7A Review

Front

What is the square root of 7? Is it rational or irrational?

Back

Irrational

Front

Identify √25 as a rational or irrational number and explain your reasoning.

Back

Rational, because √25 = 5, which is a whole number.

Front

Solve the equation: 3x - 7 = 5x + 1

Back

x = -4

Front

Simplify the expression: (7^3)^4

Back

7^{12}

Front

Simplify y^35 / y^33

Back

y^2

Front

What is 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 an irrational number?

Back

An irrational number cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

Front

What is the product of two powers with the same base?

Back

When multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the quotient of two powers with the same base?

Back

When dividing two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the value of 7^0?

Back

7^0 = 1, because any non-zero number raised to the power of zero is 1.