Solving Expressions and Equations

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign (=).

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 a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate 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 3(x - 4) = -3?

Back

x = 3.

Front

How do you graph an inequality?

Back

To graph an inequality, first graph the corresponding equation as a line, then use a dashed line for < or > and a solid line for ≤ or ≥.

Front

What does the inequality x ≥ -2 represent?

Back

It represents all values of x that are greater than or equal to -2.

Front

Translate the sentence: 'Four more than six times a number is 18' into an equation.

Back

4 + 6x = 18.

Front

What is the solution to the inequality 15 + 7x ≥ 29?

Back

x ≥ 2.