Solving linear equation word problems

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one, and it can be written in the form ax + b = c, where a, b, and c are constants.

Front

How do you translate a word problem into a linear equation?

Back

To translate a word problem into a linear equation, identify the variables, determine the relationships between them, and express these relationships using mathematical operations.

Tags

CCSS.8.EE.C.7B

Front

What does 'consecutive integers' mean?

Back

Consecutive integers are integers that follow each other in order, such as n, n+1, n+2.

Tags

CCSS.6.EE.B.6

Front

What is the process to solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations, such as addition, subtraction, multiplication, or division.

Tags

CCSS.7.EE.B.4A

Front

What does 'twice a number' mean in mathematical terms?

Back

'Twice a number' means to multiply the number by 2, represented as 2x, where x is the number.

Tags

CCSS.6.EE.A.2A

Front

How do you represent 'five less than' a number mathematically?

Back

'Five less than' a number x is represented as x - 5.

Tags

CCSS.6.EE.A.2A

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

How can you express 'the sum of three consecutive integers' mathematically?

Back

The sum of three consecutive integers can be expressed as x + (x + 1) + (x + 2) = 3x + 3.

Tags

CCSS.6.EE.B.6

Front

What does 'half a number' mean in mathematical terms?

Back

'Half a number' means to divide the number by 2, represented as 1/2x.

Tags

CCSS.6.EE.A.2A

Front

How do you represent 'less than' in an equation?

Back

'Less than' indicates subtraction; for example, '10 less than a number x' is represented as x - 10.

Tags

CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2