1.4: Write Equations and Inequalities

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1.4: Write Equations and Inequalities Warm-up Grab a calculator Spend 4 minutes studying looking over notes for the quiz Today Quiz Grade homework Notes 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Do NOW Write an expression for the phrase: 4 times the difference of 6 and the number y The temperature was –4°F in the morning and rose to 10°F by noon. What is the temperature at noon? Solve –1/4(–8)(–2x) when x=3 Solve (5/8) ÷ (–35/24) 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Page 18 4) x + 8 6) 50/h 8) 15 + x 10) p2 – 3 12) 3w + 5 14) C 16) 5 – p 18) 20 + j 20) m/60 32) 98g; 1960 tons 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Page 122 14) –10 16) –5.4 18) 7/60 20) –11 22) –8.6 24) –4/3 or –1 1/3 26) –8 28) –3.4 30) 60 32) –28y 34) –20z 36) 15 38) 67/22 or 3 1/22 40) 1/4 42) C = –2p + 130; $122 44) –26 46) 347 m 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

WRITE EQUATIONS & INEQUALITIES Section 1.4

1.4: Write Equations and Inequalities Example 1 The difference of a number x and 11 is equal to 35. Write the equation and solve. 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Example 2 The sum of 12 and the quantity 8 times a number k is equal to 48. Write the equation and solve. 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Your Turn The product of 9 and the quantity 5 more than a number x is 18. Write the equation and solve. 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Review Little Suzy pays $0.05 for every text message she sends. Write an expression that represents how much money he spends on text messages. 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Example 3 Little Suzy pays $0.05 for every text message she sends. Last month, her bill for text messaging was $25. Write an equation that represents how many text messages did Little Suzy send last month? 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Your Turn Little Johnny has a job at Taco Bell. He puts $25 into his savings account every week. If he had $75 in the account before he began working, write an equation that could be used to determine how many weeks, w, it would take him to have $500 in his account? 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

What do these signs mean? > Greater than, more than Greater than OR equal to; At least; No less than ≥ < Less than, fewer than Less than OR equal to; At most; No more than ≤ 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Inequalities Steps X typically comes first or is in the middle of the compound > represents greater than; more than > represents greater than or equal to; at least; no less than < represents less than; fewer than < represents less than or equal to; at most; or no more than Don’t forget to label 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Example 4 Check whether 4 is a solution to 2x + 5 > 12. 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Example 5 Check whether 3 is a solution to 2x + 5 > 12. 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Your Turn Check whether 3 is a solution to 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Example 6 Write an inequality of the quotient of a number x and 12 is fewer than 30 and solve. 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Example 7 This season, Little Bobby has 125 at-bats in baseball. By the end of the season, he wants to have at least 140 at-bats. How many more at-bats does he need to reach her goal? Write the equation and solve. 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Your Turn Little Johnny’s older brother works at American Eagle and earns $275 per week plus a 4% commission. He desperately wants a new stereo for his car that costs $395. Not including taxes, what is the minimum he would have to sell to earn enough money for the stereo? 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities

1.4: Write Equations and Inequalities Assignment Page 24 3-8 all, 12-16 all, 18-28 even, 40 3-8: Write and SOLVE the equation/inequality 5/21/2019 6:41 PM 1.4: Write Equations and Inequalities