Flashcard 1: Equations and Inequalities

Front

What is the solution to the equation 19 + a = -50?

Back

a = -69

Front

Solve the equation -5x = 25.

Back

x = -5

Front

What is the value of k in the equation 38 + 7k = 8(k + 4)?

Back

k = 6

Front

Solve the equation -20 = -4x - 6x.

Back

x = 2

Front

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

Back

x ≤ 13

Front

Define a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

Front

What is an inequality?

Back

An inequality is a mathematical statement that indicates one quantity is larger or smaller than another.

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 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

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.