Equations that Describe Patterns

Key Questions

• What is an algebraic equation?

  Answer:

  An equation is a statement that two expressions are equal, so we have:

  `"expression = expression"`

  Explanation:

  An expression is a maths sentence made up of terms which can have numbers and or variables as factors.

  `3x," "3x+5," "2x^2-5x+3` are all examples of expressions.

  An equation is a statement that two expressions are equal, so we have:

  `"expression = expression"`

  An equation is solved, which means to find the value(s) of the variable(s) which makes the equation true,

  `3x-5 = 22" "rarr x = 9`

  `x^2 +4x -45 =0" "x = -9 or x=5`

  An equation which contains two or more variables does not have a unique solution, but rather many, many solutions,

  `x+y=10` has infinitely many solutions.

  EZ as pi · 1 · Jul 18 2018
• What are the words that are used to symbolize the equal sign?

  Answer:

  is, equals, is equal to

  Explanation:

  The product of `4` and `3` is `12`.

  The product of `4` and `3` equals `12`.

  The product of `4` and `3` is equal to `12`.

  `4*3=12`

  Serena D. · 1 · Apr 17 2018

• What are the words that are used to symbolize the equal sign?
• What is an algebraic equation?
• What are the variables and equation if Peter’s Lawn Mowing Service charges $10 per job and $0.20 per square yard and he earns $25 for a job?
• How do you check that the solution to `2(5 - 2z) = 20 - 2(z - 1)` is -5?
• How do you write an equation that represents the cost of Lexus GS 450h if the Ford Focus is 27% of the price of a Lexus GS 450h and the price of the Ford is $15,000?
• What is the algebraic equation for renting a car costs $55 per day plus $0.45 per mile if the cost of the rental is $100?
• How do you check a linear equation and find if 7 is a solution to `5x-5=30`?
• Question #83d7a
• Question #4a4b6
• A |arge cheese pizza costs $18. Each topping you add on costs $1.50. How much would it cost to get a large cheese pizza with `c` toppings added?
• The product of 4 and a number is 18 more than twice the number. What is the number?
• A koala weighs 20 pounds. In her pouch, she carries her joey that weighs 20 ounces. What is the combined weight of the adult koala and her joey in ounces?
• Question #de185
• Question #82e26
• A water park charges $5 for entry into the park and an additional $2 for each of the big waterslides, Steven spent $17 on his visit to the water park. What equation would one use to find the number of big waterslides, x, that Steven went on?
• Is this formula for a arithmetic sequence? `sum_(k=0)^(k=n-1)ar^k=a((1-r^n)/(1-r))`
• What is the square root of `100000`? I got as far as `100sqrt(10)`, but what is the final answer?
• Find the 7th term in the following sequence: `1, 4, 7, 10, cdots`?
• Question #b7a30
• What is `lim_(x->2) (x^5-32)/(x-2)` ?
• Can someone check this proof for me, as I have looked over it, and I am not sure if it correct?
• Question #ac581
• Question #9fd29
• Write a multiplication problem using decimals whose product will be between 0.1 and 0.2?
• The sum of 2 nos is 4000 . If 15 % of one is equal to 25% of the other no. Find the nos ?
• How do you solve this?
• How can you tell if an equation has infinitely many solutions?
• Question #a5c03
• Question #080e7
• Question #49a45
• How do you use this symbol in an equation? `in`
• `x+y=5` and `x^y+y^x=17` Find the value of `x and y`?
• Two more than 4 times a number is -18. What is the number?
• Question #01b2c
• Question #a3e2c
• Question #331d6
• This spring it rained a total of 11.5 inches. This was 3 inches less than last spring. How do you write and solve an equation to find the amount of rain last season?
• Question #7e49c
• How would you write an equation to describe: the difference between five times a number and 8 is 27?
• Question #892c8
• Jose decides to charge his patrons $10 for the first 5 kilometers he walks and $1 per kilometer after 5 kilometers.?
• Three apples and twice as many oranges add up to one half the number of cherries in a fruit basket. how many cherries are there?