Exam 9: Equations, Inequalities, and Problem Solving

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Solve the problem. -Mary and her brother John collect foreign coins. Mary has twice the number of coins that John has. Together they have 90 foreign coins. Find how many coins Mary has.

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Solve the equation. -0.05(9x - 4)= 0.45(x + 7)- 3.35

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Write the algebraic expression described. -If x is the first of three consecutive integers, express the sum of 36 and the third integer as an algebraic expression in terms of x.

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Solve the equation. - f3\frac { \mathrm { f } } { 3 } - 5 = 1

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Solve. -A certain vehicle has a weight limit for all passengers and cargo of 1233 pounds. The four passengers in the vehicle weigh an average of 175 pounds. Use an inequality to find the maximum weight of the cargo that the Vehicle can handle.

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Solve. -Nine times a number, added to 42, is 96. Find the number.

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Solve. -Use the formula C = 59\frac { 5 } { 9 } (F(F - 32)to write 95° F as degrees Celsius.

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Solve the equation. - n3=12\frac { \mathrm { n } } { 3 } = 12

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Solve the problem. -Two angles are complementary if their sum is 90°. If the measure of the first angle is x°, and the measure of the second angle is (3x - 2)°, find the measure of each angle.

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Solve. -Attendance this year at the homecoming football game is 133% of what it was last year. If last year's homecoming football game attendance was 28,000, what is this year's attendance? (Round to the nearest integer, If necessary.)

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Solve the inequality. - x6<5x - 6 < - 5  Solve the inequality. - x - 6 < - 5

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Fill in the blank with one of the words or phrases listed below. no solution all real numbers linear equation in one variable equivalent equations formula reversed linear inequality in one variable the same -An equation that describes a known relationship among quantities is called a(n)_______.

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Solve the equation. -4x - x = 4 - 25

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Solve the equation. Don't forget to first simplify each side of the equation, if possible. -3(6x - 2)= 9x - 9

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Solve. Round answers to the nearest cent. -A store is advertising 45% off sale on everything in the store. Find the sale price of a camera that regularly sells for $280.

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Solve the equation. - x311=x3\frac { x } { 3 } - 11 = \frac { x } { 3 }

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Fill in the blank with one of the words or phrases listed below. no solution all real numbers linear equation in one variable equivalent equations formula reversed linear inequality in one variable the same -A(n)_______can be written in the for can be written in the form ax ax+b<c,( or >,,).\mathrm { ax } + \mathrm { b } < \mathrm { c } , ( \text { or } > , \leq ,\geq ).

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Solve the equation. - a313=6\frac { a } { 3 } - \frac { 1 } { 3 } = - 6

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Solve the equation. -6a = -54

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Solve the equation for the indicated variable. - V=13Ah\mathrm { V } = \frac { 1 } { 3 } \mathrm { Ah } Ah for A

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