Lesson 4-10 7A

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation and the constants on the other.

Front

What is the first step to solve the equation 5(2x - 7) = 15x - 10?

Back

The first step is to apply the distributive property to expand the left side: 10x - 35 = 15x - 10.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation 4(3x − 5) = 5(2x + 4)?

Back

The solution is x = 20.

Front

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

Back

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

Front

What is the purpose of simplifying an equation?

Back

Simplifying an equation makes it easier to solve by reducing it to its most basic form.

Front

What is the solution to the equation 4(2x + 1) = 27 + 3(2x − 5)?

Back

The solution is x = 4.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of it have the same value.

Front

What is the solution to the equation 2v + 18 = 16 - 4(v + 7)?

Back

The solution is v = -5.