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Questions in Grade Middle-school

[Open]Solve the multi-step equation: \[ 6(2x - 8) + 3 = 15 \]

[Open]Give three solutions of the inequality [tex]5x - 2 > 7[/tex].

[Open]A baseball must weigh not less than 5 ounces nor more than 5.25 ounces. A. A baseball weighs 5.41 ounces. How much heavier than the maximum weight is this? B. A baseball weighs 4.37 ounces. How much lighter than the minimum weight is this? Please show your work.

[Open]The table shows the number of points scored by three players in last night's basketball game. If Ray and Bill scored the same number of points, how many did John score? | Player | Points | |--------|-----------| | John | [tex]x[/tex] | | Ray | [tex]3x - 6[/tex] | | Bill | [tex]4x - 10[/tex] | Given that Ray and Bill scored the same number of points: \[ 3x - 6 = 4x - 10 \] Solve for [tex]x[/tex] to determine John's score.

[Open]A pint is 16 ounces and costs $3.98. A quart is 32 ounces and costs $5.98. What is the unit rate, to the nearest cent per ounce, for each?

[Open]A book distributor is trying to divide an order of textbooks into equally sized groups for shipping in cartons. The textbooks can be divided into groups of 12, groups of 15, or groups of 18, with no books left over. Which of the following inequalities is satisfied if \( N \) is the smallest possible total number of textbooks? A. \( 100 < N < 150 \) B. \( 150 < N < 200 \) C. \( 200 < N < 250 \) D. \( 250 < N < 300 \)

[Open]You are ordering a meal and have $15 to spend. The restaurant charges a 6% sales tax, and you plan to leave a 15% tip. The equation \( c = x + 0.06x + 0.15x \) gives the total cost \( c \) of your meal, where \( x \) is the cost before tax and tip. What is the maximum amount you can spend before tax and tip?

[Open]For each recipe, write a ratio that compares the number of parts of apple cider to the total parts in the recipe. Rebecca's recipe: 8 parts apple cider, 6 parts ginger ale Brian's recipe: 4 parts apple cider, 5 parts ginger ale

[Open]What were the two most important results of the European voyages to the Americas?

[Open]The ratio of floor seats to balcony seats in a theater is 20:1. Does this theater have more floor seats or more balcony seats? How do you know?