Solving equations and inequalities

Front

What is an equation?

Back

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

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 not equal to the other.

Front

How do you solve the equation 3y = -15?

Back

Divide both sides by 3: y = -15 / 3, so y = -5.

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the inequality -9x + 7 ≥ 25?

Back

x ≤ -2.

Front

How do you check if a 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 first step in solving the equation 5 = 7s - 9?

Back

Add 9 to both sides to get 14 = 7s.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of x that makes the equation true.