Expressions and Equations 5 6 Add Linear Expressions

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Expressions and Equations 5. 6 Add Linear Expressions Learning Objectives • To add linear

Expressions and Equations 5. 6 Add Linear Expressions Learning Objectives • To add linear expressions Course 2, Lesson 5 -6

Expressions and Equations • linear expression Course 2, Lesson 5 -6

Expressions and Equations • linear expression Course 2, Lesson 5 -6

Need Another Example? Find (6 x + 2) + (x − 3). Answer 7

Need Another Example? Find (6 x + 2) + (x − 3). Answer 7 x – 1

Step-by-Step Example 2. 1 2 (2 x – 1) + (x – 5) 2

Step-by-Step Example 2. 1 2 (2 x – 1) + (x – 5) 2 x – 1 +x– 5 3 x – 6 Arrange like terms in columns. Add. So, (2 x – 1) + (x – 5) = 3 x – 6. Need Another Example?

Need Another Example? Find (4 x – 2) + (x – 4). Answer 5

Need Another Example? Find (4 x – 2) + (x – 4). Answer 5 x – 6

Need Another Example? Find (3 x – 6) + (– 2 x + 7).

Need Another Example? Find (3 x – 6) + (– 2 x + 7). Answer x+1

Step-by-Step Example 4. 1 2 3 4 Find 2(x + 3) + (3 x

Step-by-Step Example 4. 1 2 3 4 Find 2(x + 3) + (3 x + 1). 2(x + 3) + (3 x +1) = (2 • x + 2 • 3) + (3 x + 1) Use the Distributive Property. = (2 x + 6) + (3 x + 1) Simplify 2 x + 6 + 3 x + 1 5 x + 7 Arrange like terms in columns. Add. So, 2(x + 3) + (3 x + 1) = 5 x + 7. Need Another Example?

Need Another Example? Find 4(x + 1) + (5 x + 2). Answer 9

Need Another Example? Find 4(x + 1) + (5 x + 2). Answer 9 x + 6

Step-by-Step Example 5. 1 2 3 4 Find 5(x – 4) + (2 x

Step-by-Step Example 5. 1 2 3 4 Find 5(x – 4) + (2 x – 7) = (5 • x – 5 • 4) + (2 x – 7) Use the Distributive Property. = (5 x – 20) + (2 x – 7) Simplify 5 x – 20 + 2 x – 7 7 x – 27 Arrange like terms in columns. Add. So, 5(x – 4) + (2 x – 7) = 7 x – 27. Need Another Example?

Need Another Example? Find 3(x – 8) + (4 x – 5). Answer 7

Need Another Example? Find 3(x – 8) + (4 x – 5). Answer 7 x – 29

Step-by-Step Example 6. Write a linear expression in simplest form to represent the perimeter

Step-by-Step Example 6. Write a linear expression in simplest form to represent the perimeter of the triangle. Find the perimeter if the value of x is 5 centimeters. 1 Write a linear expression for the perimeter of the triangle. 2 (3 x – 3) + (2 x + 9) + (5 x) Write each expression. 3 (3 x + 2 x + 5 x) + (– 3 + 9) Rearrange to combine like terms. 4 10 x + 6 Add. 5 Find the perimeter. 10 x + 6 = 10(5) + 6 or 56 Replace x with 5. Simplify. 6 So, the perimeter of the triangle is 56 centimeters. Need Another Example?

Need Another Example? The side length of a square is (5 x + 1)

Need Another Example? The side length of a square is (5 x + 1) inches. Write a linear expression in simplest form to represent the perimeter of the square. Then find the perimeter if x equals 4 inches. Answer 20 x + 4; 84 in.