself. She spends seven times the amount of money on rent as she does food. If she spends 605 total, how much does she spend on food, coffee, and rent?
c=3f
r=7f
c+r+f=605
3f+7f+f=605
c=165, r=385, f=55
Solve for b
bx+7y=3b+y
b=-6y/(x-3)
Solve for r
5/r-9=8/r+5
32.33
What is the number of the classroom you are in (do not move from your seat)
301
As soon as a new car is purchased and driven away from the dealership, it begins to lose its value, or depreciate. Alonso bought a 1994 Plymouth Neon for $9559. One year later, the value of the car was $8500. What was the percent of change of the value of the car? Make sure to indicate whether this is an increase or a decrease. Round to the nearest whole percent.
(8500-9559)/9559 = -1059/9559 = -.11
What is 11% decrease?
Write the most complicated way to say this equation. Only top one or two groups will get points.
1/2(3x-8)=x2-x+17
many responses possible
Solve for x (x=...)
3x+8+4y=xz+4xy+1
x=(-4y-7)/(3-z-4y)
solve for p
(p+10)/(p-7)=8/9
-146
What is the pattern here? Do you know what it is called? Write the next line
1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
Pascals triangle
What is the total cost with sales tax?
Price $120.00
Tax 5%
99.99 * (100%-20%) = 99.99 *80% = 99.99 *.8 = 79.99
79.99 * (100% + 6.75%) = 79.99 * 106.75% = 79.99 *1.0675 = 85.39
What is $85.39?