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Laabri

1.3 Solving Absolute Value Equations (Due 10/13/23)

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Last updated 3 months ago
61 Nsɛmmisa

Day 1 10/5/23

Absolute Value

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8
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5
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2
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2
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2
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2
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2
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2
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2
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1
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2
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10
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10
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10

Day 2 10/9/23

Absolute Value Special Cases

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5
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5
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10
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15
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15
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15
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15

Solving Inequalities

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10
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10
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10
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10
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10
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10
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10
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10

Day 2 10/10/23

Compound Inequalities

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20
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10
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10
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10
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10
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20
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10
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10
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10
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10

Day 3 10/11/23

Spiral Review

Come on you know you forgot this stuff already.

Prove me wrong...

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5
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5
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5
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5
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5
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10
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10
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10
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10
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10
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10
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10
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10
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5
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5
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10
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10

Ya dun

Essential Question: How can you solve an absolute value equation?

Learning Target: Students will be able to solve absolute value equations involving real-world situations.

Show your work for credit.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Vocabulary Review: Mark each statement as True or False.

  • False

  • True

  • To indicate the absolute value of -8, you write |-8|.

  • The absolute value of -8 is -8, since -8 is 8 units from 0 on the number line.

  • The absolute value of -8 is 8, since -8 is 8 units from 0 on the number line.

  • According to the definition of absolute value, if |r|= 3, then r = 3 or r = -3.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

The definition of absolute value is...

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3.

Find the absolute value of this expression:

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4.

Find the absolute value of this expression:

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5.

Find the absolute value of this expression:

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6.

Find the absolute value of this expression:

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7.

Find the absolute value of this expression:

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8.

Find the absolute value of this expression:

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9.

Find the absolute value of this expression:

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10.

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11.

Find the absolute value of this expression:

Solving Absolute Value Equations

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10
Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Solve this absolute Value equation:

|x+4|= 7

+ Case

- Case

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10
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10
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10
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10
Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Solve this absolute Value equation:

+ Case

- Case

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18.

Solve this absolute Value equation:

+ Case

- Case

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19.

Solve this absolute Value equation:

+ Case

- Case

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20.

In math, is there a difference between distance and direction?

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21.

Explain why this is not possible:

|x|= - 6

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22.

Solve this absolute Value equation:

-3|2x+1|=21

Does this have a solution?

+ Case (If no solution exists, then write "no solution")

- Case (If no solution exists, then write "no solution")

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

Solve this absolute Value equation:

-3|2x+1|=-21

Does this have a solution?

+ Case (If no solution exists, then write "no solution")

- Case (If no solution exists, then write "no solution")

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

Solve this absolute Value equation:

-5|4x-3|=-45

Does this have a solution?

+ Case (If no solution exists, then write "no solution")

- Case (If no solution exists, then write "no solution")

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

Solve this absolute Value equation:

|3b+9|-16=-45

Does this have a solution?

+ Case (If no solution exists, then write "no solution")

- Case (If no solution exists, then write "no solution")

Asemmisa {{asɛmmisaAhyɛnsode}}
26.

Solve this absolute Value equation:

-|3b+9|-16=-45

Does this have a solution?

+ Case (If no solution exists, then write "no solution")

- Case (If no solution exists, then write "no solution")

Essential Question: How do you solve and graph inequalities?

Learning Target: Students will be able to solve solve and graph inequalities that represent real-world problems.

Complete the entire assignment and show work for full credit. Responses with no work shown will receive no credit.

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27.

Solve and graph the inequality for the given variable.

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28.

Solve and graph the inequality for the given variable.

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29.

Solve and graph the inequality for the given variable.

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30.

Solve and graph the inequality for the given variable.

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31.

Solve and graph the inequality for the given variable.

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32.

Solve and graph the inequality for the given variable.

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33.

Solve and graph the inequality for the given variable.

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34.

Solve and graph the inequality for the given variable.

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35.

Complete these notes for compound inequalities.

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36.

Solve and graph the compound inequality for the given variable.

or

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37.

Solve and graph the compound inequality for the given variable.

or

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38.

Solve and graph the compound inequality for the given variable.

or

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39.

Solve and graph the compound inequality for the given variable.

or

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40.

Complete these notes for compound inequalities.

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41.

Solve and graph the compound inequality for the given variable.

and

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42.

Solve and graph the compound inequality for the given variable.

and

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43.

Solve and graph the compound inequality for the given variable.

and

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44.

Solve and graph the compound inequality for the given variable.

and

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45.

Simplify this expression. Your answer should not have negative exponents.

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46.

Simplify this expression. Your answer should not have negative exponents.

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47.

Simplify this expression. Your answer should not have negative exponents.

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48.

Simplify this expression. Your answer should not have negative exponents.

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49.

Simplify this expression. Your answer should not have negative exponents.

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50.

Find the Product of these polynomials.

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51.

Find the Product of these polynomials.

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52.

Find the difference between these polynomials. (subtract them)

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53.

Find the Product

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54.

Find the Product:

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55.

Find the square of this binomial.

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56.

Find the square of this binomial.

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57.

Find the Product

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58.

Match the exponents and radical to their matching expressions

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt

arrow_right_alt

arrow_right_alt

arrow_right_alt

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Asemmisa {{asɛmmisaAhyɛnsode}}
59.

Match the exponents and radical to their matching expressions

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt

arrow_right_alt

arrow_right_alt

arrow_right_alt

arrow_right_alt

Asemmisa {{asɛmmisaAhyɛnsode}}
60.

Find the perimeter of the following:

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61.

Find the area of the following:

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13.

Solve this absolute Value equation:

|x-2|=5

+ Case

- Case

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14.

Solve this absolute Value equation:

+ Case

- Case

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15.

Solve this absolute Value equation:

+ Case

- Case

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16.

Solve this absolute Value equation:

+ Case

- Case