31 terms

# Accuplacer Study Guide - Arithmetic

Some of the questions are pretty simple, but hey, after all those Algebra, Geometry, etc., does anyone really remember how to add fractions that don't involve x?
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What is A in A/B
A = Numerator
What is B in A/B
B = Denominator
What is a prime number?
A prime number is a whole number that has two distinct factors, 1 and itself.
Is 1 a prime number?
No
How do you rewrite a number using prime factorization?
Write that number as a product of prime numbers.
When is a Fraction Simplified?
A fraction is simplified if the numerator and denominator do not have any common factors other than 1.
How do you multiply fractions?
When multiplying fractions, multiply the numerators together to get the product's numerator and multiply the denominators together to get the product's denominator. Reduce.
What is a reciprocal?
You flip the number upside down. The numerator becomes the denominator and vice versa.
How do you divide fractions?
Rewrite it as multiplication of the reciprocal and then proceed with the multiplication. Reduce.
How do you add or subtract fractions with common denominators?
Combine the numerators together. Put the sum or difference found in step 1 over the common denominator. Reduce to lowest terms
What is a Least Common Denominator (LCD)?
The LCD is the smallest number divisible by all the denominators.
What is an Equivalent Fractions?
Equivalent fractions are fractions that look different but have the same value.
How do you rewrite a mixed fraction?
Multiplying the denominator times the whole number and then add it to the numerator. Then, place this number over the existing denominator.
How do you add or subtract fractions without a common denominator?
Find the Least Common Denominator (LCD) for all denominators. Rewrite fractions into equivalent fractions with the common denominator. Add and subtract the fractions with common denominators
If both numbers that you are adding are positive, is the result positive or negative?
Positive
If both numbers that you are adding are negative, is the result positive or negative?
Negative
If the number with the larger absolute value is negative, is the sum positive or negative?
Negative
If the number with the larger absolute value was positive, is the sum positive or negative?
Positive
If the two numbers have the same sign, the product or quotient is...
Positive
If the two numbers have different signs, the product of quotient is...
Negative
When you are going from percent to decimal, drop the percent sign and then move your decimal ____ places to the ____.
two, left
When you are going from decimal to percent, move your decimal place ____ to the ____ and then put a __ sign at the end of the number
two, right, %
We are looking for a number that is 45% of 125. How do we find it?
Let X represent the number we want to find.
X=.45(125)
Solve
The number 5.25 is what percent of 35? How do we find the percent?
Let X represent the number we want to find.
5.25 = 35x
Solve
32 is 40% of what number? How do we find the number?
Let X represent the number we want to find.
32 = .40x
Solve
What is the mean of a list of values?
The mean of a list of values is the average of those values.
What is the mean of a list of values?
The median of a list of values is the middle value compared to the other values.
What is the mode of a list of values?
The mode of a list of values is the value that occurs the most often.
What is the range of a set of numerical data points?
The range of a set of numerical data points is the difference between the largest value and the smallest value.
What is the standard deviation?
The standard deviation is a relative measure of the dispersion of a set of data.
How do you find the standard deviation?
Step 1: Find the mean of the values of the data set.

Step 2: Find the difference between the mean and each separate value of the data set.

Step 3: Square each difference found in step 2.

Step 4: Add up all of the squared values found in step 3.

Step 5: Divide the sum found in step 4 by the number of data values in the set.

Step 6: Find the nonnegative square root of the quotient found in step 5.