Algebra Review (1/18)

Front

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

Back

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What does it mean for a line to have a slope of -3?

Back

A slope of -3 indicates that for every 1 unit increase in x, the value of y decreases by 3 units.

Front

How do you simplify the expression 8x + 2 + 10x + 1?

Back

Combine like terms: 8x + 10x = 18x and 2 + 1 = 3, so the simplified expression is 18x + 3.

Front

What is the solution to the equation x + 8 = 15?

Back

To solve for x, subtract 8 from both sides: x = 15 - 8, so x = 7.

Front

How do you simplify the expression 9z - 21 - 3z + 10?

Back

Combine like terms: 9z - 3z = 6z and -21 + 10 = -11, so the simplified expression is 6z - 11.

Front

Back

The y-intercept is the value of y when x = 0. For this equation, when x = 0, y = -3.

Front

What is the definition of a linear equation?

Back

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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.