Solving Equations and Inequalities Flashcard

Front

What is the solution to the equation 7x + 6 + 2x = 60?

Back

x = 6

Front

Identify the error in the equation 19 - 2k = 3k - 1: +3k 19 + 1k = -1 -19 k = -20.

Back

Instead of adding 3k they should subtract 3k.

Front

Solve the equation 3(x - 1) = 2x + 9.

Back

x = 12

Front

Solve the inequality -4x + 14 ≤ 54.

Back

x ≥ -10

Front

What is the solution to the equation 4x + 2(x - 6) = 12?

Back

x = 4

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

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

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What is the first step in solving the equation 2(x + 3) = 14?

Back

Distribute the 2: 2x + 6 = 14.