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How do you solve a solution to an equation?

To solve for , you must first combine the ‘s on the right side of the equation. This will give you . Then, subtract and from both sides of the equation to get . Finally, divide both sides by to get the solution .

Does more than mean multiply?

Addition-sum, altogether, all, in all, together, total, total number, add, increase, increased by, more than. Subtraction-minus, greater than, take away, fewer than, less than, subtract, decreased by. Multiplication-product, multiply, multiplied by, times.

Does how many mean multiply?

The Basic Operations

Symbol Words Used
+ Addition, Add, Sum, Plus, Increase, Total
Subtraction, Subtract, Minus, Less, Difference, Decrease, Take Away, Deduct
× Multiplication, Multiply, Product, By, Times, Lots Of
÷ Division, Divide, Quotient, Goes Into, How Many Times

What is a more than in math?

more Bigger. The symbol > means greater than (the symbol < means less than). Example: 5 > 3 shows that 5 is greater than 3.

What does decrease mean in math?

Make something smaller (in size or quantity). As the parrot drinks, the amount left in the can will decrease.

What does less mean in math?

more Smaller. The symbol < means less than (and the symbol > means greater than). Example: 4 < 9 shows that 4 is less than 9.

What is the symbol of smaller than?

The less than symbol is <. Two other comparison symbols are ≥ (greater than or equal to) and ≤ (less than or equal to).

What do the dots mean in inequalities?

First, put a dot on the number line at the point of the number on the right of the inequality. means greater than the number (but not equal to, which is why the dot is empty, because the number itself is not part of the answer). means less than the number (but not equal to, which is why the dot is empty).

What do the dots mean on a number line?

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7 because it’s not a valid answer (7 is not greater than itself).

How do you know if the circle is open or closed?

When graphing a linear inequality on a number line, use an open circle for “less than” or “greater than”, and a closed circle for “less than or equal to” or “greater than or equal to”. To CHECK an inequaltiy, it is not possible to test every value.

Is the line dotted for inequalities?

If the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line. This line divides the xy- plane into two regions: a region that satisfies the inequality, and a region that does not. Next, pick a point not on the line.

Can a solution be on a dotted line?

If the inequality symbol is greater than or less than, then you will use a dotted boundary line. If the inequality symbol is greater than or equal to or less than or equal to, then you will use a solid line to indicate that the solutions are included on the boundary line.

Is it a solution if it’s on the dotted line?

The dashed line is . Every ordered pair in the colored area below the line is a solution to , as all of the points below the line will make the inequality true. If you doubt that, try substituting the and coordinates of points A and B into the inequality—you’ll see that they work.

When can a point be a solution of the system?

If the point lies on both lines, then it is a solution. If the point is on one line and not the other (like in the video) then it is not a solution.

How did you determine if the given ordered pair is a solution of the system?

To figure out if an ordered pair is a solution to an equation, you could perform a test. Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.

Which ordered pair is a solution to the system?

Ordered pairs (x,y) that work in both equations are called solutions to the system of equations. They represent the intersection points of the two lines. Thus a system has one solution, no solutions, or infinitely many solutions. If an ordered pair is a solution, it must work in both equations.

Which ordered pair is a solution to the inequality?

To see if an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution.