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 .

See Breaking Down & Solving Rational Equations .

All three of those terms can be combined because they are "like" terms. They combine into 13x²y. ("Like" terms each have the same variables carrying the same exponents. They do not have to have the same coefficients.)

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.

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

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.

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

All you can do is find the value of one variable in terms of the other. Thus, m = (4.25 - 3a) / 4, and a = (4.25 - 4m) / 3.

-2(-2)(2) + 5 = 4(2) + 5 = 8 + 5 = 13. Thirteen is your correct answer with a w value of -2.

Here it is: S^2 - 6s + 5.

531.6/1000 = 0.5316 (you move the decimal place 3 places to the left because you’re dividing and there are 3 zeros.)

You can't 'solve" this because it's not an equation, this is only an expression.

The only way m could equal 7m is if m equals zero. In that case, 6m also equals zero.

That expression is the difference of squares. x² - 64 = (x + 8)(x - 8).

(-4)(-36) + 3(64) = +144 + 192 = 336.

If the expression is 2(p + q), it becomes 2p + 2q. If the expression is (p + q)², it becomes (p + q)(p + q) = p² + 2pq + q².

The left side of that equation combines into 1.05x. Now divide both sides of the equation by 1.05, and what's left is x = 1400.

You can't solve that expression, because it's not an equation. If you don't want to leave it in that form, you can distribute the 3: 6x + 6.

Ordinarily we would say that this equation is not solvable, because there are two variables in it. However, in this case if we combine like terms on the left side, we find that 8p + 13 = np + 13, so that n must equal 8. That leads to the trivial identity 8p = 8p, which leaves us unable to solve for p.

First simplify the expression by combining like terms, paying close attention to the parentheses and brackets: what's inside the brackets becomes [-a + 2c]. So the full expression becomes a - [-a + 2c] = 2a - 2c. Then plugging in the values given for the variables, the expression becomes (2)(0) - (2)(3) = -6.