Equations & Inequalities

Front

What is an equation?

Back

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

Tags

CCSS.6.EE.A.2C

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the equation -11 - 5a = 6(5a + 4)?

Back

To solve, first distribute the 6: -11 - 5a = 30a + 24. Then, combine like terms and isolate 'a' to find a = -1.

Front

What is the solution set for the inequality -2x + 3(-4x + 6) ≤ 116?

Back

The solution set is x ≥ -7.

Front

How do you solve the equation 3x + 2(4x - 4) = 3?

Back

Distribute the 2: 3x + 8x - 8 = 3. Combine like terms and isolate 'x' to find x = 1.

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation 14p - 8 = 22 + 20p?

Back

To solve, rearrange the equation to isolate 'p': 14p - 20p = 22 + 8, resulting in p = -5.

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation, if possible, by combining like terms and distributing.

Tags

CCSS.8.EE.C.7B

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.