Straight Line

$$x^2$$

Upside Down Line

No clue

I can add any number to linear equation

I have to keep the equation balance

I can add any number to an equation as long as I do it to both side of the equation

No clue

The distributive property is used to multiply a single term and two or more terms inside a set of parentheses.

ac + bc

The distributive property is used to add a single term and two or more terms inside a set of parentheses.

a+c + b+c

The distributive property is used to subtract a single term and two or more terms inside a set of parentheses.

a-c + b-c

$$\frac{2}{5}$$

$$\frac{5}{2}$$

$$5\left(2\right)$$

• 0.75x = 0.8(x + 10)

• 0.75(x + 10) + 0.8x = 101

• 0.75x + 0.8x + 10 = 101

• 0.75x + 0.8(x + 10) = 101

Add like term

0.75x +0.8x

subtract 10 from both side

Use the Distributive Property

0.8(x) +0.8(10)

subtract 8 from both side

combine like term

0.75x + 0.8x

Add 8 to both side

subtract 8 from both side

multiply 8 to both side

divide 8 to both side

Add 1.55 to both side

subtract 1.55 to both side

multiply 1.55 from both side

divide 1.55 from both side

Add p+1 +3p+7

found common denominator

cross multiply

Need to add 5 +2

Use the distributive property to eliminate the parentheses

5(p) + 5(1) = 2(3p) +2(7)

combine like term

p+3p

add 5p to both side

subtract 5p from both side

multiply 5p to both side

divide 5p from both side

add 14 to both side

subtract 14 from both side

multiply 14 to both side

divide 14 from both side

No solution

One solution

Infinitely

No solution

One Solution

Infinitely

No Solution

One Solution

Infinitely