Flashcard 1: Equations and Inequalities

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5

Front

Solve the inequality -5m < 10. What is the solution for m?

Back

m > -2

Front

What is the solution to the inequality 3(x - 3) ≤ 2(x + 2)?

Back

x ≤ 13

Front

Solve the equation -20 = -4x - 6x. What is the value of x?

Back

x = 2

Front

What is the solution to the equation 4x + 10 = -26?

Back

x = -9

Front

Define 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 difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line and has an equal sign, while a linear inequality represents a region of the coordinate plane and uses inequality symbols.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.