Teacher's Resource Sample Chapter 9 BLM - McGraw-Hill

Chapter 9 Warm-Up.…BLM 9–3.…Copyright © McGraw-Hill Ryerson, 2008

Name: ________________________________Date: ________________________Chapter 9 Problems of the Week.…BLM 9–4.…1. For what value(s) of x is 1 >1xtrue? Express your answer as aninequality. Explain your thinking.2. Given that a, b, and c are wholenumbers, if a < b, is ac < bcalways true? Explain.3. Consider the following pattern:Daniel fills a hole with sand. Hestarts with a pail that contains10 kg of sand. The next pail has5 kg of sand, the next pail has2.5 kg, and so on, to an infinitenumber of pails. At what point willthe hole contain > 20 kg of sand?Explain your thinking.4. Write the mathematicalstatements. Then, solve for x.a) The opposite of four multipliedby x then decreased by twoand-one-halfis less than orequal to the opposite of ten.b) Twice x increased by three isless than one half decreasedby x.c) Negative five times x increasedby three-and-one-half is equalto the opposite of x increased bythirteen-and-one-half.5. If x > 7, and y < 9, and z ≤ 8, what is the inequality that expressesx = y = z? Express your answer using a number line.Copyright © McGraw-Hill Ryerson, 2008

Name: ________________________________Date: ________________________.…BLM 9–5.…(continued)For #3 to #6, fill in the missing information.a) Represent the inequality verbally using a real-life context.b) Represent the inequality graphically.c) Represent the inequality algebraically.a) Verbally b) Graphically c) AlgebraicallyExample:The height of arocket that islaunched 1 mbelow sea levelh ≥ –1, where h isthe height of therocket3. The temperaturebelow –4 ºC4. 2 ≥ x5.6. 0 ≤ x ≤ 5Copyright © McGraw-Hill Ryerson, 2008

Name: ________________________________Date: ________________________Section 9.1 Math Link.…BLM 9–6.…This worksheet will help you with the Math Link on page 15.For safety reasons, some amusement park rides have age and height restrictionsfor riders.1. Choose an amusement park ride you have seen or design one of your own.a) State the name of the ride. _____________________________________b) Describe the ride. _______________________________________________________________________________________________________________________________________________________________________2. For your ride, consider the safety restrictions or conditions that you mightimpose on riders. Use the chart to record your answers.• In column 1, list at least three restrictions verbally using terms of yourchoice. You might choose from terms such as height, age, and weight.• In column 2, represent each restriction algebraically using a differentvariable for each. Example: a as a variable for ageVerballyAlgebraicallyExample: Less than 12 years of age a < 12a)b)c)d)3. Sketch a sign using words and graphics that clearly informs riders about eachof your restrictions in #2.Copyright © McGraw-Hill Ryerson, 2008