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Laabri

MC IM 2 Semester 1 Study Guide

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Last updated 3 months ago
89 Nsɛmmisa
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Monomial times a Polynomial

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Distribute then Combine Like Terms

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Multiplying Binomial X Binomial

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Special Product: Sum and a Difference

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Special Products: Square of a Binomial

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Inequalities and Interval Notation

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Sketching Functions

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Absolute Value

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Solving Absolute Value Inequalities

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Graphing Absolute Value Functions

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Graphing Quadratic Functions

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Solving Quadratics

Solving Quadratic Word Problem

Simplifying Radicals

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1.

Simplify this radical.

Multiplying Radicals

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2.

Simplify this expression that contains radicals.

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3.

Simplify this expression that contains radicals.

Square Roots with Variables

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4.

Simplify each radical

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5.

Simplify each radical

Simplifying Expressions by Multiplying Exponents (Product Rule)

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6.

Simplify. Your answer should not have negative exponents.

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7.

Simplify. Your answer should not have negative exponents.

Simplifying Expressions by Dividing Exponents

(Quotient Rule)

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Simplify. Your answer should not have negative exponents.

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9.

Simplify. Your answer should not have negative exponents.

Simplifying Expressions by raising Exponents by another Exponent (very meta)

(Power Rule)

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10.

Simplify. Your answer should not have negative exponents.

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11.

Simplify. Your answer should not have negative exponents.

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12.

Simplify. Your answer should not have negative exponents.

Simplifying Expressions (mixed practiced)

Using all three rules: Product Rule, Quotient Rule, and the Power Rule

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Simplify. Your answer should not have negative exponents.

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Simplify. Your answer should not have negative exponents.

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15.

Simplify. Your answer should not have negative exponents.

Simplifying Negative Exponents

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16.

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

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17.

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

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

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19.

Use the properties of exponents to match each expression to its simplified version.

Draggable itemarrow_right_altCorresponding Item

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Identifying Parts of Expressions/Simplifying Expressions

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20.

Identify the variable terms, constant terms, and coefficients

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23.

Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

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Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

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Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

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Directions: Simplify each expression by combining like terms. (Write your answer in standard form)

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27.

Find the product of these expressions. Final answers must be in standard form.

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28.

Find the product of these expressions. Final answers must be in standard form.

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Find the product of these expressions. Final answers must be in standard form.

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30.

Distribute, then simplify the remaining expression. Final answers must be in standard form.

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31.

Write an expression in simplest form to represent the area of the shaded region.

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32.

Find the Product of this binomial * binomial using the box method.

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33.

Find the Product of this binomial * binomial using the box method.

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34.

Find the Product of this binomial * binomial using the box method.

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37.

Find the Product of these polynomials.

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38.

Find the square of this binomial.

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39.

Find the square of this binomial.

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40.
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41.

Put the interval notations and graphs in the right category.

  • (-∞,-9)

  • (3,5)

  • (3,5]

  • [3.5]

  • [3,5)

  • [5,∞)

  • Open Interval

  • Closed Interval

  • Both

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42.

Match the inequailty and graph with the correct interval notation.

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48.

Write the following in interval notation.

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49.

Write the following in interval notation.

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50.

Write the following in inequality notation.

[-4,3)

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51.

Write the following in inequality notation.

(-∞,-3]

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52.

Write the following in inequality notation.

(-∞,2)U[4,∞)

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53.

Use the graph to create a function with the following features:

1) As x gets smaller; the function approaches infinity. x→ - ∞; f(x)→- ∞

2) As x gets larger; the function approaches infinity. x→ ∞; f(x)→ ∞

3) The graph of the function passes through the x-axis at -6

4) The graph of the function passes through the y-axis at -6

5) The graph of the function passes through the x-axis at 4

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The definition of absolute value is...

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55.

Explain why this is not possible:

|x|= - 9.5

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56.

Find the absolute value of this expression:

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Find the absolute value of this expression:

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Find the absolute value of this expression:

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59.

Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)

  • x<-4 or x>4

  • x≤-4 or x≥4

  • -3≤x≤13

  • (-3,13)

  • [-3,13]

  • |x|<4

  • |x-5|<8

  • (-∞,-4)∪(4,∞)

  • |x|>4

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60.

Match each inequality, absolute value, and interval notation with the correct graph. (Not every choice will be used)

  • (-∞,-2)∪(2,∞)

  • |x|<2

  • |x|>2

  • (-2,2)

  • -2≤x≤2

  • x<-2 or x>2

  • -2<x<2

  • |x|≥2

  • |x|≤2

Solving Absolute Value Equations

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Compound Inequalities

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Solve and graph the inequality

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Solve and graph.

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73.

What is the vertex of this parabola? Name the coordinate.

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What is the axis of symmetry of this quadratic function? It should be in the form of x=h.

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Solving Quadratic Equations by Graphing

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80.

Solving Quadratics by Factoring

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Solving Quadratic Using Square Roots

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Calculating Room Areas

People frequently need to calculate the area of rooms, boxes or plots of land. An example might involve building a rectangular box where one side must be twice the length of the other side.

For example, if you have only 4 square feet of wood to use for the bottom of the box, with this information, you can create an equation for the area of the box using the ratio of the two sides. This means the area -- the length times the width -- in terms of x would equal x times 2x, or 2x2. This equation must be less than or equal to four to successfully make a box using these constraints.

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Objects Affected by Gravity

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