Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you simplify the expression 8(5 + w)?

Back

You apply the distributive property: 8 * 5 + 8 * w = 40 + 8w.

Front

What does the inequality 2 > p mean?

Back

It means that p can take any value less than 2.

Front

How do you represent the solution set for the inequality k < 3 on a number line?

Back

You would draw an open circle at 3 and shade to the left, indicating all numbers less than 3.

Front

What is an equation with no solution?

Back

An equation with no solution is one that is contradictory, such as x + 2 = x + 3.

Front

How do you solve the equation 19 + a = -50?

Back

Subtract 19 from both sides: a = -50 - 19, which simplifies to a = -69.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows the relationship between expressions that are not necessarily equal.

Front

What does it mean for a graph to represent an inequality?

Back

A graph representing an inequality shows the range of values that satisfy the inequality, often using shading and boundary lines.

Front

How can you check if a value satisfies an inequality?

Back

Substitute the value into the inequality and see if the statement is true.

Front

What is the solution set of the inequality p < 2?

Back

The solution set includes all real numbers less than 2.