Algebra 2 Companion Book, Volume 1

2.1 Review Worksheet, Part 1 (continued)

2.1.2 Proportional Reasoning Solve each proportion. 20. = n 55 200 143 21. = y 1.24 3 15

= x 0.1 1.1 110

22 11

x 7

22.

23.

=

24.  A quality control inspector has found that 3.2% of the garments produced at Standard Garments contain a defect. If Standard Garments produces 4117 garments in one day, how many of those garments are expected to have a defect?

25.  △ ABC has vertices A (0,0), B (8, 0), and C (8, − 6). △ ADE is similar to △ ABC with a vertex at D (6, 0). Graph △ ABC and △ ADE on the same grid.

26.  A basketball rim 10 ft high casts a shadow 15 ft long. At the same time, a nearby building casts a shadow that is 54 ft long. How tall is the building?

2.1.3 Graphing Linear Functions Determine whether each data set could represent a linear function. 27. 28.

x

x

2 3 4 5 0 1 2 1

–3 –1 1 3 1 1.5 2 2.5

f ( x )

f ( x )

Graph each line. 29. slope 2; passes through ( − 3, 0)

30. slope − 2.5; passes through (1, 6)

− 1 2 ; passes through (0, 8)

− − 1 4 ; passes through ( 1, 2)

31.

32.

slope

slope

108

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