Writing and Solving Equations

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 does it mean to isolate a variable in an equation?

Back

Isolating a variable means manipulating the equation to get the variable on one side of the equation by itself.

Front

What is the first step to solve the equation 2/3 x = 16?

Back

Multiply both sides by the reciprocal of 2/3, which is 3/2.

Tags

CCSS.6.EE.B.7

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Tags

CCSS.6.EE.B.5

Front

What is the formula to calculate total cost when downloading songs?

Back

Total cost (t) = cost per song (0.99) × number of songs (s).

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the term 'variable' mean in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Tags

CCSS.6.EE.A.2B

Front

How do you solve the equation x - 62 = 123?

Back

Add 62 to both sides to isolate x.

Tags

CCSS.6.EE.B.7

Front

What is the purpose of using equations in real-life situations?

Back

Equations help model and solve problems involving relationships between quantities.

Tags

CCSS.7.EE.B.4A

Front

What does it mean to 'model' a situation with an equation?

Back

Modeling a situation means creating an equation that represents the relationships and conditions of that situation.

Front

What is the solution to the equation d - 5 = 37?

Back

d = 37 + 5, so d = 42.

Tags

CCSS.6.EE.B.7