Algebra 1 Solving Equations Flashcard

Front

Solve the equation with variables on both sides: 2x - 5 = x + 3

Back

x = 8

Front

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

Back

x = -3

Front

Solve the equation: 4(x - 2) = 3x + 6

Back

x = 14

Front

Determine the value of x in the equation: 2x + 7 = 3x - 4

Back

x = 11

Front

Find the solution to the equation: 2(3x - 4) = 10

Back

x = 3

Front

What is the first step in solving the equation 2x - 5 = x + 3?

Back

Isolate the variable by moving x terms to one side.

Front

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

Back

It means that the variable appears on both sides of the equal sign, requiring manipulation to isolate it.

Front

What is the distributive property in algebra?

Back

a(b + c) = ab + ac; it allows you to multiply a term by a sum.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the goal when solving an equation?

Back

To isolate the variable on one side of the equation.