Flashcard 3-2 Review

Front

Which of the following equations has no solution? 2x + 1 = 5x - 3, 2(x - 7) = 2x-14, 3(2x+1) = 6x+1, 15x - 30 = 0

Back

3(2x+1) = 6x+1

Front

Solve the equation: 7x - 4 = 3 + 8x

Back

x = -7

Front

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

Back

x = 1

Front

Identify if this equation has one solution, infinitely many solutions or no solution: -3x+1=x+9-4x

Back

no solution

Front

What is an equation with infinitely many solutions?

Back

An equation like 2x + 3 = 2x + 3, where both sides are identical.

Front

What does it mean if an equation has no solution?

Back

It means there are no values for the variable that can satisfy the equation.

Front

What is the first step in solving the equation 2x + 1 = 5x - 3?

Back

Isolate the variable by moving all terms involving x to one side.

Front

What is the solution to the equation 15x - 30 = 0?

Back

x = 2

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 distributive property?

Back

a(b + c) = ab + ac, distributing a across the sum.