Podcast
Questions and Answers
What formula do you use to solve 'At 50 mph how long will it take to go 325 miles'?
What formula do you use to solve 'At 50 mph how long will it take to go 325 miles'?
Rate/time=Distance or D=R*T
2124 is divisible by which of the following numbers? (Select all that apply)
2124 is divisible by which of the following numbers? (Select all that apply)
In a quadrant plane, Roman numerals go from?
In a quadrant plane, Roman numerals go from?
Right to left
What is the result when using the distributive property on -6(y - 3)?
What is the result when using the distributive property on -6(y - 3)?
Signup and view all the answers
What is the solution to the equation -7 = n - 6?
What is the solution to the equation -7 = n - 6?
Signup and view all the answers
What is the solution to the equation -54 = -9w?
What is the solution to the equation -54 = -9w?
Signup and view all the answers
What is the greatest common factor of 20c^3d and 12cd?
What is the greatest common factor of 20c^3d and 12cd?
Signup and view all the answers
Evaluate the expression 9x - (y + z) if x = 3, y = 8, and z = 5.
Evaluate the expression 9x - (y + z) if x = 3, y = 8, and z = 5.
Signup and view all the answers
What number is indicated if a number increased by 14 equals 52?
What number is indicated if a number increased by 14 equals 52?
Signup and view all the answers
What is the product of 7x * 2x^6?
What is the product of 7x * 2x^6?
Signup and view all the answers
What is the product of 15 * 4/5?
What is the product of 15 * 4/5?
Signup and view all the answers
What is the result of 2 1/4 * (-4/3)?
What is the result of 2 1/4 * (-4/3)?
Signup and view all the answers
What is 5 ÷ (-1 1/3)?
What is 5 ÷ (-1 1/3)?
Signup and view all the answers
What is the sum of 7/9 + (-2/9)?
What is the sum of 7/9 + (-2/9)?
Signup and view all the answers
What is the least common multiple of 7c^2 and 21c?
What is the least common multiple of 7c^2 and 21c?
Signup and view all the answers
If 20 CDs cost $18, what is the cost per CD?
If 20 CDs cost $18, what is the cost per CD?
Signup and view all the answers
Convert 4 ft/min to yards per hour.
Convert 4 ft/min to yards per hour.
Signup and view all the answers
Convert the percentage 45% to a fraction.
Convert the percentage 45% to a fraction.
Signup and view all the answers
Convert the percentage 120% to a fraction.
Convert the percentage 120% to a fraction.
Signup and view all the answers
Convert the percentage 0.5% to a fraction.
Convert the percentage 0.5% to a fraction.
Signup and view all the answers
What is approximately 40% of 45?
What is approximately 40% of 45?
Signup and view all the answers
If 15 is less than or equal to 5w, then w = 3.
If 15 is less than or equal to 5w, then w = 3.
Signup and view all the answers
What is the solution to the equation n^2 = 81?
What is the solution to the equation n^2 = 81?
Signup and view all the answers
Use the Pythagorean theorem to find a if b = 2 and c = 7.
Use the Pythagorean theorem to find a if b = 2 and c = 7.
Signup and view all the answers
Is the relation {(0,0), (-4,3), (10,3), (3,3), (5,8)} a function?
Is the relation {(0,0), (-4,3), (10,3), (3,3), (5,8)} a function?
Signup and view all the answers
What is the percent of change from $56 to $63?
What is the percent of change from $56 to $63?
Signup and view all the answers
What is the percent of change from 68 to 51?
What is the percent of change from 68 to 51?
Signup and view all the answers
Write a linear equation with a slope of -1 and a y-intercept of 3.
Write a linear equation with a slope of -1 and a y-intercept of 3.
Signup and view all the answers
What is the measure of one angle in a quadrilateral?
What is the measure of one angle in a quadrilateral?
Signup and view all the answers
What is the total degree measure of a hexagon?
What is the total degree measure of a hexagon?
Signup and view all the answers
What is the volume of a pyramid with a square base of 4 inches and a height of 12 inches?
