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Study Resources (Analytical Geometry)

Chapter 5 21.Write the number in scientific notation. 0.00406 A)      B)      C)      D)  22.Write the number in scientific notation. The distance between a planet and its moon: 2,070,000 mi A)  mi    B)  mi    C)  mi    D)  mi 23.Write the number in standard notation. A)  5,990,000    B)  59,900,000    C)      D) .
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Chapter 4 11.Solve the system of linear equations using substitution. A)  (2,9)    B)  (9,2)    C)  (5,8)    D)  (4,2) 12.Solve the system of linear equations using substitution. A)      B)      C)      D)  (3,6) 13.Determine how the lines in the system of linear equations relate, the number of solutions of the system, and the type.
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Chapter 9 1.Solve the equation by applying the square root property. A)      B)      C)      D)  no real solutions 2.Solve the equation by applying the square root property. Express radicals in simplest form. A)      B)      C)      D)  no real solutions 3.Solve the equation by applying the square root property. A)     .
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Chapter 7 11.Multiply the rational expressions. Write the answer in simplest terms. A)      B)      C)      D)  12.Multiply the rational expressions. Write the answer in simplest terms. A)      B)      C)      D)  13.Multiply the rational expressions. Write the answer in simplest terms. A)      B)      C)      D)  1 14.Multiply.
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Chapter 6 51.Factor the binomial completely. A)C) B)D) 52.Solve the equation. A)      B)      C)      D)  53.Solve the equation. A)      B)      C)      D)  54.Solve the equation. A)      B)      C)      D)  55.Solve the equation. A)      B)      C)      D)  56.Solve the equation. A)      B)      C)      D)  57.Solve.
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Chapter 5 1.Simplify the expression by applying the product of like bases rule for exponents. A)      B)      C)      D)  2.Simplify the expression by applying the product of like bases rule for exponents. A)      B)      C)      D)  3.Simplify the expression by applying the product of like bases rule.
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Chapter 8 61.Simplify the expression. Write the answer with positive exponents. Assume the variable represents a positive real number. A)      B)      C)      D)  62.Simplify the expression. Write the answer with positive exponents. A)      B)      C)      D)  63.Simplify the expression. Write the answer with positive exponents. Assume.
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Chapter 3 41.Graph the given line and the line that is parallel to it through the given point. A) B) C) D) 42.Graph the given line and the line that is parallel to it through the given point. A) B) C) D) 43.Graph the given line and the line that is perpendicular to it through the given point. A) B) C) D) 44.Graph.
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Chapter 9 41.Write the expression as a complex number. A)      B)      C)      D)  42.Write the expression as a complex number. A)      B)      C)      D)  43.Write the expression as a complex number. A)      B)      C)      D)  44.Add the complex numbers and write the answer in standard.
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Chapter 3 31.Write the equation in slope-intercept form, if necessary, to find the slope and y-intercept of the line. Write the y-intercept as an ordered pair. A) y-intercept: C)m is undefined; y-intercept: B) y-intercept: D)m is undefined; y-intercept: 32.Write the equation in slope-intercept form, if necessary, to find the slope and y-intercept.
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Chapter 9 21.Solve the equation by completing the square. A)C) B)D)no real solutions 22.Solve the equation by completing the square. A)C) B)D)no real solutions 23.Solve the equation by completing the square. A)      B)      C)      D)  24.Solve the equation by completing the square. A)C) B)D)no real solutions 25.Solve the equation by completing the square. A)      B)      C)     .
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Chapter 3 61.Use the vertical line test to determine if the relation is a function. A)  a function    B)  not a function 62.Use the vertical line test to determine if the relation is a function. A)  a function    B)  not a function 63.Evaluate the function at the given value. if A)  –2    B)  –7    C) .
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Chapter 7 51.Solve the rational equation. A)      B)      C)      D)  52.Solve the rational equation. A)      B)      C)      D)  53.Solve the rational equation. A)      B)      C)      D)  54.Solve the rational equation. A)      B)      C)      D)  55.Solve the rational equation. A)      B)      C)     .
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Chapter 9 61.Graph the equation using the intercept(s), vertex, and additional points, if needed. A)  B) C)  D) 62.Graph the equation using the intercept(s), vertex, and additional points, if needed. A)           B) C)  D) 63.Graph the equation using the intercept(s), vertex, and additional points, if needed. A)           B) C)  D) 64.Graph the equation using the intercept(s), vertex, and.
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Chapter 9 51.Divide the complex numbers and write the answer in standard form. A)      B)      C)      D)  52.Divide the complex numbers and write the answer in standard form. A)      B)      C)      D)  53.Solve the the quadratic equation for its complex solutions. A)      B)      C)      D) .
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Chapter 3 51.Write the equation of the line that passes through the two points. Express the answer in slope-intercept form. and A)      B)      C)      D)  52.Write the equation of the line that passes through the two points. Express the answer in slope-intercept form, if possible. and A)     .
