Semester 1 Final Exam Review Topic 1 and Topic 2 -Part 1

Front

What is the first step in solving the equation: 5x + 7 = 12?

Back

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

Front

When graphing 'AND' inequalities, how does the shading look?

Back

Shading that always connects the 2 dots.

Front

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

Back

y - y₁ = m(x - x₁)

Front

Solve the equation: 3(x - 2) = 18.

Back

x = 8.

Front

Write the equation in slope-intercept form of the line that passes through the point (4, -7) with slope m = -1/4.

Back

y = -\frac{1}{4}x - 6.

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x.

Front

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

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

Front

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

Back

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

Front

What is an inequality?

Back

A mathematical statement that compares two expressions using <, >, ≤, or ≥.

Front

What does it mean for two lines to be parallel?

Back

They have the same slope and will never intersect.