What is the volume and area of a cube with sides that measure 8/4 feet? The volume of a cube can be expressed as: volume = (length of sides) 3
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1 Name Date Expressions Used In Word Problems - Step-by-Step Lesson What is the volume and area of a cube with sides that measure 8/4 feet? Explanation: Step 1) First see what is being asked. Step 2) The volume of a cube can be expressed as: volume = (length of sides) 3 The area of a cube can be expressed as: area = 6 (length of sides) 2 Step 3) Volume = (length of sides) 3 8 Volume = ( ) 3 4 Volume = ( 8 x 8 x 8 ) Volume = ( ) or 8 feet3 8 Area = 6 (length of sides) 2 4 = 2 Area = 6 (2) 2 Area = 6 x 4 Area = 24 feet 2
2 Name Date Expressions Used In Word Problems - Guided Lesson Complete the following questions: 1) Jacob has p playing cards. Jeff has 60 more playing cards than Jacob. Write an expression showing how many playing cards Jeff has. 2) Find the value of expression where Y = 12 a. Y - 9 b. 5 + Y 3) Evaluate a b. 9 4 x 8
3 Name Date Expressions Used In Word Problems - Guided Lesson Explanation Explanation#1 Step 1) In the question Jacob has playing cards playing cards are going to be denoted as p. Jeff has 60 more (+ 60) playing cards than Jacob. Step 3) The answer will be p Explanation#2 Step 1) First find out what to be asked of us. Step 2) Y = 12, we have to put the value of y in the question. Step 3) a. Y = 3 b. 5 + Y Explanation# = 17 Step 1) We have to evaluate the answer. We will use PEMDAS to tackle the order of operations that are presented. Step 2a) a Division before addition 5 + (9 3) We can look at it as: 12 3 = 4 Step 2b) b. 9 4 x 8 Multiplication before subtraction. 9 (4 x 8) We can view it as: 9-32 = -23
4 Name Date Expressions Used In Word Problems - Independent Practice Worksheet I. Complete the following questions. 1. The King has 7 more crowns than the Queen. The queen has k crowns. Write the expression that shows how many crowns king has. 2. Moore has 20 songs. His friend bought him M more songs. Write an expression that shows how many songs Moore has now. 3. There were Y whales in the sea and 15 more whales came to the sea. Write an expression that shows how many whales are in the sea. 4. George earned 80 points in the subjects. Bruno earned B fewer points than George. Write an expression that shows how many extra points Bruno earned. 5. Karen has h pens. Helen has 25 more pens than Karen. Write an expression for how many pens Helen has. II. Answer the following: 1. Find the volume of cube with the given sides: a. 5 Yards 2 b. 8 inches 2. Find the area of cube with the given sides: a. 4 cm 2 b. 6 inches c. 10 mm
5 Name Date Expressions Used In Word Problems - Matching Worksheet Match the word problems to their answers. Write the letter of the answer that matches the problem. 1. Carol has 13 more cakes than Joseph. Joseph has n cakes. Choose the expression that shows how many cakes Carol has. a. 9 - p 2. Maria has 2 dogs. Her friend bought h more dogs. Choose the expression that shows how many dogs Maria has now. b. t Taylor takes 9 minutes to run a mile. Adam takes p fewer minutes than Taylor. Choose an expression that shows how long it takes Adam to run a mile. c. n Harris has r bottles. Donna has 60 more bottles than Harris. Choose the expression that shows how many bottles Donna has. d. 2 + h 5. There is t number of students in the class. 20 more students came out from the class. Choose the expression that shows how many students are left in the class. e. r + 60
6 Name: Date Topic: Absolute Value Inequalities - Worksheet 1 Solve the following problems dealing with absolute value inequalities > 4 + 2x 2. 3 < 6x > 3x < 2 + 4x x > < 2x > x < 4x > 3x < 3x + 6
7 Name: Date Topic: Absolute Value Inequalities - Worksheet 2 Solve the following problems dealing with absolute value inequalities > 2 + 4x 2. 4 < 2x > 3x < 8 + 2x x > < 3x > x < 2x > 5x < 4x + 8
8 Name: Date Topic: Absolute Value Inequalities - Worksheet 3 Solve the following problems dealing with absolute value inequalities > 3 + 2x 2. 8 < 2x > 3x < 3 + 2x x > < 2x > x < 3x > 2x < 6x + 2
9 Name: Date Topic: Absolute Value Inequalities - Worksheet 4 Solve the following problems dealing with absolute value inequalities > 3 + 6x 2. 4 < 8x > 4x < 5 + 5x x > < 2x > x < 4x > 4x < 2x + 8
10 Name: Date Topic: Absolute Value Inequalities - Worksheet 5 Solve the following problems dealing with absolute value inequalities > 2 + 4x 2. 3 < 6x > 3x < 2 + 4x x > < 3x > x < 3x > 3x < 3x + 6
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