Algebra II Honors St Augustine Preparatory School August
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 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 -3 x+7 > 28 -3 x>21 x<-7
Examples 1) 5(x-2) > 2 x + 1 2) 6 x + 1 < 3(2 x-4) 3) 2(3 x+3) > 2(3 x+1)
Compound Inequalities • You can have inequalities that have either and or or written between them • Example (graph each): 7<2 x+1 and 3 x < 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 160 km apart after 1 hour, how fast are they both moving?
Review question • Rearrange the following to solve for x: a(x + 3 c) = 4 + 3 a If a=4 and c=2, what is the value of x?
Practice Questions • Page 53: 4, 7, 11, 20,
- Slides: 9