5.6 - Adding Linear Expressions

5.6: Adding Linear Expressions
p. 396

What is a linear expression?

Multiple Choice

Is the given equation linear or nonlinear?

$$5xy+4$$

• Linear

• Nonlinear

Multiple Choice

Is the given equation linear or nonlinear?

$$4+6x$$

• Linear

• Nonlinear

Multiple Choice

Is the given equation linear or nonlinear?

$$12x^2-5$$

• Linear

• Nonlinear

Examples

​Add the following linear expressions.

Math Response

p. 396

a.) Find the sum of the two linear expressions and type in your simplified expression in the box.

$$\left(3x+5\right)+\left(2x+3\right)$$

Type answer here

Correct Answer: 5x+8

Deg^°

Rad

Math Response

b.) Find the sum of the two linear expressions and type in your simplified expression in the box.

$$\left(2x-4\right)+\left(3x-7\right)$$

Type answer here

Correct Answer: 5x-11

Deg^°

Rad

Examples

​Add the following linear expressions.

Math Response

p. 397

c.) Add the two expressions and put your answer in simplest form.

$$\left(x-1\right)+\left(2x+3\right)$$

Type answer here

Correct Answer: 3x+2

Deg^°

Rad

Math Response

p. 397

d.) Add the two expressions and put your answer in simplest form.

$$\left(x-4\right)+\left(-2x+1\right)$$

Type answer here

Correct Answer: -x-3

Deg^°

Rad

Math Response

p. 397

e.) Add the two expressions and put your answer in simplest form.

$$6\left(x+7\right)+\left(x+3\right)$$

Type answer here

Correct Answer: 7x+45

Deg^°

Rad

Math Response

p. 397

f.) Add the two expressions and put your answer in simplest form.

$$\left(12x+19\right)\ +2\left(x-10\right)$$

Type answer here

Correct Answer: 14x-1

Deg^°

Rad

Math Response

Enter in the value of n so that (-3x + 11) + (8x - 7) is equal to (nx + 4).

Type answer here

Correct Answer: 5

Deg^°

Rad

Math Response

Enter in the value of n so that (12x - 4) + (3x - 7) is equal to (-11 + nx).

Type answer here

Correct Answer: 15

Deg^°

Rad

Example - p. 398

​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.

Math Response

p. 398

g.) A rectangle has side lengths (x + 4) feet and

(2x - 2) feet. Write a linear expression in simplest form to represent the perimeter.

Type answer here

Correct Answer: 6x+4

Deg^°

Rad

Guided Practice (p. 398)

Math Response

Add:

$$\left(2x+3\right)+\left(x+1\right)$$

Type answer here

Correct Answer: 3x+4

Deg^°

Rad

Math Response

Add:

$$10\left(x-2\right)+\left(6x-6\right)$$

Type answer here

Correct Answer: 16x-26

Deg^°

Rad

Math Response

Write a linear expression in simplest form to represent the perimeter of the pentagon.

Type answer here

Correct Answer: 11x+4

Deg^°

Rad

Math Response

Find the perimeter if the value of x is 3 yards.

Type answer here

Correct Answer: 37

Deg^°

Rad

Class Practice p. 399

Math Response

Write a linear expression in simplest form to represent the perimeter of the triangle.

Type answer here

Correct Answer: 22x+10

Deg^°

Rad

Math Response

A rectangle has side lengths (2x - 5) and (2x +6) meters. Write a linear expression in simplest form to represent the perimeter.

Type answer here

Correct Answer: 8x+2

Deg^°

Rad

Math Response

Find the sum of the following expressions:

$$\left(x+5\right),\ \left(-4x-2\right),\ and\ \left(2x-1\right)$$

Type answer here

Correct Answer: -x+2

Deg^°

Rad

Homework:

• 5.6 & 5.7 Pear Assessment

• Show your work on a piece of paper

• problems 1 - 8 are on today's lesson

• you can also do the SPIRAL REVIEW

• Do NOT start on problems 9 - 16 as we will learn that lesson tomorrow