Solving Equations
Equations with Variables on Both Sides
Equations with Distributive Property
Word Problems
Potpourri
100
Solve for y: 5(2y + 3) = 6y - (7 - 2y)
y= -11
100
Solve for x: 7x - 1 = 4x + 5
x = 2
100
-g + 2(3 + g) = -4(g + 1)
g= -2
100
Jaime and Tessa recently started playing an online role-playing game. Jaime has 415 experience points and gains an average of 25 points per game. Tessa currently has 375 experience points and gains an average of 33 points per game. If this trend continues, how many more games will it take for both players to have the same number of experience points? Solve the equation 415 +25𝑔 =375 +33𝑔 for the number of games, 𝑔
5 games
100
What is Mr. Hughes's favorite soda?
Cheerwine
200
Solve for x: 2.3x +2.8 = -1.2x + 9.8
x= 2
200
Solve for w: 2w + 3 = 4w - 5
w = 4
200
12 - (4y + 8) = 0.5(8y -16)
y= 1.5
200
Deanna and Lulu are playing games at the arcade. Deanna starts with $15, and the machine she is playing costs $0.75 per game. Lulu starts with $13, and her machine costs $0.50 per game. After how many games will the two friends have the same amount of money remaining? Write and solve an equation. Let x represent the number of games. Show your work.
8 games
200
What is the acceleration of gravity?
9.8 m/s2
300
solve for v: 20(v +2.50) = 15(2.5v +1)
v= 2
300
Solve for y: 15y + 14 = 2(5y + 6)
y = -.4
300
0.6(4 - 2x) = 20.5 - (3x + 10)
x=4.5
300
At a health club, 96 members participate in the morning workout, and this number has been increasing by 2 people per week. In the afternoon workout, there are 80 members, and this number has been decreasing by 3 people per week. Solve the equation 96 +2𝑤 =2(80 −3𝑤) to find in how many weeks 𝑤 the number of people working out in the morning will be double the number of people working out in the afternoon
8
300
What's the primary difference between a graphing calculator and a scientific calculator?
A graphing calculator can graph
400
Solve for x: 1/2(6x - 4) + 6x = -12(1/6x + 2)
x= -2
400
Solve for d: 4(3d - 2) = 8d - 5
d = .75
400
1/2(-4 + 6n) = 1/3n + 2/3(n +9)
n= 4
400
3
400
What is Mr. Hughes's least favorite vegetable?
Cauliflower
500
Solve for x: 0.3(10 - 5x) = 31.5 - (8x + 9)
x= 3
500
Solve for a: 5(5a + 3) = 14a - 29
a = -4
500
1/5(5x - 5) + 3x = -9(1/3x + 4)
x= -5
500
780
500
What is Mr. Hughes's Favorite Movie of All time?
Field of Dreams