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Select all expressions that are equivalent to 
5x+2-(3x-1)
a. 
5x+1-3x-7 b. 
5x+-3x+2+1
c. 
2x+3
c. 
2x+3
d. 
5x-3x+2-1 e. 
5x+2+-3x--1
4.) 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.
On the number line, show all the values of 
t that make your inequality true.
a. Expand to write an equivalent expression: 
-(1)/(4)(-12 x+16 y)

Factor to write an equivalent expression: 
24 x-8

33. Select all expressions that are equivalent to 5x+2(3x1) 5 x+2-(3 x-1) \newlinea. 5x+13x7 5 x+1-3 x-7 b. 5x+3x+2+1 5 x+-3 x+2+1 \newlinec. 2x+3 2 x+3 \newlinec. 2x+3 2 x+3 \newlined. 5x3x+21 5 x-3 x+2-1 e. 5x+2+3x1 5 x+2+-3 x--1 \newline44.) At midnight, the temperature in a city was 22 degrees Celsius. The temperature was dropping at a steady rate of 44 degrees Celsius per hour.\newlinea. Write an inequality that represents t t , the number of hours past midnight, when the temperature was colder than 10-10 degrees Celsius.\newline66. On the number line, show all the values of t t that make your inequality true.\newlinea. Expand to write an equivalent expression: 14(12x+16y) -\frac{1}{4}(-12 x+16 y) \newlineFactor to write an equivalent expression: 5x+13x7 5 x+1-3 x-7 00

Full solution

Q. 33. Select all expressions that are equivalent to 5x+2(3x1) 5 x+2-(3 x-1) \newlinea. 5x+13x7 5 x+1-3 x-7 b. 5x+3x+2+1 5 x+-3 x+2+1 \newlinec. 2x+3 2 x+3 \newlinec. 2x+3 2 x+3 \newlined. 5x3x+21 5 x-3 x+2-1 e. 5x+2+3x1 5 x+2+-3 x--1 \newline44.) At midnight, the temperature in a city was 22 degrees Celsius. The temperature was dropping at a steady rate of 44 degrees Celsius per hour.\newlinea. Write an inequality that represents t t , the number of hours past midnight, when the temperature was colder than 10-10 degrees Celsius.\newline66. On the number line, show all the values of t t that make your inequality true.\newlinea. Expand to write an equivalent expression: 14(12x+16y) -\frac{1}{4}(-12 x+16 y) \newlineFactor to write an equivalent expression: 5x+13x7 5 x+1-3 x-7 00
  1. Simplify Expression: Simplify the original expression 5x+2(3x1)5x + 2 - (3x - 1). Distribute the negative sign through the parentheses: 5x+23x+15x + 2 - 3x + 1. Combine like terms: (5x3x)+(2+1)=2x+3(5x - 3x) + (2 + 1) = 2x + 3.
  2. Distribute and Combine: Compare each choice to the simplified expression 2x+32x + 3:\newlinea. 5x+13x7=2x65x + 1 - 3x - 7 = 2x - 6 (not equivalent),\newlineb. 5x+(3x)+2+1=2x+35x + (-3x) + 2 + 1 = 2x + 3 (equivalent),\newlinec. 2x+32x + 3 (equivalent),\newlined. 5x3x+21=2x+15x - 3x + 2 - 1 = 2x + 1 (not equivalent),\newlinee. 5x+2+(3x)(1)=2x+35x + 2 + (-3x) - (-1) = 2x + 3 (equivalent).

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