Warm up Interpret the following: “The quotient of a number cubed and twelve plus twice a different number” Solve for “m”: 22 = 5m + 7.

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Presentation transcript:

Warm up Interpret the following: “The quotient of a number cubed and twelve plus twice a different number” Solve for “m”: 22 = 5m + 7

Creating Equations

Consecutive Number Problems If the numbers are consecutive use: 1st 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 2nd 334 3rd 336

Example 2 The sum of 4 consecutive numbers add up to 4810. Find the four numbers. 1st 1201 2nd 1202 3rd 1203 4th 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

Example 4 The length of a rectangle is 6 cm. more than the width. The perimeter is 32 cm. Find the dimensions. 11 cm. by 5 cm.

Creating Inequalities

Example 5 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 6 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

Example 7 A radio station is giving away concert tickets. There are 40 tickets to start. They give away 1 pair of tickets every hour for a number of hours until they have at most 4 tickets left for a grand prize. If the contest runs from 11:00 A.M. to 1:00 P.M. each day, for how many days will the contest last? 6 DAYS

Worksheet: Lucy’s Linear Equations & Inequalities Classwork Worksheet: Lucy’s Linear Equations & Inequalities

Worksheet Linear Equations & Inequalities Homework Worksheet Linear Equations & Inequalities