Solving Equations and Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or equal to the other.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation x - 5 = 7 - 2x?

Back

Add 2x to both sides of the equation.

Front

How do you represent a situation where you cannot exceed a certain amount using an inequality?

Back

You use the 'less than or equal to' (≤) symbol to represent that the value cannot exceed a certain limit.

Front

What is the solution to the equation 5(2x-1)=-5+10x?

Back

All real numbers.

Front

What is the purpose of the down payment in a purchase?

Back

A down payment reduces the total amount financed and shows the buyer's commitment to the purchase.

Front

How do you model a monthly payment scenario with an inequality?

Back

You can use the form: total monthly payments + down payment ≤ total budget.

Front

What does the term 'no solution' mean in the context of equations?

Back

'No solution' means that there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation 3(x+1)=2x+8?

Back

x = 5.

Front

What is the significance of the $ sign in a word problem involving money?

Back

The $ sign indicates that the values being discussed are monetary amounts.