Linear Equations in One Variable

Front

What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be expressed in the form ax + b = 0, where a and b are constants and x is the variable.

Front

What does it mean to solve a linear equation?

Back

To solve a linear equation means to find the value of the variable that makes the equation true.

Tags

CCSS.7.EE.B.4A

Front

What is the solution of the equation 3x - 4 - 5x = x + 4 + x?

Back

The solution is x = -2.

Front

True or False: The solution of a linear equation is always an integer.

Back

False.

Tags

CCSS.8.EE.C.7B

Front

What is transposition in the context of linear equations?

Back

Transposition is the process of moving a term from one side of the equation to the other, changing its sign.

Tags

CCSS.6.EE.B.7

Front

Which equation has x = 5 as the solution?

Back

The equation 2x = 10 has x = 5 as the solution.

Tags

CCSS.6.EE.B.5

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is the total distance around it, calculated as P = 2(length + breadth).

Tags

CCSS.4.MD.A.3

Front

If the breadth of a rectangular garden is 2/3 of its length and the perimeter is 40 m, what are its dimensions?

Back

The dimensions are length = 12 m and breadth = 8 m.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

The first step is to subtract 3 from both sides of the equation.

Tags

CCSS.7.EE.B.4A

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value after performing operations.

Tags

CCSS.8.EE.C.7B