Lesson 3 Too Big or Not Too Big, That Is the Question Solidify Understanding

Ready

Identify which of the given points are solutions to the following linear equations. There are multiple solutions for each equation.

1.

A.

B.

C.

D.

2.

A.

B.

C.

D.

3.

A.

B.

C.

D.

Fill in the value that will make each ordered pair a solution for the given equation.

4.

a.

b.

c.

5.

a.

b.

c.

6.

a.

b.

c.

Set

Graph each function. Classify the form of each linear equation as slope-intercept, standard, or point-slope.

7.

a blank 17 by 17 grid

Form:

8.

a blank 17 by 17 grid

Form:

9.

a blank 17 by 17 grid

Form:

10.

a blank 17 by 17 grid

Form:

11.

a blank 17 by 17 grid

Form:

12.

a blank 17 by 17 grid

Form:

A line connected to each linear inequality is graphed to divide the plane into two half planes. Test points on each side of the line to determine which half plane contains all of the solutions and then shade the half plane containing the solutions.

13.

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

14.

The graph of a dotted line with a slope of 7, passing through (0, -2) x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

15.

The graph of a dotted line with a slope of -35, passing through (0, 2) x–10–10–10–5–5–5555101010y–10–10–10–5–5–5555101010000

16.

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

Go

Solve each inequality and graph the solution set on the number line.

17.

Solution:

a blank number line –10–10–10–5–5–5555101010000

18.

Solution:

a blank number line –10–10–10–5–5–5555101010000

19.

Why are inequalities like the last two problems graphed on a number line while the ones in the Set portion of this assignment are graphed on a coordinate plane? What difference is there between the inequalities in the last two problems and the ones found in problems 13—16?