Creating Equations Consecutive Number Problems If the numbers

Creating Equations

Consecutive Number Problems �If the numbers are consecutive use: st � 1 number = x nd � 2 number = x + 1 rd � 3 number = x + 2 � etc

Consecutive Number Problems �If the numbers are consecutive ODD: st � 1 number = x � 2 nd number = x + 2 � 3 rd number = x + 4 � etc

Consecutive Number Problems �If the numbers are consecutive EVEN: st � 1 number = x � 2 nd number = x + 2 � 3 rd number = x + 4 � etc

Example 1 �The sum of 3 consecutive even numbers add up to 1002. Find the three numbers. 1 st 332 nd 2 334 3 rd 336

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

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

Classwork Worksheet: Lucy’s Linear Equations & Inequalities

Homework Worksheet Linear Equations & Inequalities