decimals Algebra Worksheets
Our Decimals Algebra Worksheets combine decimal operations with algebraic concepts to strengthen mathematical skills. These worksheets cover circle equations, algebraic expressions, percent problems, rational numbers, and scientific notation - providing comprehensive practice with decimals in algebraic contexts.
About these worksheets
Students practice expressing proportional relationships as equations and solving circle equations in standard form. These worksheets develop the ability to identify constants of proportionality, use variables to model real-world relationships, and apply algebraic techniques to geometric formulas. Suitable for seventh and eighth grade math.
About these worksheets
These worksheets cover a wide range of algebraic expression skills, from simplifying and expanding to factoring. Students practice combining like terms, using the distributive property, rewriting expressions as multiples of a sum, solving linear equations with variables on both sides, and expanding polynomials using the box method. Topics also include perfect square trinomials and matching equivalent expressions, making these resources ideal for sixth through eighth grade algebra.
Percent Word Problems as Decimal Expressions
- Turn a percent in a story problem into a decimal you can use in a calculation.
- Match a word problem to the correct decimal expression that represents “percent of” an amount.
- Decide when to multiply by a decimal to find a percent of a number and when to add or subtract to find the new total.
About these worksheets
These worksheets explore number concepts essential for middle school math, including square roots, cube roots, rational and irrational numbers, laws of exponents, scientific notation, radicals, and powers of ten. Students practice estimating radical values, simplifying expressions with exponents, and performing operations in scientific notation. Aligned with eighth grade Common Core standards, these resources build a strong number sense foundation for high school math.
Identifying Rational and Irrational Numbers
- Decide whether a number is rational or irrational.
- Recognize that fractions, integers, and whole numbers are rational because they can be written as a ratio of integers.
- Tell that terminating decimals and repeating decimals are rational numbers.
- Identify common irrational numbers like pi and square roots that do not simplify to a fraction.
Multiplying with Scientific Notation
- Multiply two numbers written in scientific notation.
- Multiply the coefficients and combine the powers of 10 using exponent rules.
- Rewrite answers in proper scientific notation by shifting the decimal and adjusting the exponent.