Exam 3: Equations, Inequalities and Problem Solving

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Use the properties of equality to solve the equation. 5.94 = 2.2 m Please express your answer as a decimal.

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For the following problem, solve the inequality. -6 x > 24 Please enter your answer as an interval.

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The multiplication-division property is always used before the addition-subtraction property.

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Solve the inequality. 118x+11+8x11 \leq - 8 x + 11 + 8 x

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Tickets for a concert were priced at $6 for students and $8 for nonstudents. There were 1,350 tickets sold for a total of $8,734. How many student tickets were sold?

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The plans for an apartment complex provided for 440 apartments, with each apartment having one, two, or three bedrooms. There were to be 30 more three-bedroom than one-bedroom apartments, and the number of two-bedroom apartments was to be 10 less than 3 times the number of one-bedroom apartments. How many apartments of each type were in the plans?

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Suppose that a triangular lot is enclosed with 67 yards of fencing (see the picture). The longest side of the lot is 3 yards longer than 3 times the length of the shortest side. The other side is 19 yards longer than the shortest side. Find the lengths of the three sides of the lot. Suppose that a triangular lot is enclosed with 67 yards of fencing (see the picture). The longest side of the lot is 3 yards longer than 3 times the length of the shortest side. The other side is 19 yards longer than the shortest side. Find the lengths of the three sides of the lot.   Please enter your answer as three numbers, listed from least to greatest, separated by commas. Please enter your answer as three numbers, listed from least to greatest, separated by commas.

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The textbook for a biology class cost $14 more than twice the cost of a used textbook for college algebra. If the cost of the two books together is $128, find the cost of the biology book.

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For the following problem, solve the inequality. 11 x

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Solve the equation. 4 t + 3 = 15

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Solve the inequality. 2(z+6)202 ( z + 6 ) \geq 20

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Solve the equation. 3 y - 14 = 7

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Use the properties of equality to solve the equation. a3=19\frac { a } { 3 } = 19

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Suppose that a triangular lot is enclosed with 64 yards of fencing (see the picture). The longest side of the lot is 6 yards longer than 5 times the length of the shortest side. The other side is 23 yards longer than the shortest side. Find the lengths of the three sides of the lot. Suppose that a triangular lot is enclosed with 64 yards of fencing (see the picture). The longest side of the lot is 6 yards longer than 5 times the length of the shortest side. The other side is 23 yards longer than the shortest side. Find the lengths of the three sides of the lot.

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Solve the equation. 12(16t+80)=16(12t+60)12 ( 16 t + 80 ) = 16 ( 12 t + 60 )

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For the following problem, solve the inequality. 10x81210 x - 8 \leq 12 Please enter your answer as an interval.

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Use the properties of equality to solve the equation. 13 = m - 15

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Solve the inequality. 87x+11+7x8 \leq - 7 x + 11 + 7 x Write your answer as an interval.

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Use the properties of equality to solve the equation. 7.56 = 2.1 t

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For the following problem, solve the inequality. 19>20x+3919 > 20 x + 39 Please enter your answer as an interval.

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