A1 Basic Fall Final 2024

Front

Find the slope of the line passing through the points (-12, 5) and (0, -8).

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1). For the points (-12, 5) and (0, -8), m = (-8 - 5) / (0 - (-12)) = -13 / 12 = -1/4.

Front

What is the result of expanding the expression -5(x + y + 2)?

Back

The expanded form is -5x - 5y - 10.

Front

How do you express '2 less than the product of 5 and s' in algebraic form?

Back

The expression is 5s - 2.

Front

Solve the equation: 7w + 5 = 3w - 15. What is the value of w?

Back

w = -5.

Front

Solve for x in the equation: 2x + 3 = 23.

Back

x = 10.

Front

What is the formula for calculating the slope of a line?

Back

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

Front

Define a linear equation.

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one. It can be written in the form ax + b = 0.

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to isolate the variable on one side of the equation to find its value.

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a by each term inside the parentheses.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operators without an equality sign, while an equation states that two expressions are equal.