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100
7a+10 = 2a
a = -2
100
11x = 24+8x
x = 8
100
5n+9 = 2n
n = -3
100
3k+14 = k
k = -7
100
m - 18 = 3m
m = -9
200
3 - 10b = 2b - 9
b = 1
200
2z - 31 = -9z + 24
z = 5
200
8y - 3 = 6y + 17
y = 10
200
-7x + 5 = x - 19
x = 3
200
11x = 20x + 18
x = -2
300
4n + 13 = n - 8
n = -7
300
9 - 2y = 8y - 6
y=1.5
300
x + 5 = 4x + 26
x = 7
300
3d = 18 - 3d
d = 3
300
-2g + 15 = 45 - 8g
g = 5
400
6x - 4(2x - 3) = 5x - 9
x = 3
400
2n +4(n - 3) = 6n + 12
No Solution
400
7x - 10x + 12 = 3(x - 2) - 6
x = 4
400
4(k + 8) - 5k = 9k - 8
k = 4
400
-7(2x-3) + 5x - 8 = 4(x-5) - 10x
x = 11
500
The perimeter of a rectangle is 120 feet. Find the dimensions if the width is 10 feet shorter than the length. Write and solve an algebraic equation.
Length = 35 feet; Width = 25 feet
500
Jenna bought a pair of pants for $32. She also bought 3 t-shirts. Michael bought a baseball hat for $12, and he bought 5 t-shirts. All of the t-shirts cost the same. Write an equation to determine the cost of each t-shirt if Jenna and Michael spent the same amount of money; then calculate the cost of each t-shirt.
32 + 3c = 12 + 5c ; c = $10
500
Abby has $55 and saves an additional $12 per week. Write and solve an equation to determine how many weeks it will take until she has $343.
55 + 12w = 343; w = 24 weeks
500
Twice a number is 60 more than five times the number. Write and solve an equation to determine the number.
2n = 5n + 60; n = -20
500
The length of a rectangle is given by the expression x + 5, and the width is given by the expression x - 2. The lengths of a triangle are given by the expressions x + 2, x + 3 and x + 4. Find the value of x so that the polygons have the same perimeter.
4x + 6 = 3x + 9; x = 3