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Laabri

Algebra 1 3-2 Mixed Review: Solving Inequalities Using Addition or Subtraction

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1.

Review Lesson 3-1: Define a variable and write an inequality to model the situation.

A hummingbird migrates more than 1850 mi.

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2.

Review Lesson 3-1: Let f be the length of an octopus. Write a simplified inequality to model the situation.

An octopus can be up to 18 ft long.

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3.

Review Lesson 1-2: Simplify the expression.

Enter only a number.

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4.

Review Lesson 1-2: Simplify the expression.

Enter only a number.

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5.

Review Lesson 1-2: Simplify the expression.

Enter only a number, in decimal form.

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6.

Review Lesson 2-1: Solve the equation.

Enter only a number.

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7.

Review Lesson 2-1: Solve the equation.

Enter only a simplified fraction.

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8.

Review Lesson 2-1: Solve the equation.

Enter only a number in simplest form.

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9.

Vocabulary Review: Match each verbal description on the left with its inequality symbol on the right.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

  • fewer than

  • no more than

  • no less than

  • at least

  • less than or equal to

  • no greater than

  • less than

  • as little as

  • at most

  • more than

  • greater than or equal to

  • greater than

  • <

  • >

  • <

  • >

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10.

Use Your Vocabulary: Categorize each of the equations.

  • x = \frac{1}{3}

  • 3 = x

  • x + 2 = 5 - 2

  • x + 2 = 5

  • Equivalent to the equation x = 3

  • Not equivalent to the equation x = 3

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11.

Use Your Vocabulary: Categorize each of the inequalities.

  • x + 2 ≥ 5

  • 3 ≥ x

  • x ≤ \frac{1}{3}

  • x + 2 ≤ 5 - 2

  • Equivalent to x ≤ 3

  • Not equivalent to x ≤ 3