Solving Equations Review

Front

Simplify: - (x + 2) + 3x + 8

Back

2x + 6

Front

What is the best first step to solve the equation: 5 (x-4) + 3x -2 = 4 (2x-1)?

Back

Distribute the 5 & 4

Front

Solve for x: 2x - 12 = -5x + 4x

Back

x = 4

Front

Write an equation for the scenario: John has a 300 ft head start, running at 250 ft/min, while Mary runs at 400 ft/min. How long before Mary catches up?

Back

300 + 250m = 400m

Front

Solve for x: 12 = -4 (-6x - 3)

Back

x = 0

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.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

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.