Solving Equations - Algebra 1

Front

What is an equation?

Back

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

Tags

CCSS.6.EE.A.2C

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Tags

CCSS.8.EE.C.7B

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Tags

CCSS.6.EE.A.3

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation and the constants on the other.

Tags

CCSS.7.EE.B.4A

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 graphs as a straight line.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

v = 10.

Tags

CCSS.8.EE.C.7B

Front

How do you combine like terms?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What is the process to solve 5x - 14 = 8x + 4?

Back

Rearrange the equation to isolate x: 5x - 8x = 4 + 14, leading to x = -18/3.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

Tags

CCSS.8.EE.C.7A

Front

What is the solution to the equation ½ (2x + 6) = 3x + 13?

Back

x = -5.