Solve Linear Equations in Real-World Contexts

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Solve for k: 2k + 5 = -9

Back

k = -7

Front

Solve for r: 3r - 4 = 26

Back

r = 10

Front

Solve for m: 5m + 3 = 43

Back

m = 8

Front

What equation can you use to find n if 5n = 45?

Back

n = \frac{45}{5}

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.

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.

Front

What is the first step in solving the equation 4x + 7 = 31?

Back

Subtract 7 from both sides to isolate the term with the variable.

Front

If 2x = 10, what is x?

Back

x = 5

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.