Exam 1: Equations, Inequalities, and Modeling

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Find the slope of the line containing the pair of points. -(-7, 9), (7, 9)

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Write the solution set in interval notation. -Write the solution set in interval notation. -

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Use the appropriate formula to solve the problem. -The perimeter of a rectangle is 30 cm. One side is 9 cm longer than the other side. Find the lengths of the sides.

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Find the center and radius of the circle. -Find the center and radius of the circle. -

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Evaluate the indicated power of i. -Evaluate the indicated power of i. -

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Solve the problem. -Find the value of k so that the graph of 19y + kx = 4 and the line containing the points (5, -8) and (2, 4) are perpendicular.

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Determine whether there is a linear relationship between the variables in the table. -Determine whether there is a linear relationship between the variables in the table. -

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Identify the complex number as real or imaginary. -Identify the complex number as real or imaginary. -

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Write the standard equation for the circle. -Center (3, 2), passing through (0, 2)

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Draw a line that you think fits the data, and then use the line to determine the unknown quantity. -Draw a line that you think fits the data, and then use the line to determine the unknown quantity. -  y(?) = 6.3 y(?) = 6.3

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Solve the problem. -From a point on a straight road, two cars are driven in opposite directions, one at 50 miles per hour and the other at 45 miles per hour. In how many hours will they be 475 miles apart?

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Write an equation in slope-intercept form for the line shown. -Write an equation in slope-intercept form for the line shown. -

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Write an inequality of the form Write an inequality of the form   k or of the form   k so that the inequality has the given solution set. - k or of the form Write an inequality of the form   k or of the form   k so that the inequality has the given solution set. - k so that the inequality has the given solution set. -Write an inequality of the form   k or of the form   k so that the inequality has the given solution set. -

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Perform the indicated operations and write the answer in the form a + bi, where a and b are real numbers. -(7 + 5i) - (-5 + i)

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Use the y-intercept and slope to sketch the graph of the equation. -y = 2 Use the y-intercept and slope to sketch the graph of the equation. -y = 2

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Graph the equation. -Graph the equation. -

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Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -Solve the equation. Identify the equation as an identity, an inconsistent equation, or a conditional equation. -

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Solve the problem. -If Gloria received a 4% raise and is now making $23,920 a year, what was her salary before the raise?

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Evaluate the indicated power of i. -Evaluate the indicated power of i. -

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Solve the problem. -A bakery owner sells rectangular birthday cakes that are 5 inches longer than they are wide. To increase his profit, he decides to decrease both the length and width by 3 inches. If the area of the new cake is 66 in.2 smaller Than the old cake, then what are the length and width of the old cake?

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