Sample Check-In 2.0 Mathematics Grade 8 A

Front

What is an irrational number?

Back

Front

What happens to the coordinates of a triangle when it is dilated by a scale factor of 1/2?

Back

When a triangle is dilated by a scale factor of 1/2, each coordinate of the triangle's vertices is multiplied by 1/2. For example, the vertex (4, 8) becomes (2, 4).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image. For example, reflecting point M(3,4) over the y-axis results in M'(-3,4).

Front

How do you determine the number of solutions for the equation 8x + 6 = 14 - 4(2 - 2x)?

Back

To find the number of solutions, simplify the equation. If the equation simplifies to a true statement (like 0=0), it has infinitely many solutions. If it simplifies to a false statement (like 0=5), it has no solutions.

Front

What is a function in mathematics?

Back

A function is a relation where each input (x-value) has exactly one output (y-value). For example, in the set (1, 1), (2, 1), (3, 3), (4, 4), y is a function of x.

Front

What is the formula for dilating a point (x, y) by a scale factor k?

Back

The formula for dilating a point (x, y) by a scale factor k is (kx, ky).

Front

What is the difference between rational and irrational numbers?

Back

Front

What does it mean for a transformation to be a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the significance of the x-axis in reflections?

Back

Reflecting over the x-axis changes the sign of the y-coordinate of each point, while the x-coordinate remains the same.

Front

How do you identify a function from a set of ordered pairs?

Back

To identify a function, check that no x-value is repeated with a different y-value. If each x-value corresponds to one y-value, it is a function.