1.4 Write Equations and Inequalities Objective: Translate verbal sentences into equations or inequalities.

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Verbal Expressions for =

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Presentation transcript:

1.4 Write Equations and Inequalities Objective: Translate verbal sentences into equations or inequalities

Lingo Equation: a math sentence formed by placing an = sign in between 2 expressions. Inequality: like an equation, but instead of an = sign, it uses a, ≤, or ≥.

Associated Words Just like with addition, subtraction, multiplication, and division, equations and inequalities also have associated words. = < > ≥ ≤

Using Inequalities and Equations The difference of three times a number x and 2 is 5. The product of 3 and t is less than 12. The sum of 7 and twice a number t is at least 21.

Using Equations and Inequalities The sum of 42 and a number n is 51 The product of 4 and a number w is at most 51 The difference of a number t and 7 is greater than 10 and less than 20.

Solutions A solution is what makes a statement true x + 3 = 5. x = 2 is a solution. Check: (2) + 3 = 5 5 = 5

Example Check whether 5 is a solution of the equation or inequality. 24 – 3d = 9 3x + 4 = 18 2w – 7 ≤ p > 19

Review What does it mean for something to be a solution? What are key words for < > ≤ ≥ Worksheet

Example 4 (in book) The last time you and 3 friends went to a mountain bike park, you had a coupon for $10 off and paid $17 for 4 tickets. What is the regular price for 4 tickets? Write a verbal model before solving. If you pay the regular price this time and share it equally, how much does each person pay?

Example 4 continued… Suppose the price of 4 tickets with a half-off coupon is $15. What is each person’s share if you pay full price?

Example 5 (in book) A basketball player scored 351 points last year. If the player plays 18 games this year, will an average of 20 points per game be enough to beat last year’s total? Write a verbal model to represent the situation, then check for a solution.

Example 5 continued Suppose the player plays 16 games. Would an average of 22 points per game be enough to beat last year’s total?

Write your own inequality or equation statement Take out a sheet of scratch paper and write two verbal inequality statements on one side and what you believe to be their equivalent inequality on the other side.

Homework Pg : Worksheet + 6, 8, 10, even, 40, 42, 46 Bonus 47,48