Tuesday, August 13th Please complete the warm up

1. State the constants, coefficients, and terms

2. Write an equation for 4 times twice a number plus 2 is 34

543 2 yx

TODAY’S GOAL Equations from tables and graphs

Inequalities

REMEMBER

Y= mx + b M=_________________

B=___________________

RATE OF CHANGE

CONSTANT

WHAT DOES EACH PART OF THE PROBLEM REPRESENT?

1. Our builder’s cost can represented by

a. What is the flat fee? b. What is the cost per square foot?

2. An Embroidery Shop charges can be represented by

c. What is the cost per letter? d. What is the amount of the coupon?

50$.07

$.5-5

HOMEWORK ANSWERS

The sum of 3 consecutive even numbers add up to 1002. Find the three numbers.

PART I: CONSECUTIVE EQUATIONS

CONSECUTIVE NUMBER PROBLEMSIf the numbers are consecutive use:

1st number = x2nd number = x + 13rd number = x + 2etc

CONSECUTIVE NUMBER PROBLEMS

If the numbers are consecutive ODD:1st number = x2nd number = x + 23rd number = x + 4etc

CONSECUTIVE NUMBER PROBLEMS

If the numbers are consecutive EVEN:1st number = x2nd number = x + 23rd number = x + 4etc

EXAMPLE 1The sum of 3 consecutive even numbers

add up to 1002. Find the three numbers.

1st 3322nd 3343rd 336

X + x + 2 + x + 4 = 1002

3x + 6 = 1002

3x = 996

X = 332

EXAMPLE 2The sum of 4 consecutive numbers add up

to 4810. Find the four numbers.

1st 12012nd 12023rd 12034th 1204

EXAMPLE 2The sum of 4 consecutive numbers add up

to 4810. Find the four numbers.

1st 12012nd 12023rd 12034th 1204

EXAMPLE 3The sum of three consecutive number is 215

PART II. CREATING INEQUALITIES

VOCAB REVIEW< = less than > = more than ≤ = less than or equal to≥ = great than or equal to

EXAMPLE 1Juan 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 $46.15Hint: Substitute numbersTo see if it makes sense!

EXAMPLE 2 Amy 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