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Writing Equations
Solving Equations
Solving Equations (Fractions)
Solving Equations (Distributive)
Different Solution Types
100
Write an equation for the following scenario. Bob and Jim paint houses. Bob charges $35 initially and then $50 per hour. Jim charges $75 initially and then $10 per hour.
What is 35 + 50x = 75 + 10x
100
-9 + s = 10s
What is s= -1
100
The first step to solving an equation with fraction is...
What is find the LCM?
100
The first step to solving and equation with the distributive property is __________.
What is distribute?
100
The following solution has how many solutions? 4x - 6 = 7x + 12
What is one solution? x= - 6
200
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.
What is 12.95 + 0.5x = 21.20
200
Solve. 9w + 10 = 8w
What is w = -10
200
Solve for y. 1/2y = 1
What is 2?
200
Solve. 3(x - 5) + 1 = 2 + x
What is x = 8
200
This problem has ________ solutions. 5x+ 3 = 5x + 3 A. infinite (always true) B. at least 1 (sometimes true) C. no solution (never true)
What is A. infinite (always true)
300
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
300
Solve. 7 - 7n = - 8n
What is n= -7
300
Solve. 8 + 3/4x = 1/8x + 20
What is x = 19.2 or 19 1/5
300
Solve. 5 - 7k = 4(k+1) - 3
What is k = 4/11
300
The equation below has ________ solution(s). 3 + 4x = 4x -3
What is no solutions?
400
Write an equation for the scenario. Sam opened his account with $710 and withdrew $35 per week. Maria opened her account with $570 and withdrew $25 each week. In how many week will their accounts be equal?
What is 710 - 35x = 570 - 25x
400
Solve. - 3j = 8 - 4j
What is j=8
400
Solve. 7/10n + 3/2 = 3/5n + 2
What is n = 5
400
Solve. 3/4(x-13) = -2(9+x)
What is x= -3
400
The equation below has a ____________ number of solutions. -(2x + 2) -1 = - x - (x + 3)
What is infinite (always true)?
500
Write an equation for the scenario. Prestige Car Rentals charges $44 per day plus $0.06 per mile to rent a mid-sized vehicle. Gateway Auto charges $35 per day plus $0.09 per mile for the same car. For what number of miles will both companies charge the same price?
What is 44 + 0.06x = 35 + 0.09x
500
- 4 - 7d = -6d + 4
What is d= -8
500
Solve. 6 + 4/5x = 9/10x
What is x= 60?
500
Solve. -8(8 - x) = 4/5(x + 10)
What is x= 10
500
Sam and Jody solved the equation below. Sam said got n=n. Jody got -6 = -6. Sam said that one of them must be wrong because you cannot get different solutions for the same equation. Is Sam right or is Jody? Is is possible for them to both be right? If so, explain how. 4n - 6 = 2(2n - 3)
What is they are both correct. This problem has infinitely many solutions. 4n - 6 = 2(2n - 3) is the same as 4n - 6 = 4n - 6 . Sam solved by getting the constant numbers on the same side and adding 6 to both sides. Then he divided by 4 to get n by itself. Jody began by moving the variables to one side and subtracting 4n from both sides. When you get a number or variable that equals itself, that means that the equation will be true no matter what value is substituted for the variable.