Math 2 FOundations Flashcard 1

Front

What is a solution set in mathematics?

Back

A solution set is a collection of all the values that satisfy a given equation or inequality.

Front

How do you simplify the expression 3a + 7 - 2a?

Back

To simplify, combine like terms: 3a - 2a + 7 = a + 7.

Front

What is 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

How do you find the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

How do you simplify the expression 2(c - 8)?

Back

Use the distributive property: 2(c - 8) = 2c - 16.

Front

What is the first step in solving the equation 5x + 7 = 12?

Back

The first step is to isolate the variable by subtracting 7 from both sides: 5x = 5.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the values you found satisfy the original equation, confirming their validity.

Front

What is a linear equation?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.