Solving Equations with Grouping Symbols

Front

What is the purpose of grouping symbols in equations?

Back

Grouping symbols, such as parentheses, indicate which operations should be performed first in an equation, helping to clarify the order of operations.

Front

Solve the equation: 15(t+2)+9t=6

Back

t = -1

Front

Solve the equation: 5(2x+3)=45

Back

x = 3

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 grouping symbol.

Front

Solve the equation: -2(5+6m)+16= -90

Back

m = 8

Front

Solve the equation: 3(2x+5)=39

Back

x = 4

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve the equation: 6(3x-5) -7x=25

Back

x = 5

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is the first step in solving an equation with grouping symbols?

Back

The first step is to simplify the expressions inside the grouping symbols using the distributive property if necessary.