3. Select all expressions that are equivalent to 5x+2−(3x−1)a. 5x+1−3x−7 b. 5x+−3x+2+1c. 2x+3c. 2x+3d. 5x−3x+2−1 e. 5x+2+−3x−−14.) At midnight, the temperature in a city was 2 degrees Celsius. The temperature was dropping at a steady rate of 4 degrees Celsius per hour.a. Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than −10 degrees Celsius.6. On the number line, show all the values of t that make your inequality true.a. Expand to write an equivalent expression: −41(−12x+16y)Factor to write an equivalent expression: 5x+1−3x−70
Q. 3. Select all expressions that are equivalent to 5x+2−(3x−1)a. 5x+1−3x−7 b. 5x+−3x+2+1c. 2x+3c. 2x+3d. 5x−3x+2−1 e. 5x+2+−3x−−14.) At midnight, the temperature in a city was 2 degrees Celsius. The temperature was dropping at a steady rate of 4 degrees Celsius per hour.a. Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than −10 degrees Celsius.6. On the number line, show all the values of t that make your inequality true.a. Expand to write an equivalent expression: −41(−12x+16y)Factor to write an equivalent expression: 5x+1−3x−70
Simplify Expression: Simplify the original expression 5x+2−(3x−1). Distribute the negative sign through the parentheses: 5x+2−3x+1. Combine like terms: (5x−3x)+(2+1)=2x+3.
Distribute and Combine: Compare each choice to the simplified expression 2x+3:a. 5x+1−3x−7=2x−6 (not equivalent),b. 5x+(−3x)+2+1=2x+3 (equivalent),c. 2x+3 (equivalent),d. 5x−3x+2−1=2x+1 (not equivalent),e. 5x+2+(−3x)−(−1)=2x+3 (equivalent).
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