Lesson 6 All for One, One for All Solidify Understanding

Ready

Find the value of each square root.

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2.

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5.

6.

Solve for .

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Set

13.

Constraints , , and are graphed as shown. Constraint is blue, constraint is green, and constraint is purple.

3 functions on a coordinate plane with common areas shaded x555101010y555101010000

Indicate where on the grid each of the following might exist by labeling it.

  1. Where can coordinate pairs that satisfy only constraint and constraint be found?

  2. Where can coordinate pairs that satisfy only constraint and constraint be found?

  3. Where can coordinate pairs that satisfy only constraint and constraint be found?

  4. Where can coordinate pairs that satisfy all three constraints be found?

Write the inequality that represents the shaded region for each graph in slope-intercept form.

14.

Graph of a half plane defined by a solid line passing through (0, 7) and (7, 0) and shaded to the left of the line. x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

15.

Graph of a half plane defined by a dotted line passing through (0, -4) and (2, 0) and shaded to the left of the line. x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

Go

For each inequality and graph, shade the half plane that contains the solutions.

16.

The graph of a solid line with a slope of 1 over 5 , passing through (0, -4) x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

17.

The graph of a solid line with a slope of -3, passing through (0, 5) x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

18.

The graph of a solid line with a slope of 2 over 5 , passing through (2, 0) x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

19.

The graph of a solid line with a slope of -3 over 4 , passing through (0, 6) x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000