Writing and Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

Write an equation to represent the situation: Mai makes bracelets to sell. She made $126 last month selling each bracelet for $3.

Back

3b = 126, where b is the number of bracelets.

Front

How do you find the number of bracelets sold if each bracelet costs $3 and the total earnings are $126?

Back

Divide the total earnings by the price per bracelet: b = 126 / 3 = 42.

Front

Write an equation to find the number of cards Marco was given for his birthday if he had 26 cards and now has 132 cards.

Back

26 + x = 132, where x is the number of cards given.

Front

How do you find the number of cards given to Marco?

Back

Subtract the number of cards he originally had from the total: x = 132 - 26 = 106.

Front

What is the solution to the equation x ÷ 5.3 = 22?

Back

x = 22 * 5.3 = 116.6.

Front

Write an equation to represent the situation: Farmer Jones collects 36 eggs a day, and each hen lays 3 eggs per day. How many hens does he have?

Back

3h = 36, where h is the number of hens.

Front

How do you find the number of hens if each lays 3 eggs and the total collected is 36 eggs?

Back

Divide the total eggs by the eggs per hen: h = 36 / 3 = 12.

Front

What is the solution to the equation x - 17 = -14?

Back

x = -14 + 17 = 3.