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Two-step Equations Real-life Situations
Numbered Heads Together
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Jim has $32 to spend at the grocery store
Jim has $32 to spend at the grocery store. After buying 9 bags of chips, he has $20 left. How much did each bag of chips cost?
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Lauren goes to the exhibition
Lauren goes to the exhibition. She purchased some wooden antiques for $70. She purchases a table for $44 and 2 chairs. Each of the chair costs the same price. Write an equation representing the cost of the antiques and determine the price of one chair
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William had $45 dollars to spend on vegetables
William had $45 dollars to spend on vegetables. After buying 6 watermelons, he had $25.50 left. How much did each watermelon cost?
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Danielle wants to purchase some clothes. He has $75
Danielle wants to purchase some clothes. He has $75. He buys one leather jacket for $39 and 3 pair of socks. Each pair of socks cost the same price. Determine the price of one pair of socks.
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Jason has $90 to spend. He wants to purchase a bag from $30, one eraser for $10, and three pencils. Each of the pencil cost the same price. This will use up all of Jason’s money. Determine the price of pencil.
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Jeremy celebrates his baby’s first birthday party. He has a $100
Jeremy celebrates his baby’s first birthday party. He has a $100. He purchased vanilla cake for $30, one big balloon for $10, and 10 birthday caps. Each of the birthday cap cost the same price. Write an equation representing the total expenditure of party and determine the price of one cap.
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𝑺𝒐𝒍𝒗𝒆. 𝒙 𝟗 +𝟏𝟔=𝟐𝟎
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Mark is buying supplies for his students
Mark is buying supplies for his students. He is buying a notebook (n) and a pack of pencils for each of his 25 students. Each pack of pencils costs $1.25. If Mark's total cost is $156.25, which of the following equations can be used to find how much each notebook cost? Select all that apply. A 25(n) = B (n) + 25 = C 25(n) = D 25(n) = – 31.25
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Which of the following word problems can be solved using the equation 10x – 15 = 60? Select all that apply. A Kit buys 10 packages of batteries. After using a $15 coupon, the batteries cost $60. What was the original price, x, in dollars, of each package of batteries? B Ursula bought 10 calculators at a store and paid $60. Each calculator was on sale for $15 off. What was the original price, x, in dollars, of each calculator? C Siobhan originally has $15. After working as a waiter in a restaurant for $10 an hour, he now has $60. How many hours, x, did Siobhan work at the restaurant? D Gary worked for 10 hours tutoring students at the library. He uses $15 to pay for gas on his way home. If he has $60 left after paying for gas, how much money, x, in dollars, was Gary paid per hour?
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The scale below has 1–ounce weights and weights of x ounces.
Write an equation that represents this situation. Explain your reasoning. Determine the value of x. Explain your reasoning.
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Jeanie buys 4 pairs of jeans at x dollars each and a t–shirt for $5.99. Jeanie states that the total cost, before taxes, of her purchases is $77.95. Determine the value of x that would make Jeanie's statement true and explain your reasoning.
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A small clothing manufacturer has fixed costs of $299 for every batch of shirts that it produces. They also have costs of $3.75 per shirt that they produce. Part A: The total costs for the batch of shirts that the manufacturer just produced was $1739. Write an equation to represent the number of shirts produced (x) in this batch. Part B: The shirts all sold for $9 each. How much money did the clothing manufacturer make on the batch of shirts that it just produced?
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One large family of 9 owns a 239 acre plot of land
One large family of 9 owns a 239 acre plot of land. The parents wish to keep 50 acres of this land and divide the rest up evenly among the 7 children when they turn 18. Part A: Write an equation that shows how many acres (x) each child will receive when they turn 18. Part B: How many acres will each child receive?
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