Midterm Exam 1
Question 1
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Perform the indicated operation/s.
(6 – 9)2 (3 -5)3
Question 2
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Perform the indicated operation/s.
Question 3
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Simplify the algebraic expression
5 – 2[1 – (7x – 5)]
Question 4
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Perform the indicated operation/s.
Question 5
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List all the rational numbers in this set.
Question 6
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-6 is a solution of the equation below:
Question 7
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Used the distributive property to rewrite without parentheses: 8(6x – 1 + 3y)
Question 8
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Translate from English to an algebraic expression or equation. Use the variable x to represent the number.
Seven subtracted from the product of 8 and 3 less than a number
Question 9
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Simplify the algebraic expression.
10(6x – 9y) – (3x – 6y)
Question 10
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What is the difference in elevation between a plane flying 17,500 feet above sea level and a submarine traveling 560 feet below sea level?
Question 11
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In one state, speeding fines are determined by the formula F = 6(x – 60) + 75, where F is the cost, in dollars, of the fine is a person is caught driving x miles per hour. If the fine comes to $129, how fast was the person driving?
Question 12
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Sales at a local ice cream shop went up 30% in 5 years. If 18,000 ice cream cones were sold in the current year, find the number of ice cream cones sold 5 years ago.
Question 13
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What will it cost to cover a rectangular floor measuring 90 feet by 70 feet with square tiles that measure 3 feet on each side if a box of 10 tiles costs $16 per box?
Question 14
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Claire received scores of 85, 88, 87 and 75 on her algebra tests. What score must she receive on the fifth test to have an overall test score average of at least 83?
Question 15
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The length of a rectangle is 32 feet. For what widths is the perimeter less than 82 feet?
Question 16
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Find the area of the figure:
Question 17
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Find the volume of the figure. Where applicable, express your answer in terms of π.
Question 18
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Express the solution set of the inequality in interval notation and graph the interval.
Question 19
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The image above shows the solution set and graph of the inequality below:
Question 20
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Solve:
A sailboat has a triangular sail with an area of 144 square feet and a base that measures 12 feet. Find the height of the sail.