Multistep Equations

Front

What is a multistep equation?

Back

A multistep equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Tags

CCSS.7.EE.B.4A

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.6.EE.B.7

Front

What is the first step in solving the equation -2x - 7 + 3x = 10?

Back

Combine like terms: -2x + 3x = x, so the equation becomes x - 7 = 10.

Tags

CCSS.8.EE.C.7B

Front

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

Back

The solution is x = -1.

Tags

CCSS.7.EE.B.4A

Front

How do you solve the equation 3(y + 5) = 45?

Back

First, divide both sides by 3 to get y + 5 = 15, then subtract 5 to find y = 10.

Tags

CCSS.7.EE.B.4A

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting your answer back into the original equation to verify that both sides are equal.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation 0.75(6 + d) = 12?

Back

The solution is d = 10.

Tags

CCSS.7.EE.B.4A

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 two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

How do you handle negative coefficients in equations?

Back

When dealing with negative coefficients, remember to apply the rules of signs carefully when performing operations.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation -11 - 5a = 6(5a + 4)?

Back

The solution is a = -1.