Objectives for Numbers and Algebra
Total scored items on ATI TEAS: 18 questions out of 34
Table of Contents
Converting among non-negative fractions, decimals, and percentages
Relationship between the numerator and denominator in a fraction
How to Calculate a Percentage
Identifying Place Values within Decimals
Converting Fractions to Decimals and Percentages
Converting Decimals to Fractions
Converting Percentages to Decimals and Fractions
Performing arithmetic operations with rational numbers (both positive and negative numbers)
Order of Operations
Compare and order rational numbers (both positive and negative)
Defining Rational Numbers and Irrational Numbers
- – ½ (this can be written as -25/50)
- ¾ (this can be written as 75/100)
- 0.125 (this can be written as 125/1000)
- − 0.75 (this can be written as -75/100)
- − 15 (this can be written as -15/100
Ordering Rational Numbers
Comparing Rational Numbers
- > (greater than)
- ≥ (greater than or equal to)
- = (equal to)
- ≤ (less than or equal to)
- ≤ (less than)
Solving Equations with One Variable
Identify the Terms of an Algebraic Equation
- Constant is defined as the number itself not attached to a variable
- A Variable is a letter that represents an unknown quantity
- A Coefficient is a number being multiplied by the variable
- The constants are – 18 and 30
- The variable is -15x
- The coefficient in this equation is -15
Inverse Arithmetic Operations
Implement A Sequence of Steps to Solve Equations
Solve Proportional Relationships (Equations and Inequalities) with One Variable
Solve Real-World Problems using One or Multiple Step Operations with Real Numbers
Problem Solving Plan Word Problems
- The first step is to read the problem and identify the given information and the needed information.
- The given information is that a plumber charges $25 for a service call plus $50 per hour of service. The needed information is the cost of the plumber’s service if he works for h hours.
- The next step is to identify the problem type and the equation that needs to be solved.
- The last step is to check your work by substituting the answer back into the original problem.
Solve Word Problems Using Percentages
- The original amount
- The percentage increase or decrease
- The new amount
Apply Estimation Strategies and Rounding Rules to Word Problems
Estimation and Rounding of Numbers
Solving Word Problems involving Proportions
Introduction to Proportions
A proportion is a ratio in fraction form equal to another ratio in fraction form.
Writing and Solving a Proportion
- Read the word problem carefully and identify all of the information that is given.
- Draw a picture or diagram to help you visualize the problem.
- Determine what quantity you are looking for in the problem (this is the unknown quantity).
- Identify two equivalent ratios in the problem.
- Write a proportion using the equivalent ratios.
- Cross multiply to solve the proportion.
- Check your answer to make sure it makes sense in the context of the problem.
Direct Proportions and Constant of Proportionality
Solving Word Problems using Ratios and Rates of Change
What is a ratio?
A ratio is a comparison of two numbers by division. For example, 4:5 or 4/5.