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Bellwork Agenda: 1-Step Inequality WS due Friday (graded)
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Inequalities 7. EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7. EE.4a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. 7. EE.4b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
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Word Phrases Meaning Symbol
An inequality states that two quantities either are not equal or may not be equal. An inequality uses one of the following symbols: ≥ ≤ > < Word Phrases Meaning Symbol is less than Fewer than, below is greater than More than, above is less than or equal to At most, no more than is greater than or equal to At least, no less than
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An inequality may have more than one solution
An inequality may have more than one solution. Together, all of the solutions are called the solution set.
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Bill must roll between a 2 and a 4 to win the dice game
4< x > 2 2 < x < 4 2 > x > 4 4 < x > 2
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a > 5 a ≤ 3 This open circle shows that 5 is not a solution.
If the variable is “greater than or equal to” or “less than or equal to” a number, that number is indicated with a closed circle. This closed circle shows that 3 is a solution. a ≤ 3
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Worksheet Working on your own
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Bellwork COLLECT BELLWORK
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1-step Inequalities 7. EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7. EE.4a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. 7. EE.4b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
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Review
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Graph each inequality. A. n < 3 B. a ≥ –4 –3 –2 –1 0 1 2 3
–3 –2 – B. a ≥ –4 –6 –4 –
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Graph each inequality. A. p ≤ 2 B. e > –2 –3 –2 –1 0 1 2 3
–3 –2 – B. e > –2 –3 –2 –
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Notes
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Solve. Then graph the solution set on a number line.
– –
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Solve. Then graph the solution set on a number line.
d – 12 ≤ –18 – –6 –4 –
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On your own…
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With your elbow buddy…
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Multiplying and Dividing by a NEGATIVE
< flips to > OR ≥ flips to ≤
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Notes
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Solve. c 4 ≤ –4 – –
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Solve. 192< –24b – –
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Word Problem
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Computer lab Bellwork
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Bellwork Agenda: BELLWORK Paper due FRI Inequality WS due Wednesday
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2-step Inequalities 7. EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7. EE.4a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. 7. EE.4b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
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Review
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2-Step Inequality Examples:
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2-Step Inequality Examples:
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You try!
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1. 2. 3. 4.
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5. 6.
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Jigsaw 1 2 3
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question When should you use an equal sign?
When should you use an inequality symbol?
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