Pre-Algebra

Help Questions

Pre-Algebra › Pre-Algebra

Questions 1 - 10

Evaluate:

Explanation

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Solve by dividing on both sides of the equation. Move the decimal two places to the right.

$\frac{0.09x}{0.09} = \frac{27}{0.09} =\frac{2700}{9}$

Now factor the numerator to find values that can cancel out.

$\frac{2700}{9}=\frac{9\cdot 300}{9}$

The nine in the numerator and denominator reduce to one and we are left with our final answer,

Find the perimeter of the triangle above.

Note: Figure not drawn to scale.

None of these answers are correct.

Explanation

The perimeter of a shape is the length around the shape. In order to find the perimeter of a triangle, add the lengths of the sides: .

Because the lengths are in inches, the answer must be in inches as well.

Solve:

Explanation

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

Therefore, divide both sides by to solve for the unknown variable.

$\frac{0.2x }{0.2}= \frac{10}{0.2}=50$

Explanation

Add both sides by . To determine the answer, let's compare values by ignoring signs. is greater than and that value is negative, so our answer is negative. We do subtraction to find the answer which is Since we want a negative answer, the final answer becomes

Which of the following statements demonstrates the associative property of addition?

None of the examples in the other responses demonstrates the associative property of addition.

Explanation

The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only

demonstrates this property, so it is the correct choice.

Explanation

Since is greater than and is positive, our answer is positive. We treat as a normal subtraction.

is the answer.

Solve:

Explanation

Divide by on both sides of the equation.

$\frac{2.02x}{2.02}=\frac{ -0.202}{2.02}$

Decimals may be written as fractions.

$-0.202=-\frac{202}{1000}; 2.02=\frac{202}{100}$

Dividing by a fraction is the same as multiplying by its reciprocal:

Substitute and solve.

$x=-\frac{202}{1000}\times\frac{100}{202}$

Which of the following is an irrational number?

$\sqrt2$

$1.\bar{9}$

$\frac{7}{4}$

Explanation

An irrational number is any number that can not be expressed as a ratio of integers, i.e. a fraction. Therefore, the only irrational number listed is $\sqrt2$ .

Write the ordered pair of points a, b, and c.

Coordinate plane

$a =(1, 4),\ b= ( -5, 2),\ c =(0, -5)$

$a =(4, 1),\ b =(2, -5),\ c= (-5, 0)$

$a =(1, 4),\ b =(5, 2),\ c =(5, 0)$

$a= (0, 4),\ b =(0, -5),\ c =(0, -5)$

$a= ( 1, 5),\ b= ( 1, 7),\ c =( 1, 5)$

Explanation

An ordered is always written in the following format:

where x is the position on the x-axis, and y is the position on the y-axis.

Coordinate plane

If we look at point a, we find where it falls on the x-axis. We can see that it's position on the x-axis is 1. Then, we see where it falls on the y-axis. It's position on the y-axis is 4. So, we can write the ordered pair for point a as

We will do the same for b. The position of point b on the x-axis is -5. The position of point b on the y-axis is 2. So, we can write the ordered pair for point b as

And finally for c. The position of point c on the x-axis is zero. The position of point c on the y-axis is -5. So, we can write the ordered pair of point c as