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Chapter 8 1.Simplify the expression. A)  not a real number    B)  –4    C)  4, –4    D)  4 2.Simplify the expression. A)      B)      C)  ,     D)  not a real number 3.Simplify the expression. A)  7    B)  –7    C)  7, –7    D)  not a real number 4.Simplify the expression. A)  0.03    B)  0.3    C)      D)  5.Simplify.
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Chapter 3 21.Graph the equation. A) B) C) D) 22.A company has profits (in millions of dollars) given by the equation where x is the number of years since 2005. Find the y-intercept and interpret its meaning. A)$4,100,000; the company's fixed cost in 2005 B)$4,100,000; the company's profit in 2005 C)$3,100,000; the company's fixed cost in 2005 D)$3,100,000; the.
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Chapter 6 31.Factor the trinomial completely using grouping. A)      B)      C)      D)  prime 32.Factor the trinomial completely using trial and error. A)      B)      C)      D)  prime 33.Factor the trinomial completely using trial and error. A)      B)      C)      D)  prime 34.Factor the trinomial completely using grouping. A)C) B)D)prime 35.Factor the trinomial completely.
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Chapter 5 41.Multiply the expressions using the distributive property. A)C) B)D) 42.Multiply the polynomials using the distributive property. A)      B)      C)      D)  43.Multiply the polynomials using the distributive property. A)      B)      C)      D)  44.Multiply the polynomials using the distributive property. A)C) B)D) 45.Multiply the polynomials using the vertical format. A)C) B)D) 46.Multiply the polynomials using the.
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Chapter 8 21.Find the distance between the points. Express the answer as a simplified radical. and A)      B)  7    C)  5    D)  25 22.Find the distance between the points. Express the answer as a simplified radical. (–9, 2), (7, 4) A)      B)  260    C)      D)  40 23.Perform the operation and write the.
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Chapter 3 1.Determine algebraically which of the given ordered pairs is a solution of the equation. A)      B)      C)      D)  2.Determine algebraically which of the given ordered pairs is a solution of the equation. A)      B)      C)      D)  3.Plot the ordered pair on the Cartesian coordinate system.
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Chapter 5 31.Evaluate the polynomial for the given values. A)  38    B)  –46    C)  44    D)  –52 32.Add the polynomials. Write the answer in standard form. A)      B)      C)      D)  33.Add the polynomials. Write the answer in standard form. A)C) B)D) 34.Subtract from . Write the answer in standard form. A)      B) .
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Chapter 8 41.Simplify the quotient and express the answer in simplest radical form. A)      B)      C)      D)  42.Simplify the quotient and express the answer in simplest radical form. Assume the variable represents a positive real number. A)      B)      C)      D)  43.Rationalize the denominator. A)      B)      C) .
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Chapter 7 41.Simplify the complex fraction using division or multiplication by the LCD. A)      B)      C)      D)  42.Simplify the complex fraction using division or multiplication by the LCD. A)      B)      C)      D)  43.Simplify the complex fraction using division or multiplication by the LCD. A)      B)      C) .
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Chapter 8 31.Perform the operation and write the answer in simplest form. A)      B)      C)      D)  32.Perform the operation and write the answer in simplest form. A)      B)      C)      D)  33.Find the perimeter of the rectangle. Write the answer in simplest form. Note the figure is not.
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Chapter 4 1.Which ordered pair is a solution of the system A)  (4,9)    B)  (4,3)    C)  (3,9)    D)  (9,4) 2.Use the graph of the linear system to determine its solution set. A)  (1,–1)    B)  (0,1)    C)  (–1,0)    D)  (0,0) 3.Use the graph of the linear system to determine its solution set. A)      B)  (0,–4)    C) .
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Chapter 8 51.Solve the equation. A)      B)      C)      D)  52.Given that triangle ABC is a right triangle. Use the Pythagorean theorem to find the missing length of the triangle. Note the triangle is not drawn to scale. Side AC has length 2 m and side BC has length 6.
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Chapter 8 11.Simplify the expression. Assume the variables represent  positive real numbers. A)      B)      C)      D)  not a real number 12.Simplify the radical completely. A)  7    B)      C)      D)  13.Simplify the radical completely. A)      B)      C)      D)  14.Simplify the radical completely. Assume that the variable represents.
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Chapter 6 21.Factor the trinomial completely. A)      B)      C)      D)  prime 22.The height of a ball thrown upward with an initial velocity of 32 ft/sec from a height of 240 ft above the ground can be represented by where t is the number of seconds after the ball is.
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Chapter 4 21.Valeri's elementary school sold wrapping paper and chocolate to raise money for books for the media center.  Each roll of wrapping paper cost $8 and each box of chocolate cost $9.  The students sold 500 items and raised $4100.  How many rolls of wrapping paper and boxes of chocolate.
