Solve Equations
Story Problems
Write Equations from Word Problems
Random Math
2 Variable Equations
100
x - 3 = 19
x = 22
100
Write an equation with variable v, that has 8 as a solution.
Sample: x + 9 = 17
100
The difference of a number y and 17 is 42.
y - 17 = 42
100
Tell whether the ordered pair is a solution:
2y = 5x; (6, 14)
No
100
Tell whether the ordered pair is a solution to the equation.
y = 7x - 4
(4, 22)
No, 22 does not equal 24.
200
3 + x = 40
x = 37
200
There are 16 teams in a basketball tournament. After 2 rounds, 12 teams are eliminated. Write and solve an ADDITION EQUATION to find the number of teams remaining after two rounds.
t + 12 = 16
t = 4
4 teams remaining
200
Write then solve.
8 is the quotient of a number g and 3.
8 = g รท 3
g = 24
200
Fill in the blank:
14 + ___ = 9 + 8
3
200
In the equation, y = 1/4 x + 6, if y = 8, what does x equal?
x = 8
300
5y = 60
y = 12
300
A stuntman is running on the roof of a train. His combined speed is the sum of the speed of the train and his running speed. The combined speed is 73 miles per hour, and his running speed is 15 miles per hour. Find the speed of the train.
Train is traveling 58 mph.
300
9 is 3 less than a number y. Then Solve.
9 = y - 3
OR y - 3 = 9
y = 12
300
Which equations DO NOT have 6 as a solution?
a. x + 3 = 6
b. x + 5 = 11
c. 2x = 12
d. 10x - 10 = 40
e. 33 = 96x/18
a, d, and e
300
A car averages 50 miles per hour on a trip. Write an equation that represents the relationship between the time and the distance traveled. How long does it take the car to travel 525 miles?
50h = d
50h = 525
525/50 = 10.5 hours
400
49 = m/7
m = 343
400
The drawbridge shown consists of 2 identical sections that open to allow boats to pass. Write an equation you can use to find the length s (in feet) of each section of the drawbridge. Then solve.
2s = 366
or s + s = 366
or 366/2 = s
s = 183ft.
400
The product of 4 and the difference of x and 7 is 12. Then solve.
4(x-7) = 12
x = 10
400
1. Write an equation in two variables for a runner who moves 1 mile in 8 minutes.
2. Tell what each variable represents
8x = y
x = miles run
y= minutes ran
400
Identify the Dependent and Independent Variables in the following problem:
The equation h = 60 - 4m represents the height h of the water in a tank m minutes after it starts to drain.
h- dependent
m- independent
500
Tell whether the ordered pair is a solution of the equation and prove with math.
2y = x/11; (88, 4)
8 = 8, yes, it is a solution
500
At the Farmer's Market you buy 4 pounds of tomatoes and 2 pounds of sweet potatoes. Tomatoes are $3.00/pound, and sweet potatoes are $2.00/pound. You spend 80% of the money in your wallet. How much money is in your wallet before you pay?
(4 x 3) + (2 x 2) = $16 spent.
16 = .80 x m
m = $20
500
Write an equation and then solve.
28 is the same as 12 less than the product of x and 5.
28 = 5x - 12
x = 8
500
Write an equation, then solve.
One hundred ninety subtracted from the quotient of a number x and 50, is ten.
(x / 50) - (190) = 10
x = 10,000
500
A mobile plan has a base fee of $50 per month. The monthly cost increases by $10 for every gigabyte of data used. Write and graph an equation in two variables that represents the total monthly cost of the plan.
Then solve for the total cost if you use 7 gigabytes of data.
c = 50 + 10g
Total cost: $120