Writing Equations
Write an equation for the following scenario. Twice a number minus three times the number is equal to the difference between the number and 5. What is the number?
What is 2x + 3x = x - 5.
-9 + s - 3s = 10 + (-4)
What is s= -15/2 or -7.5
The first step to solving an equation with fractions is...
What is find the common denominator
The first step to solving and equation with brackets is __________.
What is distribute (or use the distributive property or multiply to get rid of the brackets)
You are checking to see if x=2 is a solution for the following equation. -2.5x + 8 = 3. State the last line of your check and whether it is the solution or not.
What is 3 = 3 and yes, x=2 is the solution to the equation.
Write an equation for the scenario. A cell phone company charges a monthly rate of $12.95 and $0.5 per text message. The bill is $21.20 for the month. How many text messages were sent?
What is 12.95 + 0.5x = 21.20
Solve. -9w + 10 = 8
What is w = 2/9
Solve for y. 1/2y = 1/4
What is 0.5 or 1/2
You are checking to see if x=-0.5 is a solution to the equation 1/2x = 3/4x - 2/5. State the last line of the check and whether the solution is correct.
What is -0.25 = -0.775 (or -1/4 = -31/40) and no, x=-0.5 is not the correct solution.
Write an equation for the following scenario. You have $60 and your sibling has $120. You are saving $7 per week and your sibling is saving $5 per week. How long will it be before you and your sibling have the same amount of money?
What is 60 + 7x = 120 + 5x
Solve. 7 - 7n - 2n = - 8 + 4
What is n= 11/9
Solve. 8 + 3/4x = 1/8x + 20
What is x = 19.2 or 19 1/5 or 96/5
You are checking to see if x=1 is a solution to the following equation: 4(3 + x) - 18 = 5(x - 3) - 0.5(3x + 1) + 10. State the last line of the check and whether it is the solution or not.
What -2=-2 and yes, x=1 is the solution to the equation.
Write an equation for the following scenario. The base of the first triangle is x + 3 and the height is 5. The base of another triangle is 13 and the height is 2x - 3. What value of x makes the area of the two triangles equal? (Hint: area of a triangle = (base x height)/2)
What is [5(x+3)]/2 = [13(2x-3)]/2
You are checking to see if x=-2/3 is a solution to the following equation: -12x + 3/4x = -3(2x - 1) + 1/2. State the last line of your equation and whether the solution is correct or not.
What is 7.5 = 7.5 and yes, the solution is correct.
Write an equation for the following scenario. Find 3 consecutive integers so that the sum of three times the first number and twice the second number is equal to 20 less than the third number.
DAILY DOUBLE: Find the 3 integers to double your points.
What is 3x + 2(x+1) = (x+2) - 20 and -5, -4, -3
Solve. 6 + 4/5x = 9/10x
What is x= 60
Create an equation involving brackets (the distributive property) and variables on both sides where the solution must be x=0. Check the solution to show that it works.
What is (answers may vary - Example: 2(x+1)=x+2)