ATI TEAS 7 MATHEMATICS 2025 EXAM FULL STUDYGUIDE.

ATI TEAS 7 MATHEMATICS 2025 EXAM FULL STUDYGUIDE. The top number of a fraction is the . - Correct Answer: numerator The bottom number of a fraction is the . - Correct Answer: denominator What is a proper fraction? - Correct Answer: A fraction where the numerator is smaller than the denominator. What is an improper fraction? - Correct Answer: A fraction where the numerator is larger than the denominator. What can an improper fraction be changed to? - Correct Answer: A mixed number. What is a mixed number? - Correct Answer: A mixed number is a whole number and a proper fraction. How do you change an improper fraction to a mixed number? - Correct Answer: Divide the denominator into the numerator. The result is the whole number. The remainder is the numerator of the proper fraction, and the value of the denominator does not change. Example: 5/2 is 2 1/2 because 2 goes into 5 twice with a remainder of 1. How do you change a mixed number to an improper fraction? - Correct Answer: Multiply the whole number by the denominator and add the result to the numerator. The results become the new numerator. Example: 2 1/2 is 5/2 because 2 times 2 plus 1 is 5 for the new numerator. What is the least common denominator? - Correct Answer: The smallest number that can be divided evenly into the denominators of all fractions being compared. How do you change a decimal to a fraction? - Correct Answer: 1. Write the decimal divided by 1 with the decimal as the numerator and 1 as the denominator. 2. Multiply the numerator and denominator by 10 for every number after the decimal point. Example: if there is 1 decimal place, multiply by 10. If there are 2 decimal places, multiply by 100. 3. Reduce the fraction completely. Example: 0.37 1. 0.37/1 2. 0.37 x 100/1 x 100 = 37/100 3. 37/100 (this fraction does not reduce) Steps to changing a fraction to a decimal. - Correct Answer: 1. divide the numerator by the denominator. Add zeros after the decimal point as needed. 2. complete the process when there is no remainder or the decimal is repeating. 2 ways to convert a decimal to a percent. - Correct Answer: 1. multiply the decimal by 100 and add a percent sign. 2. move the decimal point 2 places to the right. 2 ways to convert a percent to a decimal. - Correct Answer: 1. remove the percent sign and divide the decimal by 100. 2. move the decimal point 2 places to the left. Steps to change a fraction to a percent. - Correct Answer: 1. divide the numerator and denominator. 2. multiply by 100 and add a percent sign. Steps to change a percent to a fraction. - Correct Answer: 1. Remove the percent sign and write the value as the numerator with a denominator of 100. 2. Simplify the fraction. Term for fractions with the same denominator. - Correct Answer: Like fractions. How do you add like fractions? - Correct Answer: Add the numerators. Example: 2/5 + 1/5 = 3/5 How do you subtract like fractions? - Correct Answer: Subtract the numerators. Example: 8/9 - 2/9 = 6/9 = 2/3 Steps to adding or substracting fractions without like denominators. - Correct Answer: 1. find the lowest common denominator (the lowest common multiple). 2. convert the LCD by multiplying the fraction by the necessary numerical value written as a fraction equal to 1. 3. Add or subtract the numerators. How to multiply fractions. - Correct Answer: 1. multiply the numerators together. 2. multiply the denominators together. Steps to multiply a fraction by a whole number. - Correct Answer: 1. change the whole number to a fraction with a denominator of 1. multiply the numerators together. multiply the denominators together. rewrite the final answer as a mixed number. Steps to multiply a fraction by a mixed number or multiplying 2 mixed numbers. - Correct Answer: 1. change the mixed number to an improper fraction. multiply the numerators. multiply the denominators. write the improper fraction as a mixed number. reduce if necessary. Steps to divide a fraction by a fraction. - Correct Answer: 1. leave the first fraction alone. find the reciprocal of the second fraction. multiply the first fraction by the reciprocal of the second fraction. Rewrite the fraction as a mixed number and reduce the fraction completely. Steps to divide a fraction by a whole or mixed number. - Correct Answer: 1. write any whole number as a fraction with the denominator of 1. write any mixed numbers as improper fractions. leave the first fraction (improper fraction) alone. find the reciprocal of the second fraction. multiply the first fraction by the reciprocal of the second fraction. rewrite the fraction as a mixed number and reduce the fraction completely. What is a percent or percentage? - Correct Answer: A fraction of some quantity. "percent" means "per hundred." What is a ratio? - Correct Answer: A ratio expresses the relationship between two numbers and is expressed using a colon or fraction notation. Ratios should generally appear in lowest terms. Mathematically, ratios act just like fractions. Example: 8:13 is the same as 8/13. What is a proportion? - Correct Answer: A proportion is an equation of two ratios. What is the rate of change for some quantity? - Correct Answer: The rate of change for some quantity is the ratio of the quantity's difference over a specific time period to the length of that time period. Example: if an automobile increases its speed from 50 mph to 100 mph in 10 seconds, the rate of change of its speed is 100 mph - 50 mph / 10 s = 50 mph/10 s = 5 mph/s. Basic formula for the rate of change of some quantity. - Correct Answer: x(f) - x(i) / t(f) - t(i) where t(f) is the "final" (or ending) time and t(i) is the "initial" (or starting) time. x(f) is the (final) quantity at (final) time t(f). x(I) is the (initial) quantity at (initial) time t(i). The numerator is the difference between the 2 quantities. The denominator is the difference in time. What is the term "product." - Correct Answer: The result of the multiplication operation. T/F: When multiplying signed numbers, if the numbers have the same sign, their product is positive. - Correct Answer: True. What is a linear equation? - Correct Answer: An equation where 2 expressions are set equal to each other. ax+b=c a is a non-zero constant b and c are constants the exponent on a linear equation is always 1 there is no more than one solution to a linear equation The 4 properties to help solve a linear equation. - Correct Answer: 1. Addition property of equality Subtraction property of equality Multiplication property of equality Division property of equality What is the addition property of equality? - Correct Answer: Adding the same number to both sides of the equation. Example: