What is the difference between evaluate and solve

Uh, sure. Just finding your blog and am reading through the different posts, and enjoying it a lot. A slight quibble:.

Glad you enjoy it. I hate formal logic. In general, they seem to know math very well, at a level above even other American math teachers. This is anecdotal, of course. However, I do wonder if the Swedish guy was right in claiming that integrating math early on can help with a broader degree of understanding of algebra? Because the Soviet curriculum integrated math, including algebra, at a much slower pace at much earlier grades, which might make it a lot more accessible to a lot more people than dumping all that abstraction on kids in grade 9.

Integrating math has always, but always, failed in America. Not just in popularity, but also as demonstrated by learning and test scores. You are commenting using your WordPress. You are commenting using your Google account. You are commenting using your Twitter account. You are commenting using your Facebook account.

Notify me of new comments via email. Notify me of new posts via email. Home About. September 23, By educationrealist. Feel free to clarify in the comments. Now try the following with an online graphing tool:. Improve this page Learn More. Skip to main content. Module 5: Function Basics. Search for:. Evaluate functions given tabular or graphical data. Replace the input variable in the formula with the value provided. Calculate the result. Because the input value is a number, 2, we can use algebra to simplify.

How To: Given a function in equation form, write its algebraic formula. Solve the equation to isolate the output variable on one side of the equal sign, with the other side as an expression that involves only the input variable.

Use all the usual algebraic methods for solving equations, such as adding or subtracting the same quantity to or from both sides, or multiplying or dividing both sides of the equation by the same quantity.

How To: Given a function represented by a table, identify specific output and input values. Find the given input in the row or column of input values. Translate English Phrases into Algebraic Expressions. In the following exercises, translate the given word phrase into an algebraic expression.

The difference of and. The product of and. The sum of and. The quotient of and. Eight times the difference of and nine. Seven times the difference of and one. Five times the sum of and. Nine times five less than twice. Adele bought a skirt and a blouse. The skirt cost more than the blouse. Let represent the cost of the blouse. Write an expression for the cost of the skirt. Eric has rock and classical CDs in his car. The number of rock CDs is more than the number of classical CDs.

Let represent the number of classical CDs. Write an expression for the number of rock CDs. The number of girls in a second-grade class is less than the number of boys. Let represent the number of boys. Write an expression for the number of girls. Marcella has fewer male cousins than female cousins. Let represent the number of female cousins. Write an expression for the number of boy cousins. Greg has nickels and pennies in his pocket. The number of pennies is seven less than twice the number of nickels.

Write an expression for the number of pennies. Jeannette has and bills in her wallet. The number of fives is three more than six times the number of tens. Let represent the number of tens. Write an expression for the number of fives.

This means that he pays and his insurance company will pay all costs beyond If Justin files a claim for how much will he pay, and how much will his insurance company pay? This means that they pay and their insurance company will pay all costs beyond If Pam and Armando file a claim for how much will they pay, and how much will their insurance company pay? Skip to content The Language of Algebra. Learning Objectives By the end of this section, you will be able to: Evaluate algebraic expressions Identify terms, coefficients, and like terms Simplify expressions by combining like terms Translate word phrases to algebraic expressions.

Before you get started, take this readiness quiz. Is an expression or an equation? If you missed this problem, review Figure. Simplify If you missed this problem, review Figure. Evaluate Algebraic Expressions In the last section, we simplified expressions using the order of operations.

Some examples of terms are The constant that multiplies the variable s in a term is called the coefficient. Term Coefficient An algebraic expression may consist of one or more terms added or subtracted. Expression Terms Identify each term in the expression Then identify the coefficient of each term.

Identify all terms in the given expression, and their coefficients:. Identify the like terms in the list or the expression:. Simplify Expressions by Combining Like Terms We can simplify an expression by combining the like terms. We can see why this works by writing both terms as addition problems. Now it is easier to see the like terms to be combined.

Combine like terms. Translate Words to Algebraic Expressions In the previous section, we listed many operation symbols that are used in algebra, and then we translated expressions and equations into word phrases and sentences. Operation Phrase Expression Addition plus the sum of and increased by more than the total of and added to Subtraction minus the difference of and subtracted from decreased by less than Multiplication times the product of and , , , Division divided by the quotient of and the ratio of and divided into , , , Look closely at these phrases using the four operations: the sum of and the difference of and the product of and the quotient of and Each phrase tells you to operate on two numbers.

Key Concepts Combine like terms. Identify like terms. Rearrange the expression so like terms are together. Add the coefficients of the like terms. Practice Makes Perfect Evaluate Algebraic Expressions In the following exercises, evaluate the expression for the given value. The sum of 8 and