Ch 1 Lesson 2

Multiple Choice

Quick check:

Simplify the following expression:

2(x - 4)

• 2x - 8

• x - 8

• 2x - 4

​Adding and subtracting Linear Expressions

Algebraic expression in which the exponent of the variable is 1

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​Linear Expression

Categorize

Options (8)

$$4x+8$$  

$$x-2$$  

$$-\frac{1}{8}x+6$$  

$$-2x-8$$  

$$-8x^2+6$$  

$$-12x$$  

$$\frac{1}{6}x+4x^5$$  

$$\left(x-2\right)^2$$  

Organize these options into the right categories

Linear expression

Nonlinear expression

It is just another type of combining like terms

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​Adding linear expressions

Multiple Choice

(3x + 5) + (2x + 3)

• 6x + 15
• 6x + 8
• 5x + 8
• 5x + 15

Fill in the Blanks

$\left(5x-2\right)+\left(3x+10\right)+\left(-6x+8\right)+\left(15x-2\right)$

Multiple Choice

Quincy makes 2x+3 dollars for walking large dogs and x+5 for walking small dogs. What will Quincy charge if he walks one of each type of dog?

• 3x + 8
• 4x + 3
• 2x + 5
• x + 8

​You have to use the distributive property FIRST if there is something to distribute

Multiple Choice

2(x + 3) + (3x + 1)

• 6x + 4
• 5x + 4
• 5x + 7
• 6x + 7

Fill in the Blanks

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

Fill in the Blanks

$-2\left(3x+5\right)+8\left(x-7\right)+\left(6x+7\right)$

Multiple Choice

Quincy makes 2x+3 dollars for walking large dogs and x+5 for walking small dogs. What will Quincy charge if he walks three of each type of dog?

• 6x + 15
• 9x + 24
• 7x + 18
• 8x + 20

Multiple Choice

Think about the skills and simplify the following 2 polynomials

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

• 5x² + 2x + 4

• 3x² - 4x + 6

• 2x²+ 2x + 8

• 5x² - 2x + 6

3 Steps:

1.) Rewrite everything before the subtraction sign

2.) Change the subtraction sign to an addition sign

3.) Change the sign of every term inside the second set of parenthesis

Step 1: Rewrite the first expression

Step 2: Change the subtraction sign to an addition sign

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Step 3: Change the sign of every term inside the parenthesis

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Multiple Choice

(2x - 4) - (-x + 9)

• x + 5

• 3x - 13

• 3x + 5

• x - 13

Fill in the Blanks

(20x - 5) - (6x + 1)

Fill in the Blanks

(4x - 7) - (3x - 2)

Multiple Choice

(x + 9y + 5) – (-8x + 4y – 7)

• -7x + 5y + 12
• 9x + 9y + 12
• -7x + 13y + 12
• 9x + 5y + 12
• This is not possible

Fill in the Blanks

$\left(7x-4\right)-2\left(4x+12\right)$

Multiple Choice

Two Florida panthers were weighed. One weighs 6x + 21 pounds and the two together weigh 14x + 11 pounds. How much does the other panther weigh alone?

• -8x + 11

• -8x - 11

• 8x - 10

• 8x + 10

Fill in the Blanks

Side A equals 2x+1, Side B equals 5x-9. If the perimeter of the triangle is 10x+3, what is the length of Side C?

Fill in the Blanks

The package of cookies at Shop Smart cost 3x+8 dollars while the same package at Cost Mart is 5x-11 dollars. How much more is the Cost Mart cookies than the Shop Smart cookies?

Fill in the Blanks

If the length of Side A equals 4x-3 and the length of Side B is 3x+2, what is the perimeter of the rectangle?