Q&A for How to Solve an Algebraic Expression

In your example, add 8 to both sides of the equation, then multiply both sides by 7.

Algebraic expressions are a quick way to represent somewhat complicated situations that may occur in real life. They are a "shorthand" approach to tangible problems that might arise.

Let x be the number. Then 3x - 5 = 5x - 15. Add 15 to both sides: 3x + 10 = 5x. Subtract 3x from both sides: 10 = 2x. Divide both sides by 2: 5 = x.

Simply substitute (-4) for every x in the expression: (-4)² - 8(-4) + 16 = (+16) - (-32) + 16 = (+16) + (+32) + 16 = 16 + 32 + 16 = 64.

The negative sign changes all the signs inside the parentheses. Once those signs are changed, you add everything inside the parentheses to anything else in the expression.

It's generally best to ask your teacher for help or find a tutor (there should be some available at your school, or if not, some companies that offer tutoring services in your neighborhood).

Multiply it by itself twice (for example, 2³ = 2 x 2 x 2). In other words, 2³ means to use the number 2 three times as a factor.

Algebraic fractions are simply fractions with algebraic expressions on the top, while an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations.

An empty set is a set with no elements (or numbers). An example would be "all negative numbers greater than zero."

First, subtract 7 from both sides of the equation, leaving r² = p-7. Then take the square root of both sides, so that r = √(p-7).

See Factor Algebraic Equations .

Subtract a from both sides: -3 = a + 5. Now subtract 5 from both sides: -8 = a.

Let's assume the equation is: 6 / (x - 4) = 5 / (x + 2). First cross-multiply: (6)(x + 2) = (5)(x - 4). So 6x + 12 = 5x - 20. Now subtract 5x from both sides: x + 12 = -20. Lastly, subtract 12 from both sides: x = -32.

As a verb, it means to estimate or come close to in quality or quantity. As an adjective, it means not exact.

Get help from someone who's good at explaining things in a way you can clearly understand. It could be a friend, a classmate, a family member, a teacher or a professional tutor. Don't stop asking questions until you understand the material so well you can explain it clearly to someone else.

See Breaking Down & Solving Rational Equations .

Ask your teacher or tutor for instructions or try to ask a trusted adult to help you if you're confused.

(3)(-2) = -6. (Positive times negative is always negative).

See Multiply Binomials , Factor Trinomials and related articles.

Let's assume the equation is 3(2x - 1) / 4 = [4(x + 2) / 3] - 3. Then (6x - 3) / 4 = [(4x + 8) / 3] - 3. Now multiply both sides of the equation by 12 to get rid of the fractions: 18x - 9 = (16x + 32) - 36. So 18x - 9 = 16x - 4. Subtract 16x from both sides: 2x - 9 = -4. Add 9 to both sides: 2x = 5, and x = 5/2. Plug that x-value into the original equation, and you'll find that it works.

That is a sum of squares, which can be factored, but it involves imaginary numbers. Assuming that's not what you want, there's no way to factor that expression by conventional means. (If that "plus" between the terms were a "minus," you would factor the expression as the difference of squares.)

You can't "solve" this because it's not an equation. Also, you need to know what the value of b is to solve this.

4(-4) or (4)(-4).

Subtract 3x on both sides, and add 15 to both sides. You're left with 10 = 2x, or x = 5.

Subtract 9 on both sides: -21 is less than or equal to 7x. Then divide by 7 on both sides: -3 is less than or equal to x.

3x is the variable of the expression that is controlled by x, -2 would be the number we subtract from the outcome of 3x if the variable is found. In order to solve this equation, we would have to know what 3x-2 equals. Once we know that, then we can add positive 2 to both sides and divide by 3 to get the variable alone and get the value of x. Then we can plug in the value for x to solve the equation properly.

9(3) - 4(8) - 5 = 27 - 32 - 5 = -10.

See the wikiHow How to Simplify Algebraic Expressions to help you with this.

Multiply both sides of the equation by the product of the two denominators. That will eliminate both denominators. Then solve for P by isolating it on one side of the equation.

Find the squared root of both sides and factor out the terms containing a. A=48.99. Or A=49.99. That is to say,when we take the square root of both sides, we have √128.5^2=√(79.26+a)^2+√a^2, 128.5^(1/2×2/1)=(79.26+a)^(1/2×2/1) +a^(1/2×2/1). The squared root sign cancels the squares. Grouping like terms together and factoring out a. Implies: a(a-1)=128.25_79.26=48.99, A=48.99. Or, A=49.99.