Solving Equations
Is 2 a solution to 8x-9=15
Yes
When I am solving an inequality, I only flip the sign when....
Let the number of grapes = n and the number of strawberries = n-10. You find that there are 31 grapes. How many strawberries are there?
21
When you see the word at most, what symbol should you write down.
≤
Create a let statement for finding 4 consecutive integers
Let
1st = n
2nd = n+1
3rd = n+2
4th = n+3
When we are checking if a given number is a solution to an equation there are 2 ways we can check. Name them.
1. Plug in the number and see of the equation is true
2. Solve the equation for x and see if the number is equal to what x equals
Solve for x:
2x-3<13
x<8
Gabe has 3 less than 4 times the amount of money that Ross has. Write two let statements that would help you solve this problem.
Let
R = Ross' Money
4R-3 = Gabe's Money
When two times a number n is increased by 2, the result is at least 32. Write the equation to illustrate this.
2n+2 ≥ 32
Create a let statement for finding three consecutive even integers
Let
1st = n
2nd = n+2
3rd = n+4
Solve for x: (7x-1)=2(2x+3)
x = 13/3 or 4.333333...
Solve for x: (2+x)/-2<4
x>-10
What is something you can do to increase you grade on the celebration. Explain how you would complete this.
Proof of Study!
Rewrite / Retry old problems from this unit on a loose leaf sheet of paper ((focus on the problems you struggle with for it to be more effective))
You will earn at least 1 bonus point (most likely 4-5)
Emma is driving to another state. The distance she must travel is given by the expression 358 - 65h where h is the hours she has driven. She must stop for a break when she has at most 150 miles left to drive. Write and equation to model this, then solve.
h ≥ 3.2
Emma can drive a maximum of 3.2 hours
I am thinking of 2 consecutive integers whose sum is equal to 21. Write an equation that would illustrate this.
n+n+1=21 or 2n+1=21
Solve for w
v/(lh)
Solve for m:
5(2-m)>-11m-8
m>-3
A test contains questions worth 1 point, 2 points, and 10 points. There are eight 1-point questions and there are five more 2 point questions than 10 point questions. The test is worth a total of 90 points. Write an equations to illustrate this.
8+2(n+5)+10n=90
Find all numbers for which 5 less than half the number is at least seven.
n ≥ 24
Two consecutive, even integers have the property where 6 less than 3 times the smaller is the larger increase by 10. Write an equation that illustrates this.
3n-6=(n+2)+10
Solve for x: ax+b=cx+3
(3-b)/(a-c)
Solve for x:
(n-3)/-5 ≥ 2
n ≤ -7
Rachel has $2.30 in dimes and quarters. She has two more dimes than quarters. Write an equations that can be used to determine x, the number of quarters Rachel has.
0.25(x) + 0.10(x+2) = 2.30
The cook at a local diner made 200 ounces of chili. Each bowl contains 8 ounces. The cook needs to save at least 48 ounces of chili to take home. Write an inequality to model the the number of bowls than can be sold.
200 - 8n ≥ 48
Two consecutive, odd integers have a property such that when the larger is increased by 10 times the smaller, the result is 39. Write an equation to illustrate this.
(n+2)+10n=39