Math 7 SOL Flashcard (Patterns, Functions & Algebra)

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true. For example, solving n ≥ 20 means finding all n values that are greater than or equal to 20.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

A closed circle indicates that the number is included in the solution (e.g., x ≤ 5), while an open circle indicates that the number is not included (e.g., x < 5).

Front

How do you represent 'three times a number' algebraically?

Back

'Three times a number' is represented as 3x, where x is the variable representing the number.

Front

What is the solution to the inequality 30 + n ≥ 50?

Back

The solution is n ≥ 20.

Front

What does the equation y = x + 4 represent?

Back

This equation represents a linear relationship where for every increase of 1 in x, y increases by 1, starting from 4.

Front

How do you solve for a in the equation 2a + 6 = 0?

Back

To solve for a, subtract 6 from both sides to get 2a = -6, then divide by 2 to find a = -3.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, x is the variable.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value. For example, in 2 + 3 = 5, both sides equal 5.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. For example, f(x) = 2x is a function.