Lesson 9 Can You Get to the Point, Too? Solidify Understanding

Ready

Determine the solution to each system of linear equations.

1.

2.

3.

Graph of two lines on the same coordinate plane, intersecting at (1, 2) x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

4.

Graph of two lines on the same coordinate plane, intersecting at (-2, -4) x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

5.

6.

Set

Solve each system of equations using algebra. Check your solution.

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9.

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11.

12.

A -yard pipe is cut to provide drainage for two fields. If the length of one piece is three yards less than twice the length of the second piece , what are the lengths of the two pieces?

Go

For each graph determine if the relationship represents a function. If it is a function, write yes and explain why. If it is not a function, write no and explain why it is not.

13.

Graph of a continuous curve, beginning at (-9, -3), curving up and to the right to (-1, 4), where it begins to curve down to (7, 0.5), where it begins to curve up to its endpoint at (10, 5). x–10–10–10–5–5–5555101010y–5–5–5555101010000

14.

Graph of a point and two connecting line segments. The point is (-3, 4). The first line segment begins at (-9, 11) and descends to (-2, -3), where the second segment begins and ascends to (5, 11). x–10–10–10–5–5–5555y–5–5–5555101010000

15.

Graph of 5 plotted points that descend in a curve to the right. Points are approximately (0.3, 3), (1, 2), (2, 1), (3, 0.5), (4, 0.2) x111222333444555y111222333444555000

16.

a parabola on its side on a coordinate plane, opening to the right x555101010151515y–5–5–5555000

17.

A graph with closed point at (0, 10) descending in a curve to a closed point at (6, 4). the graph begins again at an open endpoint at (6, 4), curves up to (8, 9), then down to (18, -2) and then curves up to a closed endpoint at (21, 0) x555101010151515202020y555101010000

18.

A continuous curve beginning at (-4, 11), descending in a slight curve to (-2, 0), then curving up to (0, 4), then curving down to (2, 0), then curving slightly up to (4, 11) x–5–5–5555y555101010000