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Understanding Equations and Ratios: Math Lesson Insights

Learn how to determine the value of x in equations and solve ratio problems in this informative math lesson. Discover useful tips and tricks to tackle mathematical challenges effortlessly.

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Understanding Equations and Ratios: Math Lesson Insights

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  1. Grade Lesson 13 part 2

  2. without solving the equation, tell what you know about the value of x in the equation If you divide each side of an equation by the same nonzero number, the two sides remain equal. If you multiply each side of an equation by the same number, the two sides remain equal. Something like: x is greater than 300.

  3. The quotient of a number and 7 is -14. Josh charges $15 to mow an average size lawn in his neighborhood. How many lawns does he need to mow to earn $600? When you multiply a number by -3, the result is 39. An African elephant can eat 500 pounds of vegetation per day. How many days will a 3000 pound supply last for one elephant? The base B of a triangular prism has an area of 24 square inches. If the volume V of a prism is 216 cubic inches, use the formula V = Bh to find the height of the prism in inches. Luis ran 2.5 times the distance that Mark ran. If Mark ran 3 miles, which equation can be used to find the distance d in miles that Luis ran? A) d = 2.5 + 3 B) d + 2.5 = 3 C) d = 2.5(3) D) 2.5d = 3

  4. Lesson 14 • Notes

  5. Objective: Unit Rates ratio A __________ is a comparison of two numbers by division. Since a ratio can be written as a fraction it can be _____________. simplified rate A ________ is a ratio that compares two quantities with different types of units. 15 boys to 30 girls 4 candy bars for $2

  6. John paid $40 for 5 pizzas. How much did John pay for each pizza? A _______________ is a rate with a denominator of one. Express the rate as a unit rate. $132 in 3 hours 142 miles on 10 gallons unit rate

  7. Express the ratio in simplest form. 6 inches out of 18 feet $35 for 15 dozen cookies

  8. Express the rate as a unit rate. 11,025 tickets for 9 days $2.10 for 6 cans

  9. Which is the better buy? 17 oz box of cereal for $4.89 or 21 oz box of cereal for $5.69

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