Question

The length of a rectangle is four meters less than twice its width. If the area of the rectangle is 96 m^2, what is the length and the width?
Answer
An expression for the length of the rectangle in terms of the width would be ______
Answer
3. Match the equation with its solution(s).(5 points)

3i+2i−7=18
3i+5=2i−7
3(2i−7)=15
3(2i+7)=6i+21
3i+5=3i+7
Answer
Solve the equation justifying each step with the correct reasoning.

2(x+8)=2x+8
(5 points)
Answer
5. Match the description of the one variable equation with the number of solutions it will have.(4 points)


x−7=7−x
3(x+5)=3x+5
10−x=25
2(x+4)=2x+5+3
Answer
6. A student wants to purchase some new school supplies. He wants to buy a calculator that costs $24 and some notebooks for school. Each notebook costs $2. The student only has $37 to spend.

Let n represent the number of notebooks that he buys.

Which inequality describes this scenario?



24n+2≥37

37>2n+24

37<2n+24

37≥2n+24
Answer
Solve for b in the following equation: A=1/2(a+b)
Answer
Grandma is removing weeds from her garden. She estimates that there are 250 weeds in the garden at the moment, and she can remove weeds at a rate of 5 per minute. At this rate, how many minutes will it take her to only have 30 weeds remaining in the garden?(3 points)
Answer
Part A: Solve the equation for x showing all steps for credit: ax−5=18
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