Simplifying Equations
Simplify: 22p - 7p + 19 - 15 - 12
15p - 8
Solve: 3x + 3 - 2x = 21
x = 18
Therefore, the solution to the equation 3x + 3 - 2x = 21 is x = 18
What property is shown:
(a x b) x c= a x (b x c)
Associative Property of Multiplication
What is the official name of Greece?
The official name of Greece is the Hellenic Republic. "Hellas" is the historical name for Greece, and the republic refers to its form of government.
Simplify 3x + 5x - 2
8x - 2
Solve: 2,345 - x = 2,300
x = 45
Solve:
4,5602.13 - 12.6
45,589.53
Greece is known for its mythology. Which famous storyteller is credited with many of these myths?
Homer is credited with writing the two great epic poems of Greek mythology, the Iliad and the Odyssey.
Simplify: -4(3x - 2) -2(4 + 3x)
-18x
Step 1: Distribute the negative signs
Step 2: Combine like terms
Step 3: Write the simplified expression
The simplified expression is -18x + 0. Since 0 doesn't affect the expression, we can simply omit it.
Solve: 21 + x = 2(x - 6)
x = 33
Distribute the coefficient in the parenthesis: On the right side, we have 2 multiplied by the expression (x - 6). Distribute the 2: 2(x - 6) becomes 2x - 12.
Rewrite the equation to combine like terms: Now we have the equation: 21 + x = 2x - 12. To combine like terms easily, move the x term to the right side of the equation. Do this by subtracting x from both sides: 21 + x - x = 2x - 12 - x. This simplifies to 21 = x - 12.
Isolate x: We want to get x by itself. Add 12 to both sides: 21 + 12 = x - 12 + 12. This simplifies to 33 = x.
Evaluate:
(2x3)+(7x4)+2
36
Greece is a beautiful country with many islands. What is the name of the body of water located to the west of mainland Greece?
The Ionian Sea is located to the west of mainland Greece.
Simplify: -(x + 7) -2(4x + y)
-9x -7 -2y
1. Distribute the negative sign:
The minus sign in front of the parenthesis applies to each term within the parenthesis. Distribute the - into - (x + 7) :
2. Distribute the coefficient:
The expression -2(4x + y) has a coefficient -2 multiplied outside the parenthesis. Distribute this coefficient to each term inside:
-2(4x + y) becomes -8x - 2y
3. Combine like terms:
Now we have -x - 7 - 8x - 2y.
4. Write the simplified expression:
The simplified expression is -9x - 7 - 2y
Solve: 25/3
8 1/3
What is the 546 x 120?
65,520
The ancient Greeks are credited with the development of several architectural styles. Name one of the three most famous orders of Greek architecture.
There are three main orders of Greek architecture: Doric, Ionic, and Corinthian.
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Solve: (3 - 3x)/7 = 6
x = -13
This equation has the expression (3 - 3x) divided by 7. To get rid of the denominator, we can multiply both sides of the equation by 7. However, it's important to remember that multiplying by a number is the same as multiplying by that number divided by 1. So, we can multiply by 7/7:
(3 - 3x)/7 * (7/7) = 6 * (7/7)
This simplifies to: 3 - 3x = 42 (because 7/7 = 1)
Now we have the variable x along with a constant term. Our goal is to isolate x.
On the left side, all the terms are constants except -3x. Move the constant term (3) to the right side of the equation by subtracting it from both sides:
3 - 3x - 3 = 42 - 3
This simplifies to: -3x = 39
Finally, to get x by itself, divide both sides by the coefficient of x (-3). Remember, dividing by a negative number flips the direction of the inequality.
-3x / (-3) = 39 / (-3)
This simplifies to: x = -13
Therefore, the solution to the equation (3 - 3x)/7 = 6 is x = -13
What is the sale price of baseball gloves that originally cost $132, but Luke uses a 25% off coupon?
$99.00 is the sale price of the baseball gloves using the coupon
In the spirit of competition, Greece is one of a select few countries that has participated in every modern Olympic Games since their revival. Name two other countries that share this distinction.
Switzerland and Australia are two other countries that have participated in every modern Olympic Games.