Explain why you should simplify both sides of an equation as much as possible before collecting the variable terms to one side and the constant terms to the other side.

Q: I am working with a problem that says there is "seven more than the sum of the quarters and dimes is…

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Q: Chloe has just opened a dog washing service, she charges depending on whether the dog is large (over…

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Q: Given a map that indicates that 1 inch on the map corresponds to 2000 ft in real life, we've come up…

A: A map indicating that 1 inch on the map corresponds to 2000 ft in real life resulting to an equation…

Q: 14 114 Fiona's mom makes gallon of raspberry lemonade for Fiona and her 3 friends for a picnic…

A: We answer the following by counting number of friends.

Q: 1. Write an eguivalent equation for 15x + 10(14 – x) = 125. Equivalent Equation: 2. Solve your new…

A: Equivalent equations are algebraic equations that have identical solutions or roots. Adding ,…

Q: Paolo can mow the lawn at his family's home in 2 hours. His younger sister Roberta needs 3 hours to…

A: We have, Paolo can mow the lawn at his family's home in 2 hours. His younger sister Roberta needs 3…

Q: sides. There are two long sides and one shorter side parallel to the house, and he needs 267 feet…

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Q: While on vacation, Patty and her family visit Mount Rushmore in South Dakota. They watch a movie in…

A: We have to find total amount of time

Q: Does the equation 10m= 50n have any non-zero integer solutions? Justify your answer.

A: Given: Equation is  10m= 50n

Q: If 6x + y = 5 is a true equation, what would be the value of -9+ 6x + y?

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Q: The length of a rectangular sign is 6 inches more than half its width. The area of this sign is 432…

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Q: Lisa has a certain amount of money. She spent $39 and has 3/4 of the original amount left. How much…

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Q: Solve this equation to get the value of x 516=257x-11

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Q: Mary is one year older than john and their ages add up to 15.Form a pair of equations and solve them…

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Q: (MAB + MBA) 15 (MCD + MDC) 10 2MAB + 2MBA + 3MCD + 3MDC 8=0 - 240

A: We need to simplify the given equation and obtain the equation given in second line.

Q: A landscaping company is delivering crushed stone to a construction site.  The table shows the total…

A: Given We have to take two points (0,0) ,  (1,3000)

Q: set up an equation, and solve the problem. It takes Meredith 7 hours to clean an office building,…

A: Meredith takes  7 hours to clean an office building, Otis can clean the same office building in 5…

Q: Marcus Wells found that a 2-liter (67.6 ounces) bottle of soda has a unit price that is $0.005 more…

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Q: The sum of two angle measures is 110 degrees. The larger angle is 10 degrees less than twice the…

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Q: The distance, d, that a certain car is from Math City after h hours, can be determined by the…

A: Given,           The distance, d, that a certain car is from Math City after h hours, can be…

Q: Julio's car can travel 300 miles on one 12-galion tank of gas. Viet's car uses gas as described by…

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Q: Chris is solving the following equation: 2/3x + 5/2 = 8x - 1/2 Which could be a correct next step…

A: Given:23x+52=8x-12

Q: The parentheses in the seconds part of the equation are given. Add any parentheses needed in the…

A: Solution : We have to insert parenthesis appropriately so that following is always true. 8 + 2 × 3…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.