MATH Integrated Math III  - Unit 1: Linear Equations
For the first six questions, select T (True) if the equation is linear, else select false.

1) Linear? y = 4x

2) Linear?

3) Linear?

4) Linear? x = –7

5) Linear?

6) Linear? y = 3 – 10x

For the next four problems, solve each equation for “y” and write your answer in slope-intercept form (y = mx + b). For example: y = (–3/4)x + 5.

7) –2x + 3y = 12

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8) –10x + 15y = 6

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9) x + 3y = –15

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10) 2x – 8y = 3

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For the next four problems, graph each equation on graph paper using the slope and the y-intercept, and then choose the correct graph of the equation.

11) State the letter of the correct graph for y = 4x + 3.

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12) State the letter of the correct graph for the given equation.

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13) State the letter of the correct graph for the given equation.

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14) State the letter of the correct graph for y = 3x – 3.

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For the next four problems, find the slope of the line containing the indicated points.

15) (0, 0) and (3, 30)

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16) (–6, –9) and (–3, 1)

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17) (–2, 8) and (–2, –1)

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18) (–3, 4) and (–6, 4)

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For the next four problems, identify the slope (m) and y-intercept (b) for each line.

19) y + 2x = 0

20) y = –2

21) 2x = 8 + 4y

22) x = 3

23) In your own words, define the slope of a line.

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24) In your own words, define the y-intercept of a line.

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25) Explain the differences between a line with a slope of 0 and a line with no slope.

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