Unit 1 Review

Front

What is the solution for y in the equation if x = 4?

Back

To solve for y, you would need the equation that relates y and x. If x = 4, substitute 4 into the equation to find y.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is the Additive Inverse Property?

Back

The Additive Inverse Property states that for any number a, there exists a number -a such that a + (-a) = 0.

Front

What are irrational numbers?

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction. They are non-repeating and non-terminating decimals.

Front

How do you evaluate the expression 11^2 - 8 ⋅ 7 + 2?

Back

First, calculate 11^2 = 121. Then, calculate 8 ⋅ 7 = 56. Finally, evaluate 121 - 56 + 2 = 67.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as such and have non-repeating, non-terminating decimal expansions.

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum: a + b = b + a.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change their sum: (a + b) + c = a + (b + c).