Integrated Algebra - June 2011

Part II

31 The area of a rectangle is represented by x2 − 5x − 24. If the width of the rectangle is represented by x − 8, express the length of the rectangle as a binomial.

32 A method for solving 5(x − 2) − 2(x − 5) = 9 is shown below. Identify the property used to obtain each of the two indicated steps.

33 State the equation of the axis of symmetry and the coordinates of the vertex of the parabola graphed below.

Part III

34 Given the following list of students’ scores on a quiz: 5, 12, 7, 15, 20, 14, 7
Determine the median of these scores.

Determine the mode of these scores.

The teacher decides to adjust these scores by adding three points to each score. Explain the effect,if any, that this will have on the median and mode of these scores.

35 Chelsea has $45 to spend at the fair. She spends $20 on admission and $15 on snacks. She wants to play a game that costs $0.65 per game. Write an inequality to find the maximum number of times, x, Chelsea can play the game.

Using this inequality, determine the maximum number of times she can play the game.

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