Solving Equations and Inequalities

Front

What is the solution to the equation 6x + 5x = -11?

Back

x = -1

Front

How do you represent the inequality x >= 4 on a number line?

Back

A closed circle at 4 and a line extending to the right.

Front

What is the solution to the inequality -17 < 8 + y?

Back

y > -25

Front

How do you solve the inequality -9a - 1 < 26?

Back

Add 1 to both sides, then divide by -9, resulting in a > -3.

Front

What is the solution to the inequality s - 10 ≤ 1?

Back

s ≤ 11.

Front

What is the first step in solving a linear equation?

Back

Isolate the variable on one side of the equation.

Front

What does it mean when an inequality is represented with a closed circle on a number line?

Back

It indicates that the endpoint is included in the solution set.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

How do you solve an inequality involving a negative coefficient?

Back

When multiplying or dividing by a negative number, reverse the inequality sign.

Front

What is the solution set for the inequality 2x + 3 > 7?

Back

x > 2.