Writing Equations & solving equations

Front

What does the term 'Product' mean in mathematics?

Back

The term 'Product' refers to the result of multiplication.

Tags

CCSS.4.NBT.B.5

Front

How do you solve the equation 7x - 4 = 3 + 8x?

Back

To solve the equation, first rearrange it to isolate x: 7x - 8x = 3 + 4, which simplifies to -x = 7, thus x = -7.

Front

What does the term 'Difference' mean in mathematics?

Back

The term 'Difference' refers to the result of subtraction.

Tags

CCSS.5.NBT.B.7

Front

How do you solve the equation 4x - 5x + 9 = 5x - 9?

Back

Combine like terms: -x + 9 = 5x - 9. Then, isolate x: 9 + 9 = 5x + x, which simplifies to 18 = 6x, thus x = 3.

Front

How do you solve for x in the equation 5x - 14 = 8x + 4?

Back

Rearrange the equation: 5x - 8x = 4 + 14, which simplifies to -3x = 18, thus x = -6.

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.

Tags

CCSS.8.EE.C.7B

Front

What is the importance of isolating the variable in an equation?

Back

Isolating the variable allows you to find its value by getting it alone on one side of the equation.

Tags

CCSS.6.EE.B.7

Front

What does it mean to 'combine like terms' in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + B = C, where A, B, and C are constants.

Front

What is the solution to an equation?

Back

The solution to an equation is the value of the variable that makes the equation true.