Solving Multistep/Variables on both sides Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Tags

CCSS.8.EE.C.7B

Front

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides of an equation means that the variable appears on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you solve the equation 2x + 3(5x - 7) = 47?

Back

1. Distribute: 2x + 15x - 21 = 47 2. Combine like terms: 17x - 21 = 47 3. Add 21 to both sides: 17x = 68 4. Divide by 17: x = 4.

Tags

CCSS.8.EE.C.7B

Front

What is the first step in solving the equation 4(1-x)+3x=-2(x+1)?

Back

The first step is to distribute on both sides: 4 - 4x + 3x = -2x - 2.

Front

How do you isolate the variable in the equation 5x - 14 = 8x + 4?

Back

1. Subtract 5x from both sides: -14 = 3x + 4 2. Subtract 4 from both sides: -18 = 3x 3. Divide by 3: x = -6.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Tags

CCSS.6.EE.A.3

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What is the solution to the equation 4(1-x)+3x=-2(x+1)?

Back

x = -6.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

x = -6.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Tags

CCSS.8.EE.C.7B