Step regular equations(214)

2x=10 is single step equation. 7x + 10=38 is an equation that involves one more step, getting rid of the 10. 38-10=28, so 7x=28. Divide by 7 on both sides making x be by itself. Then you get x=4 because 28/7=4.

Combining like terms(216)

A like term in algebra is like 2x and 4x, or 10y and y, or 12 and 6. These pairs are all like terms because they stand with the same variable, or not. You need to know this if you solve a multi-step equation, because those extra steps involve combining like terms. The equation 4x+23+8x-18=29 is a multi-step equation. You combine like terms by adding 4x and 8x to get 12x. Then you subtract 18 from 23, giving you 5. The 2-step equation would be 12x+5=29. You know that the answer for x would be 2 in review from.

Variables on both sides(217)

When there is an equation with variables on both sides, you have to basically switch on whole side of the of the equation to equal a number without a variable. The equation 2x+7y-13=23x+15-30y has two different variables on both sides. You combine like terms from the two sides, simplifying the equation to -13=21x+15-23y when you combine the x and y’s. Now you need to know another trick to subtract 15 from -13.

Dealing with negatives(218)

-13 is a negative integer. You subtract 15 from a negative 13 by using the trick, keep, change, change. This trick applies to subtract a positive from a negative. In the equation 15-(-13), you keep the positive 15, you change the subtraction sign to addition, and you change the negative 13 to positive. The equation then reads 15+13, which equals 28. In application to the example above, 28=21x+-23y is what you get after subtracting 15 from negative 13. You then find the value of x and y by dividing each by 28. X is 4/3, while y is 1.22. Also, in math, a negative times a negative is a positive, and a positive times a negative is a negative, the same vice versa.

Distributive property(219)

When you have an equation like 3+4x(2-7)-9x=32, it differs from an original equation. It has parenthesis next a number with a variable. Those parentheses indicate multiplying what’s inside of them by the number next to it. This is the distributive property. In that equation, you distribute the 4x to the 2 and the 7, with the variable. Since the 2 and 7 are in parenthesis, they can have a distributed variable. The simplified equation would be 3+8x-28x-9x=32. The combined equation would be 3+11x=32, then 11x=29. X will be about 2.7.

Geometry to algebra(220)

We can apply algebra to geometry. Geometry has a lot of formulas to calculate shapes and angles. X is usually the unknown value in a geometry or measurement problem. Graphing linear equations has some geometry in it because me can measure angles with a few graphed functions.

the big 180(221)

The number 180 is important in angles. The degree measure 180 means a line is straight. Half of 180 equals 90, which is the angle measure of a right angle. The number 360 is twice the degree measure of 180, which is a circle degree measure. 180 is also used to find a degree measure of a line that intersects a straight line.

Interpreting angles(222)

This angle above has a straight line with a line intersecting it. One of the degree measures of that line is 37 degrees. The other side of that line is unknown. We get the measure for the other side by subtracting 37 from 180 because all lines have a total measure of 180. 180-37=143, which is the unknown value?

Different types of angles(223)

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