St. Augustine Preparatory School August 12 Lecture Algebra II (Honors) St. Augustine Preparatory School August 12 Lecture

Tomorrow’s Test 4 multiple choice questions (1 mark each) 4 short answer questions (question 4 has part a and b) that make up 14 marks. Topics covered (1.2-1.5, not 1.6): Equations that are true always, sometimes, or never Classification of real numbers (rational, irrational, etc.) Inequalities (creating, compound inequalities) Creating algebraic formulas for problems Simplifying and then solving an equation given values for the variables (if h = 4 and g = 3, what is x)

Inequalities Inequalities can be always, never, and sometimes true How to tell? - Solve the inequality. If the x terms do not cancel out, the inequality is sometimes true. If the x terms do cancel out and the remaining statement is true (8<12), the inequality is always true. If it is false (12<8), the inequality is always false

Solving inequalities *Don’t forget with inequalities, when you divide by a negative number, you flip the inequality -3x+7 > 28 -3x>21 x<-7

Examples 5(x-2) > 2x + 1 6x + 1 < 3(2x-4) 2(3x+3) > 2(3x+1)

Compound Inequalities You can have inequalities that have either and or or written between them Example (graph each): 7<2x+1 and 3x < 18 7+k>6 or 8+k < 3

Review Questions Mark and Steve live in opposite directions from each other. Mark heads north 3 times faster than Steve heads south. If they’re 160km apart after 1 hour, how fast are they both moving?

Review question Rearrange the following to solve for x: a(x + 3c) = 4 + 3a If a=4 and c=2, what is the value of x?

Practice Questions Page 53: 4, 7, 11, 20,