First Semester Math 8 Review

Front

Which fraction, when converted, is a repeating decimal?

Back

5/7 is a repeating decimal because its decimal representation is 0.714285714285..., which continues indefinitely.

Front

Which of these numbers is rational?

Back

√16 is rational because it equals 4, which can be expressed as a fraction (4/1).

Front

What is the y-intercept of the line represented by 3y = 6x - 1?

Back

The y-intercept is -⅓, found by rewriting the equation in slope-intercept form (y = mx + b).

Front

Which equation has a linear graph?

Back

f(x) = ⅓x + 6 is linear because it can be expressed in the form y = mx + b.

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is the definition of a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats a sequence of digits indefinitely.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

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

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as simple fractions.