Grade 8 Math SBAC

Front

How do you translate a triangle in a coordinate plane?

Back

To translate a triangle, you add or subtract values from the x and y coordinates of each vertex. For example, translating triangle A'B'C' to triangle ABC by (x-2, y+9) means moving each vertex 2 units left and 9 units up.

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x. In the equation y = 4x + 3, the slope is 4.

Front

How do you convert scientific notation to standard form?

Back

To convert from scientific notation (e.g., 8.317 x 10^6) to standard form, move the decimal point to the right by the number of places indicated by the exponent. For 8.317 x 10^6, the standard form is 8,317,000.

Front

What is the solution to the equation 3v = 45?

Back

To solve for v, divide both sides by 3. Thus, v = 15.

Front

Why do parallel lines never intersect?

Back

Parallel lines never intersect because they have the same slope, meaning they rise and run at the same rate.

Front

What is the formula for the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means one slope is the negative reciprocal of the other.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept is found by setting x = 0 in the equation and solving for y.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².