What is the volume of a pyramid with a square base of 4 inches and a height of 12 inches?
Signup and view all the answers
What is the area of a rectangle that measures 4 in by 12 in?
What is the area of a rectangle that measures 4 in by 12 in?
Signup and view all the answers
What is the area of a triangle with a base of 10 ft and a height of 17 ft?
What is the area of a triangle with a base of 10 ft and a height of 17 ft?
Signup and view all the answers
What is the area of a circle with a radius of 3.5?
What is the area of a circle with a radius of 3.5?
Signup and view all the answers
How do you find the area of a circle?
How do you find the area of a circle?
Signup and view all the answers
How do you find the area of a rectangle?
How do you find the area of a rectangle?
Signup and view all the answers
How do you find the area of a cone?
How do you find the area of a cone?
Signup and view all the answers
Study Notes
Distance, Rate, and Time
- Use the formula D = R × T to calculate distance.
- Example: At 50 mph, traveling 325 miles takes 6.5 hours.
Divisibility
- 2124 is divisible by 2, 3, 4, 6, and 9.
Roman Numerals
- Roman numerals are arranged on a quadrant plane from right to left.
Distributive Property
- Apply the distributive property: -6(y - 3) equals -6y + 18.
Solving Equations
- For -7 = n - 6, solve to find n = -1.
- For -54 = -9w, rearrange to find w = 6.
Greatest Common Factor
- The greatest common factor of 20c³d and 12cd is 2d.
Evaluating Expressions
- Evaluate 9x - (y + z) using x = 3, y = 8, z = 5 to get 14.
Algebraic Expressions
- If a number increased by 14 equals 52, then x + 14 = 52, yielding x = 38.
- The product of 7x and 2x⁶ is 14x⁷.
Multiplication and Division
- 15 multiplied by 4/5 equals 12.
- 2 1/4 multiplied by -4/3 gives -3.
- 5 divided by -1 1/3 results in -3 3/4.
Fraction Addition
- Adding fractions: 7/9 + (-2/9) equals 5/9.
Least Common Multiple
- The least common multiple of 7c² and 21c is 21c².
Unit Cost
- To determine the cost per CD, divide $18 by 20 CDs to get $0.90.
Unit Conversion
- Convert 4 ft/min to yards per hour: 4 ft/min equals 80 yd/hr.
Percent Conversion
- Convert 45% to a fraction: 45% equals 9/20.
- Convert 120% to a mixed number: 120% equals 1 1/5.
- Convert 0.5% to a fraction: 0.5% equals 1/200.
Percent Calculation
- Approximately 40% of 45 is 18.
Functions
- If 15 is less than or equal to 5w, true implies w = 3.
Square Roots
- The solution for n² = 81 is n = 9.
Pythagorean Theorem
- Using the Pythagorean theorem with b = 2 and c = 7, a equals 6.
Function Relations
- The relation {(0,0), (-4,3), (10,3), (3,3), (5,8)} represents a function.
Percent of Change
- From $56 to $63, the percent of change is a 125% increase.
- From 68 to 51, the percent of change is a 25% decrease.
Linear Equations
- A linear equation with a slope of -1 and a y-intercept of 3 is expressed as y = -1/m + 3/b.
Angles in Shapes
- One angle in a quadrilateral measures 90 degrees.
- The total degree measure of a hexagon is 720 degrees.
Area and Volume Calculations
- Volume of a pyramid with a square base of 4 in and a height of 12 in is 64 cubic inches.
- Area of a rectangle measuring 4 in by 12 in is 48 in².
- Area of a triangle with a base of 10 ft and a height of 17 ft is 56 2/3 ft².
- Area of a circle with a radius of 3.5 is approximately 38.5 units².
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Prepare for your Pre-Algebra final exam with this study guide featuring essential flashcards. Each card focuses on key formulas, properties, and concepts you'll need to master. Improve your understanding of rates, divisibility, and the distributive property as you get ready for your exam.