Ch. 7 - Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, which can include numbers, variables, and operations.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown number in an equation.

Front

What is the purpose of using equations in real life?

Back

Equations help us model and solve problems involving relationships between quantities.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other.

Front

What is the equation for finding the total cost of multiple items?

Back

The equation is: Total Cost = Number of Items × Cost per Item.

Front

If y + 1/2 = 3/4, what is the value of y?

Back

y = 3/4 - 1/2 = 1/4.

Front

If Mercedes is 132 cm tall and this is twice her brother's height, how do you find her brother's height?

Back

You divide Mercedes' height by 2: Brother's height = 132 cm / 2 = 66 cm.

Front

What equation represents one third of a total number of items?

Back

If t is the total number of items, then one third is represented as t/3.

Front

How do you set up an equation for the cost of items?

Back

If x is the cost of each item and you buy 2 items for a total of $4.50, the equation is: 2x = $4.50.