MM212Welcome to Unit 3 Seminar

Topics:Solving Equations

Translating English into AlgebraSolving Inequalities

Solving EquationsSolve for x:

18 – 3 = 16x – 4x + 12

Solving EquationsSolve for x:

3(2z – 3) – 3 = 3z – 2(2z – 1)

Solving Equations with Fractions• Solve for x:

Solving Equations with FractionsSolve for x:

Solving Equations with DecimalsSolve 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 businessmajors was forty more than the number of nursing students. Thenumber of criminal justice majors was 14 more than two-thirdsthe number of nursing students.

Patricia owns 17 more comic books than Scott, Walter ownsthree times as many as Scott, and Adrienne owns five fewer thanfour 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 < or >

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