zMath 180  - Unit 28: Simplify Algebraic Expressions
1) What algebraic expression is represented by the model?

2) Collect the like terms in the previous problem. What is the simplified expression?

3) What algebraic expression is represented by the model?

4) Collect the like terms in the previous problem. Make sure to remove the “zero pairs” and combine the numeric values. What is the simplified expression?

For the next five problems simplify the given expression by collecting like terms. Remember that the sign in front of the term is the sign of the term.

5) What is the simplified expression?

6) What is the simplified expression?

7) What is the simplified expression?

8) What is the simplified expression?

9) What is the simplified expression?

For the next two problems refer to the model below.

10) What algebraic expression is represented by the model? State the letter of the correct answer.

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11) Collect the like terms in the previous problem. Make sure to remove the “zero pairs” and combine the numeric values. What is the simplified expression? State the letter of the correct answer.

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12) What is the simplified expression? State the letter of the correct answer.

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13) What is the simplified expression? State the letter of the correct answer.

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14) Write an expression to represent the perimeter of the given rectangle. Make sure to simplify and collect like terms.

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For the next two problems refer to the model below.

15) What algebraic expression is represented by the model? State the letter of the correct answer.

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16) What expression represents the area as a product of the length and the width of the rectangle?

17) Multiply by applying the distributive property. State the letter of the correct answer.

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18) Multiply by applying the distributive property. State the letter of the correct answer.

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19) Multiply by applying the distributive property. State the letter of the correct answer.

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20) Write an algebraic statement for the expression shown below. Let “n” represent the number.

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21) Write an algebraic statement for the expression shown below. Let “x” represent the number.

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Review

Draw a sketch of similarity based on the facts given, and then solve the next six problems. (Note: Draw the triangles so that vertex A corresponds to vertex D, vertex B corresponds to vertex E, and vertex C corresponds to vertex F.)

22) BC = ?

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23) CA = ?

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24) What angle is corresponding and congruent to angle D?.

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25) What angle is corresponding and congruent to angle E?

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26) What angle is corresponding and congruent to angle F?

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27) What is the common ratio between any two pairs of sides of triangle ABC and triangle DEF?

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For the next two problems, refer to the chart below to change each metric measure to standard measure.

28) 10 liters (l) = _________ quarts (qt)

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29) 100 kilograms (kg) = _________ pounds (lb)

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30) What is the area of a rectangle with a length of 4 centimeters and a width of 8 centimeters?

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31) What is the area of a triangle with a height of 3.8 centimeters and a base of 4 centimeters?

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32) What is the surface area of a cylinder that has a radius of 4 centimeters and a height of 8 centimeters? Express the answer in hundredths and label the answer correctly.

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33) For the cylinder in the previous problem, what is the volume? Express the answer in hundredths and label the answer correctly.

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34) What is the volume of a cylinder with a height of 8.5 centimeters and a radius of 3.2 centimeters? Express the answer in hundredths and label the answer correctly.

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35) What is the volume of a cone with the same height and radius as the cylinder in the previous problem? Express the answer in hundredths and label the answer correctly.

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36) What is the volume of a cube with an edge of 3 centimeters?

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37) Evaluate the expression.

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38) Evaluate the expression.

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For the next three problems, consider the point A (1, 2) and point B(3,4) on straight line AB.

39) What is the slope of the line that contains point A(1, 2) and point B(3, 4)?

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40) What is the distance between point A and point B? Round the answer to the nearest tenth.

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41) What is the midpoint between point A and point B?

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42) Write an algebraic expression to describe the given relation.

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43) For the relation in the previous problem, predict the next three ordered pairs.

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44) What are the two roots of the quadratic equation?

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45) What are the two roots of the quadratic equation?

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46) Graph the given quadratic equation on the coordinate plane and explain how its location has changed from the location of the graph of quadratic equation in the previous problem?

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47) If “k” can be replaced by any number, how many different values can the expression “5k” have?

48) As Hurricane Katrina approached the city of New Orleans, LA, in August, 2005, the wind speed and central pressure of the hurricane were recorded as shown in the chart. The central pressure of a hurricane varies __________ as the wind speed increases.

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