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Equations with Fractions
Equations with Decimals
Story Problems
Equations and the Distributive Property
No Solution/Many Solutions
100
Solve for x x + 1/3 = 2/3
x = 1/3
100
Solve for x 3.5x + 12 = 1.5x + 22
x = 5
100
Seven plus a number is 11
The number is 4
100
Solve for x 2(x - 1) =6
x = 4
100
How many solutions does the equation have? 2x - 6 = 2(x + 10)
None
200
Solve for x x + 1/2 = 4x - 2 1/2
x=1
200
Mike weighs 200 lbs and plans to lose 1.5 lbs a week. Jeff weighs 180 lbs and plans to lose 0.5 lbs a week. When will Mike and Jeff weigh the same?
In 20 weeks
200
Four times a number plus two is the same as five plus the number.
The number is 1
200
Solve for x 2(x + 3) = x - 7
x = -13
200
How many solutions does the equation have? 2(x - 1) + 6x = 4(2x - 1) + 2
Infinitely many
300
Solve for x 5 - 1/2x = 5/8x + 2
x = 8/3 or 2 2/3
300
Carol earns a 15% bonus based on her annual salary plus the number of sales she makes. She made 200 sales and earned a $9,030 bonus last year. Write and solve an equation to find her salary last year.
x = 60,000
300
A chess club has 500 members but is losing 20 members each year. A computer club has 150 members and is gaining 30 members per year. Write and solve an equation to find the number of years it will take for the two clubs to have the same number of members.
The equation is 500 - 20x = 150 + 30x x=7
300
Solve for x 5x - (x - 2) = 2x - (x + 1)
x = -1
300
How many solutions does the equation have? -(x - 8) + 4x = 2(x + 4) + x
Infinitely Many
400
Solve the equation Four thirds of a number plus seven is the same as half of the quantity three less than a number
x = -12
400
At one store John can buy tiles for $0.79 per tile and rent a tile saw for $24. At a second store he can buy tiles for $1.19 per tile and rent a tile saw for free. How many tiles must he buy for the cost to be the same at both stores?
60 tiles
400
Trey and Parker paid 6 dollars in sales tax. The sales tax is 8% where they live. Trey's purchase was $38. How much was Parker's purchase?
Parker's purchase was $37.
400
Solve for x 1/3(x + 8) - 4 = -1/2(2x - 3)
x = 2 1/8
400
Which of the following has no solution? A 3(x - 4) + 6(x+1) = -(2x + 7) B 5(x + 1) - 2x = 4(x - 3) +1 C x - 3(2x - 1) = -2x - 4(x + 1) D 4 + 2x - 1 = 2(x +6) - 3x
C