When we round a number to the nearest ten we look to the ones place to tell us if we round up or down.

If the number in our ones place is or greater, we round up. If the number in the ones place is or less, we round down. When we round up, the number in the tens place increases by and all the other numbers to the right become . When we round down, the number in the tens place stays the same and all the other numbers to the right become .

In this case, is greater than so our rounded number is

In number form, eight hundred sixty-two and four tenths is . The "and" signifies the decimal, and " tenths" signifies the place value of the last decimal number.

The distributive property is needed to solve this problem. The distributive property is . In this particular, case the FOIL technique should be used to expand this expression. FOIL is an acronym that helps students remember to multiply the first terms in each parentheses, then the outside terms in each parentheses, followed by multiplying the inside terms and then finally multiplying the last terms in each parentheses.

The final step to expand this expression is to combine like terms. Thus, the correct answer is

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value .

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

The formula for perimeter of a rectangle is

To solve for the perimeter we can plug our known values into the equation.

Sometimes we use letters instead of numbers if we don't know what number ought to go in a certain place. Saying "" means that something plus eight equals fifteen, but we aren't yet certain what that "something" is. When we can, we solve the puzzle of what number that letter could be replaced with.

. , so must be replaced by .

. , so must be replaced by also.

We're looking for . To find this, we replace the letters with the numbers we found. and both equal , so .

, so . The correct answer is .

of can be rewritten as

The formula to find area is . We are given the length and the width from the problem, so we can plug those values into our equation and solve.

*Area is the number of square units inside a shape, which is why area is always written with square units.

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown.

Subtract from both sides

Divide by both sides

When multiplying two negative numbers, the product will be positive. The correct answer is 77.