In mathematics, a proportion is an equation that states that two ratios are equal. It can be written in the form a/b = c/d, where a, b, c, and d are numbers and b and d are not zero. Proportions are used to compare the relative sizes of different quantities. When two ratios are equal, they form a proportion.

Find the missing number in the proportion: 3/5 = x/15

Using the property of proportions, we can cross multiply to solve for the missing number. This means we multiply the extremes (3 * 15) and the means (5 * x), and then set the two products equal to each other:

3 * 15 = 5 * x 45 = 5x x = 9So, the missing number in the proportion is 9.If 4/7 = 12/y, find the value of y.

Again, we can use the property of proportions to solve for the missing number. We cross multiply the extremes (4 * y) and the means (7 * 12), and then set the two products equal to each other:

4y = 7 * 12 4y = 84 y = 21So, the value of y is 21.- If 2/3 = x/9, find the value of x.
- If 5/8 = 25/y, find the value of y.
- If 9/12 = 15/x, find the value of x.

Once you've completed the practice problems, you can check your answers below:

- x = 6
- y = 40
- x = 20

Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.