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

Review HW

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.

Missing Score 1. John’s scores on the first four test this semester were 87, 92, 76 and 89. a. What does his score have to be on the fifth test so that his average is an 85?

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

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

Worksheet Linear Equations & Inequalities Homework Worksheet Linear Equations & Inequalities