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Chapter 6 61.Solve the polynomial equation. A)      B)      C)      D)  62.Solve the polynomial equation. A)      B)      C)      D)  63.A county park builds a rectangular pool. The length of the pool is 20 ft more than twice its width. If the area of the pool is 6000 ft2,.
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Chapter 2 61.Graph the solution set of the inequality. A) B) C) D) 62.Solve the inequality.  Write the solution set in set builder notation. A)      B)      C)      D)  63.Solve the inequality.  Write the solution set in interval notation. A)      B)      C)      D)  64.Graph the solution set of the inequality. A) B) C) D) 65.Solve the inequality.  Write.
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Chapter 2 51.The population of a certain city in 2000 was 163,644. By 2010, the city's population had grown to 204,849. By what percent did the population increase from 2000 to 2010? Round to the nearest hundredth of a percent. A)  79.89%    B)  20.11%    C)  74.82%    D)  25.18% 52.Jo has $2000 to invest..
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Chapter 5 51.Use a special product to multiply. Write the answer in standard form. A)      B)      C)      D)  52.Use a special product to multiply. Write the answer in standard form. A)C) B)D) 53.Use a special product to multiply. Write the answer in standard form. A)      B)      C)      D)  54.Use a.
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Chapter 7 61.How many U.S. dollars are in 1300 South Korean won if 1 U.S. dollar equals 1056.15 South Korean won? A)0.81 U.S. dollarsC)2356.15 U.S. dollars B)1,372,995.00 U.S. dollarsD)1.23 U.S. dollars 62.If 1 in. represents 80 mi on a map, how many inches represent the distance between two cities that are 840 mi apart.
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Chapter 3 11.Use the graph to complete the ordered pair that is a solution. A)      B)      C)      D)  12.The table shows a company's profit since 2004. Make a scatter plot of the data. Years After 2004 0 1 2 3 4 Profit (in millions) $4 $5.5 $8 $3 $4.5 A) B) C) D) 13.Determine if the equation is a linear equation in two variables, if possible. A) .
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Chapter 2 31.Solve the equation by first clearing fractions. A)      B)      C)      D)  32.Solve the equation by first clearing decimals. A)      B)      C)      D)  33.Solve the equation by first clearing decimals. A)      B)      C)      D)  34.Solve the equation. If the equation is a contradiction, write.
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Chapter 7 21.Add the rational expressions. Write the answer in lowest terms. A)      B)      C)      D)  22.Subtract the rational expressions. Write the answer in lowest terms. A)      B)      C)  0    D)  1 23.Subtract the rational expressions. Write the answer in lowest terms. A)      B)      C)      D)  0 24.Subtract.
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Chapter 5 11.Use the definition of the zero exponent to simplify the expression. A)  0    B)  1    C)      D)  12.Simplify the expression. Write the answer with positive exponents. A)      B)      C)      D)  13.Simplify the expression. Write the answer with positive exponents. A)      B)      C)      D)  14.Simplify the.
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Chapter 5 61.Divide by A)      B)      C)      D)  62.Perform the indicated operation. A)      B)      C)      D)  63.Divide by A)      B)      C)      D)  64.Perform the indicated operation. A)      B)      C)      D)  65.Divide by A)      B)      C)     .
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Chapter 6 11.Use grouping to factor the polynomial. A)      B)      C)      D)  prime 12.Use grouping to factor the polynomial. A)C) B)D)prime 13.Factor the trinomial completely. A)      B)      C)      D)  prime 14.Factor the trinomial completely. A)      B)      C)      D)  prime 15.Factor the trinomial completely. A)      B)      C)      D)  prime 16.Factor the.
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Chapter 4 31.Determine if the ordered pair is a solution of the given inequality ,            (–8,0) A)  no    B)  yes 32.Graph the solution set of the linear inequality in two variables.  A) B) C) D) 33.Michael's algebra course grade is based on his test average and his final exam grade.  His test average counts for 70% of.
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Chapter 7 31.Add the rational expressions. Write the answer in lowest terms. A)      B)      C)      D)  32.Subtract the rational expressions. Write the answer in lowest terms. A)      B)      C)      D)  33.Add the rational expressions. Write the answer in lowest terms. A)C) B)D) 34.Subtract the rational expressions. Write the answer in.
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Chapter 9 31.Solve the equation using the quadratic formula. A)C) B)D)no real solutions 32.Solve the equation using the quadratic formula. A)C) B)D)no real solutions 33.Solve the equation using the quadratic formula. A)C) B)D)no real solutions 34.Solve the equation using the quadratic formula. A)      B)      C)      D)  no real solutions 35.Solve the equation using the quadratic formula. Give the solutions.
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Chapter 6 41.Use the difference of two squares property to factor the binomial, if possible. A)      B)      C)      D)  prime 42.Use the difference of two squares property to factor the binomial, if possible. A)      B)      C)      D)  prime 43.Use the difference of two squares property to factor the binomial,.
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