Illustrative Math - Algebra 1 - Unit 2- Lesson 19

Here is an inequality: \frac{7x+6}{2}\leq3x+2Select all of the values that are a solution to the inequality.

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Noah is solving the inequality 7x+5>2x+35. First, he solves the equation 7x+5=2x+35 and gets x=6.How does the solution to the equation 7x+5=2x+35 help Noah solve the inequality 7x+5>2x+35?Explain your reasoning.

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Solve this system of linear equations without graphing:

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How many solutions does this system of equations have? Explain how you know.

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The principal of a school is hosting a small luncheon for her staff. She plans to prepare two sandwiches for each person. Some staff members offer to bring salads and beverages.The principal has a budget of $225 and expects at least 16 people to attend. Sandwiches cost $3 each.Select all of the equations and inequalities that could represent the constraints in the situation, where n is number of people attending and s is number of sandwiches.

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7.EE.4.b

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