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How do you solve multistep equations?

Combine all like termsLike terms in an expression are terms that feature the same variable and the same degree. For example, 5x and 3x are like terms, while 6x and 3y or 5x^2 and 3x are not. For practice, work with the equation 3(x + 5) + 4x + 6 - 5x = 3x - 2. On the left side, 4x and -5x can be added to yield -x. If you use the distributive property, 3(x + 5) converts to 3x + 15, leaving 3x, 4x and -5x as like terms on the left side of the equation.Follow the order of operations as necessaryThe order of operations is parentheses, exponents, division, multiplication, addition then subtraction...

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What is the mode of a set of numbers?

The easiest method of calculating the mode is to put all of the numbers in the set in numerical order and then count which number occurs the most times. It is possible to have more than one mode if multiple numbers in a set occur the same number of times. There are special terms for having two modes (bimodal) and having more than two modes (multimodal).

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Does a rhombus have rotational symmetry?

A rhombus is a parallelogram with four equal sides. This definition includes squares, which have additional forms of rotational symmetry. A rhombus has equal and opposite acute angles and equal and opposite obtuse angles. When working with rotational symmetry, it is common to focus on just the overall shape of the object and not any patterns or colors, as this could affect the result.

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What does "prime" mean in math?

Numbers with more than two positive factors are called composite numbers. For example, the number six is a composite number because it has the factors two and three in addition to one and six. All prime numbers greater than two are odd numbers, because all even numbers have two as a factor. Likewise, any prime number greater than five cannot end in the number five, because numbers ending in five have five as a factor.

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What are the three steps to multiplying fractions?

A simple example of how to multiply fractions is the multiplication of 1/2 x 4/5. In these fractions, the top numbers are the numerators and the bottom numbers are the denominators.Multiple the numeratorsWrite down the fractions as 1/2 x 4/5. Multiply the top numbers, 1 x 4, which equals 4.Multiply the denominatorsLook at the denominator of each fraction and multiply them together. In this example, the denominators are 2 x 5, which equals 10.Write down the resulting answer in fraction form and simplify it Express the answer as the fraction 4/10, which simplifies to 2/5 when the numerator and d..

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Who created fractions?

Egyptian numeral hieroglyphs were used to represent numbers of various sizes, and included the numbers one through 100,000. Fractions were also denoted in pictographs, and they had different representational objects than whole numbers. Egyptians described fractions in units, which had the number "one" as the numerator, or top number. Instead of placing a straight line beneath the numerator to separate it from the denominator, Egyptians used the image of a mouth; the mouth meant "part," and served as an appropriate symbol for partitioning the two numbers in fractions. The Egyptian system of rep..

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What are some examples of math trivia?

Another fun trivia fact is that the number 142,847 is cyclic, meaning that its digits switch positions in a cycle when the figure is multiplied by any number from 1 to 6. For example, 142,857 × 1 = 142,857, while 142,857 × 5 = 714,285, 142,857 × 4 = 571,428 and 142,857 × 6 = 857,142. When multiplying 1089 by 9, the answer is its exact reverse: 9801.\nMost mathematical symbols were invented in the 16th century, before which math problems were expressed in words. The Fibonacci sequence is manifest in nature. An example of the Fibonacci sequence includes the pattern of leaves around the stems..

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How do you calculate cubic area?

Use the correct formulaThe formula to calculate the surface area of a cube is A = 6a^2, where a equals one edge of the cube.Calculate the area of one sideCalculate the area of one side of the cube by calculating the square of the length of one side of the cube.Calculate the surface areaMultiply the area of the side of the cube by 6 to get the total surface area of the cube.

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How do you find the base of a triangle?

Substitute numbers for area and heightPut the area before the equals sign, and replace the letter h with the height. For example, if the area is 15 centimeters, and the height is 10 centimeters, the equation would look like this: 15 = 1/2 x b x 10.Multiply 1/2 by the heightCalculate 1/2 x h/1 to get h/2. For example, 1/2 x 10/1 equals 10/2, which equals 5. Now the equation looks like this: 15 = 5b.Isolate the b variableTo isolate b, divide the entire equation by the number on the same side of the equation as b. For example, 15 = 5b becomes 15/5 = 5b/5. Five divided by 5 equals 1, so b is now a..

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What is the square root of 208?

The number 208 is considered an imperfect square because the square root of the number ends in a decimal point. A perfect square is the square of a whole number. For instance, the square root of 16 is 4 and 4 x 4 = 16. Sixteen is considered a perfect square because it is a whole number.The universal symbol for the square root is called a radical. This symbol looks like a check mark with a line across the top going to the right.

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