Test Equations and Inequality review

Front

What is an equation?

Back

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

Front

What is an inequality?

Back

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

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) to maintain equality.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging an equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation 3x - 7 = 2x + 5?

Back

x = 12.

Front

What is the first step to solve the equation 2x + 1 = x + 3?

Back

Subtract x from both sides to simplify the equation.

Front

What is the cost of each Cookie cake if Class Z paid for 16 cakes and spent $110 on drinks, and Class Y paid for 21 cakes and spent $95 on drinks, with both classes spending the same amount?

Back

c = 3.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Front

What does it mean when two expressions are equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.