Algebra 1 Fill In Notes - Systems Word Problems PDF

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Summary

These are notes on solving systems of equations using word problems example for algebra 1.

Full Transcript

Algebra 1 Fill in Notes Name:____________ Fill-in Notes: Systems Word Problems Match the steps that go with each part of the solved problem. Write out steps fully in each line Solve the system...

Algebra 1 Fill in Notes Name:____________ Fill-in Notes: Systems Word Problems Match the steps that go with each part of the solved problem. Write out steps fully in each line Solve the system of Write an equation for both Underline, circle and/or equations using any method. situations. highlight important information in the problem. A system of equations is a set Determine what you are Organize the known of two or more equations trying to find and define your information. that are somehow related. variables. Key Math Vocab Problem: Eduardo and Nicole each improved their yards by planting Hostas and ornamental grass. They bought their supplies from the same store. Eduardo spent $183 on 14 Hostas and 5 bunches of ornamental grass. Nicole spent $120 on 7 Hostas and 12 bunches of ornamental grass. Find the cost of one Hosta and the cost of one bunch of ornamental grass. Problem Written Steps 1) Eduardo and Nicole each improved their yards by planting Hostas and ornamental grass. They bought 1) Underline, circle and/or highlight important information their supplies from the same store. Eduardo spent in the problem. $183 on 14 Hostas and 5 bunches of ornamental grass. Nicole spent $120 on 7 Hostas and 12 bunches of ornamental grass. Find the cost of one Hosta and the cost of one bunch of ornamental grass. 2) Determine what you are trying to find and define your ℎ = cost of one Hosta variables. 2) 𝑔 = cost of one bunch of ornamental grass 3) Organize the known information. 3) Eduardo: $183 total, 14 Hostas, 5 grass Nicole: $120 total, 7 Hostas, 12 grass 4) Write an equation for both situations. 4) Eduardo: 14ℎ + 5𝑔 = 183 Nicole: 7ℎ + 12𝑔 = 120 5) A system of equations is a set of two or more equations 14ℎ + 5𝑔 = 183 that are somehow related. 5) - 7ℎ + 12𝑔 = 120 6) Solve the system of equations using any method. 6) Now find a combination of Hostas and ornamental grasses that will meet both Eduardo’s and Nicole’s needs.

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