7th Grade Equations/Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically written in the form 'A = B'. For example, 2x + 3 = 7 is an equation.

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. For example, x + 5 > 10 is an inequality.

Tags

CCSS.7.EE.B.4B

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. For example, solving 2x + 3 = 7 gives x = 2.

Tags

CCSS.7.EE.B.4A

Front

What is the difference between a linear equation and a nonlinear equation?

Back

A linear equation is an equation of the first degree, meaning it graphs as a straight line (e.g., y = 2x + 1). A nonlinear equation involves variables raised to a power greater than one, resulting in curves (e.g., y = x^2).

Tags

CCSS.8.F.A.3

Front

What is the solution set of an equation?

Back

The solution set of an equation is the set of all values that satisfy the equation. For example, the solution set of x + 2 = 5 is {3}.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation. For example, in 2x + 3 = 7, subtract 3 from both sides and then divide by 2.

Tags

CCSS.7.EE.B.4A

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in the term 4x, 4 is the coefficient.

Tags

CCSS.6.EE.A.2B

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change. In the equation y = 2x + 5, the number 5 is a constant.

Tags

CCSS.6.EE.A.2B

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. For example, graphing y = 2x + 1 shows a straight line.