8th grade Math End of Year Review #4

Front

What is the result of translating a point T(2, -5) three units to the right and six units up?

Back

T' would be at (5, 1).

Front

What is the probability of drawing a green marble from a bag of 17 marbles (4 blue, 6 green, 2 red, and 5 yellow) and then drawing another green marble?

Back

The probability is 15/136.

Front

What is the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

The equation is y = 2/3x - 3.

Front

Solve the equation: 3(x - 1) = 2x + 9.

Back

x = 12.

Front

What is a three-dimensional figure constructed from identical cubes called?

Back

It is called a polyhedron.

Front

Define slope in the context of a linear equation.

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How do you find the probability of an event?

Back

Probability is found by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

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

Back

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