8 Math Midterm Review

Front

How many solutions are there to the equation 3x + 5 = 2x - 4?

Back

1 solution. This is found by isolating x: 3x - 2x = -4 - 5, which simplifies to x = -9.

Front

What happens when the exponent is a positive number?

Back

You will get a large number. Positive exponents indicate repeated multiplication.

Front

What type of number is a fraction?

Back

A fraction is a rational number, as it can be expressed as the ratio of two integers.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Simplify the expression 5x^3 * 2x^2.

Back

The simplified expression is 10x^5.

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 does it mean if a number has an exponent of 0?

Back

Any non-zero number raised to the power of 0 equals 1.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

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 a simple fraction.

Front

What is the formula for the area of a rectangle?

Back

The area (A) is calculated as A = length × width.