MM212 Welcome to Unit 3 Seminar Topics: Solving Equations Translating English into Algebra Solving Inequalities.

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Presentation transcript:

MM212 Welcome to Unit 3 Seminar Topics: Solving Equations Translating English into Algebra Solving Inequalities

Solving Equations Solve for x: 18 – 3 = 16x – 4x + 12

Solving Equations Solve for x: 3(2z – 3) – 3 = 3z – 2(2z – 1)

Solving Equations with Fractions Solve for x:

Solving Equations with Fractions Solve for x:

Solving Equations with Decimals Solve for x: 0.4(x-6) = 0.7(2x+3) + 0.5

Translating Verbal to Algebraic Words for Addition

Translating Verbal to Algebraic Words for Subtraction

Translating Verbal to Algebraic Words for Multiplication

Translating Verbal to Algebraic Words for Division

Translating Verbal to Algebraic Words for Equality

Practice with Translating 1. seven greater than a number (1) _______________ 2. a value increased by 12 (2) _______________ 3. eighteen fewer than a quantity (3) _______________ 4. one-seventh of a quantity (4) _______________ 5. one-fourth of a number, decreased by one (5) _______________ 6. four more than half of a number (6) _______________ 7. sixteen less than three times a number (7) _______________ 8. ten more than twice a number (8) _______________ 9. one-half of the sum of a number and two (9) _______________ 10. the sum of a number and two divided by five (10) _______________

Practice with Translating A recent survey on campus revealed that the number of business majors was forty more than the number of nursing students. The number of criminal justice majors was 14 more than two-thirds the number of nursing students. Patricia owns 17 more comic books than Scott, Walter owns three times as many as Scott, and Adrienne owns five fewer than four times as many as Scott.

Practice with Translating The sum of a number, one-fifth of that number, and twice that number is forty-eight. What is the original number?

Inequalities Replace the ? With

Inequalities on a Number line Draw each of the following on a number line: 1.X > 6 2. X < - 3

Solving Inequalities Solve for x and graph the result: x + 4 < 22

Solving Inequalities Solve for x and graph the result: 7x + 5 > 4x + 23

Solving Inequalities Solve for x and graph the result: 6x + 24 < 10x – 8