Transcript Consecutive Number Problems

Warm up
1.
Interpret the following: “The quotient of a
number cubed and twelve plus twice a
different number”
2.
Solve for “m”: y = mx + b
Review HW
Creating Equations
Consecutive Number Problems
 If the numbers are consecutive
use:
st
1
number = x
2nd number = x + 1
3rd number = x + 2
etc
Consecutive Number Problems
 If the numbers are consecutive
ODD:
1st number = x
2nd number = x + 2
3rd number = x + 4
etc
Consecutive Number Problems
 If the numbers are consecutive
EVEN:
1st number = x
2nd number = x + 2
3rd number = x + 4
etc
Example 1
 The sum of 3 consecutive even
numbers add up to 1002. Find the
three numbers.
1st 332
nd
2 334
3rd 336
Example 2
 The sum of 4 consecutive numbers
add up to 4810. Find the four
numbers.
1st 1201
nd
2 1202
3rd 1203
th
4 1204
Example 3
 You and 3 friends divide the
proceeds of a garage sale equally.
The garage sale earned $412. How
much money did you receive?
$103 each
Creating Inequalities
Example 4
 Juan has no more than $50 to
spend at the mall. He wants to buy
a pair of jeans and some juice. If
the sales tax is 4% and the juice
with tax costs $2, what is the
maximum price of jeans Juan can
afford?
x  $46.15
Example 5
 Silvia is saving to buy a laptop that costs
$1,100. So far she has saved $400. She
makes $12 an hour babysitting. What’s
the least number of hours she needs to
work in order to reach her goal?
x ≥ 58.33 hours
Classwork
Worksheet: Lucy’s Linear
Equations & Inequalities
Homework
Worksheet Linear
Equations & Inequalities