Algebra Midterm Review

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• Alex is correct because d₁ would represent the change in distance and d₁=5

• Alex is incorrect because d₁ would represent the change in distance and d₁ =0

• Alex is correct because the common difference would represent the change in distance and the common difference is 3.

• Alex is incorrect because the common difference would represent the change in distance and the common difference is -1

The graph shows a sequence.

Determine the explicit and recursive forms of the sequence.

Michael is preparing a snack with apple juice and granola bars. He wants to keep his snack under 500 calories. One glass of apple juice contains 120 calories and one granola bar contains 80 calories.

If ​x represents the number of glasses of apple juice, and ​y represents the number of granola bars, which inequality represents the number of glasses of apple juice and granola bars Michael can have?

• 120x + 80y < 500

• 120x + 80y ≤ 500

• 120x + 80y = 500

• 120x + 80y ≥ 500

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Which of the following describes the graph of y ≤ 3x - 4 ?

• The boundary line is solid with a positive slope. The line crosses the y-axis at (0, -4) and the solutions are shaded below the line.

• The boundary line is solid with a positive slope. The line crosses the y-axis at (0, -4) and the solutions are shaded above the line.

• The boundary line is dashed with a positive slope. The line crosses the y-axis at (0, 3) and the solutions are shaded below the line.

• The boundary line is dashed with a positive slope. The line crosses the y-axis at (0, -4) and the solutions are shaded above the line.

Which inequality is represented in the graph?

• y < 5

• 2x < 10

• 2y ≤ 10

• 3x ≤ 15

A moving company uses an elevator to transport boxes. Each large box, L, weighs 80 pounds and each small box, s, weighs 30 pounds. The elevator can hold a maximum of 1,500 pounds, including the operator who weighs 200 pounds. Which inequality represents the number of large and small boxes that can be transported at one time?

• 80L + 30s ≥ 1,300

• 80L + 30s ≥ 1,500

• 80L + 30s ≤ 1,500

• 80L + 30s ≤ 1,300

The following system of linear inequalities is given.

x + 4 ≥ 2

6x + y ≤ -3

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