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Transcript
1.4 Warm Up Evaluate each expression. 1. 9 – 3(-2) 2. 3(-5 + 7) 3 (7) 12 3. 12 4. 26 – 4(7 – 5) Simplify each expression. 5. 10c + c 6. 8.2b + 3.8b – 12b 7. 6x – (2x + 5) 1.4 Solving Multi-Step Equations To isolate the variable, simplify each side if applicable, and then undo the operations. Ex. 1 Multistep… a. 2 x 9 -3 3 b. x 54 2 c. 12x 4x 8 32 d. 4x + 2(x + 4) = 20 e. 10x – 3(x – 4) = 22 Ex 2. Multiplying by a Reciprocal First 2 22 ( x 2) a. 3 7 ( x 3) 14 b. 5 Ex 3. Problem Solving Application Alex belongs to a music club. In this club, students can buy a student discount card for $19.95. This card allows them to buy CDs for $3.95 each. After one year, Alex has spent $63.40. Write and solve an equation to find out how many CDs Alex bought during the year. Ex 4. Consecutive Integer Problems 1) The sum of 3 consecutive integers is 54. Write an equation and find the integers. 2) The sum of 3 consecutive odd integers is 99. Write an equation and find the integers. Name: ________________________________ Algebra I Intermediate 1. Date: _______________________ 1.4 Real-Life/Consecutive Int. Probs HYPOTHERMIA - A body temperature of 95˚F or lower may indicate the medical condition called hypothermia. What temperature in the Celsius scale may indicate hypothermia? 9 F C 32 5 2. SCIENCE CONNECTION - The temperature within the earth’s crust increases about 30˚C for each kilometer of depth beneath the surface. If the temperature at the Earth’s surface is 24˚C, at what depth would expect the temperature to be 114˚C? 3. The sum of two consecutive integers is 65. Find the integers. 4. The sum of three consecutive odd integers is 249. Find the integers. 5. The sum of three consecutive even integers is 456. Find the integers. 6. The sum of 3 consecutive integers is 876. Find the integers. 7. The sum of 3 consecutive even integers is -48. Find the integers. 8. The sum of 3 integers is 92. The second integer is one more than two times the first integer. The third integer is 11 less than 3 times the first integer. Find the integers. 9. There are three consecutive even integers. Half the sum of the second and third numbers is 35. What are the integers?