8th Grade Semester 1 Review

Front

What is the rule for translating a point (x, y) 4 units to the left and 5 units up?

Back

(x, y) → (x - 4, y + 5)

Front

How do you determine the slope of a line from a graph?

Back

The slope is the ratio of the vertical change to the horizontal change between two points on the line.

Front

What is the formula to calculate total pay based on a fixed salary and variable pay per mile driven?

Back

y = mx + b, where m is the pay per mile and b is the fixed salary.

Front

What is the total cost formula for buying sets of books with a shipping fee?

Back

Total Cost = (Cost per set × Number of sets) + Shipping fee.

Front

What is the effect of a 180° rotation on a point (x, y) in the coordinate plane?

Back

(-x, -y)

Front

Define a trapezoid in geometry.

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change, such as speed or growth rate.

Front

How do you find the total amount paid if you know the miles driven and the pay per mile?

Back

Multiply the miles driven by the pay per mile and add any fixed salary.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the value of y when x = 0, representing the starting point of the function.

Front

What is a coordinate grid?

Back

A coordinate grid is a two-dimensional plane formed by the intersection of a vertical line (y-axis) and a horizontal line (x-axis).