6th Grade Equations and Inequalities Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean for a number to be a solution of an equation?

Back

A number is a solution of an equation if, when substituted for the variable, it makes the equation true.

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

How do you represent a situation where one person worked more hours than another using an equation?

Back

You can express it as: hours worked by person A = hours worked by person B + additional hours.

Front

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

Back

x = 1.

Front

If k + 3 = 12, how do you solve for k?

Back

Subtract 3 from both sides: k = 12 - 3, so k = 9.

Front

What point does the graph of y = x NOT pass through?

Back

The graph does not pass through (12, 14) because 12 does not equal 14.

Front

How do you check if x = 12 is a solution to the equation x + 15 = 4?

Back

Substitute 12 into the equation: 12 + 15 = 27, which is not equal to 4, so NO.

Front

What is the relationship between the coefficients in a linear equation?

Back

The coefficients determine the slope and position of the line on a graph.

Front

What does it mean to graph an equation?

Back

Graphing an equation means plotting all the points that satisfy the equation on a coordinate plane.