1st Semester Algebra Review

Front

Given f(x) = -4x - 10 and f(x) = 10. Find x

Back

x = -5

Front

If a system of equations has infinitely many solutions, what does the graph look like?

Back

The graph consists of the same lines.

Front

What is the first step to solve this equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

The cost of a cheese pizza is $15.00. Each topping is an additional $0.75. What is the slope in this situation?

Back

The slope is $0.75.

Front

If a system of equations has one solution, what does the graph look like?

Back

The graph consists of intersecting lines.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the line.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is 3.

Front

What does it mean for two lines to be parallel?

Back

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