Bell Ringer 11 January 2016 Evaluate |2x + 3| + |5 – 3x|for x = -3

1 – 3 Solving Equations

Solve 13y + 48 = 8y - 47 Equations with variables on both sides

Practice 8x + 12 = 5x - 21

Practice 2x – 3 = 9 – 4x

Using the Distributive Property 3x – 7(2x – 13) = 3(-2x + 9)

Practice 2(y – 3) + 6 = 70

Practice 6(x – 2) = 2(9 – 2x)

Solving a Formula for One of it’s Variables Solve the formula for the area of a trapezoid for h: A = ½ h (b 1 + b 2 )

Solve the same equation for b 1 A = ½ h (b 1 + b 2 )

Pop Quiz Clear your desk! You need a pencil. Calculators are allowed. When done, please flip over your pop quiz and wait quietly until I have collected it from every student. I will announce when this occurs. Do NOT pack up for the day unless directed to do so.

1 – 4 Solving Inequalities

Solving an Graphing Inequalities 3x – 12 < 3

Practice 6 + 5(2 – x) < 41

Practice 12 > 2(3x + 1) + 22

Special Cases Solve each inequality and graph the solution. 2x – 3 > 2(x – 5)

Special Cases Solve each inequality and graph the solution. 7x + 6 < 7(x – 4)

Real World Connection Revenue: The band shown at the left agrees to play for $200 plus 25% of the ticket sales. Find the ticket sales needed for the band to receive at least $500. Write an inequality and solve:

Practice A salesperson earns a salary of $700 per month plus 2% of the sales. What must the sales be if the salesperson is to have a monthly income of at least $1800?

Compound Inequalities (AND) A compound inequality is a pair of inequalities joined by AND or Or. Example: 3x – 1 > -28 and 2x + 7 < 19

Practice (AND) 2x > x + 6 and x – 7 < 2

Compound Inequalities (OR) 4y – 2 > 14 or 3y – 4 < -13

1 – 5 Absolute Value Equations and Inequalities

The absolute value of a number is its distance from zero on the number line and distance is nonnegative. Example: |2x – 4| = 12

Practice |3x + 2|= 7

Solving Multi-Step AV Equations 3|4x – 1| - 5 = 10

Practice 2|3x – 1| + 5 = 33

Practice |2x + 7| = -2

An extraneous solution is a solution of an equation derived from an original equation that is not a solution of the original equation

Checking for extraneous Solutions |2x + 5| = 3x + 4 Solve like normal Check your answers

Practice |2x + 3| = 3x + 2

Solving Absolute Value Inequalities Solve |3x + 6| > 12. Graph the solution.

Practice Solve 3|2x + 6| - 9 < 15. Graph the solution.

Practice Solve |5x + 3| - 7 < 34. Graph the solution.

The End of Chapter 1