Solving Equations
(3/7)w = 12
w = 28
Evaluate if a = 2, b = -3, and c = -4:
|a - 5| - 8
-5
Solve for y: y - 8x = 5
y = 5 + 8x
Mary reduced the size of a painting to a width of 3.3 in. What is the new height if it was originally 32.5 in tall and 42.9 in wide?
2.5 inches
9x - 7 = -34
x = -3
Evaluate if a = 2, b = -3, and c = -4:
3|2c + 5| + 5a
19
Solve for x: 5x - 2y = 20
x = (20 + 2y)/5
The sum of five consecutive integers is 200. Write an equation and find the five integers.
Equation: 5x + 10 = 200
Integers: 38, 39, 40, 41, 42
4(x-3) - 2 = 6
x = 5
Evaluate if a = 2, b = -3, and c = -4:
b|a - c| + 6c
-42
Solve for g: r = (g + h)/3
g = 3r - h
The sum of four consecutive odd integers is 296. Write and equation and find the integers.
Equation: 4x + 12 = 296
Solution: 71, 73, 75, 77
38 + 7k = 8(k - 4)
k = 70
Solve:
|8x - 1| = 7
x = 1, -0.75
(Must have both answers)
Solve for y: ax + by = c
y = (c - ax)/b
Write an equation and solve: Angela rented a car for $29.99 a day plus a one-time insurance cost of $5.00. Her bill was $124.96. For how many days did she rent the car?
Equation: 29.99d + 5 = 124.96
Solution: 4 days
8x + 4(4x + 3) = 4(6x + 4) - 4
all real numbers
Solve:
|x/4 - 3| = 5
x = 32, -8
Solve for m: 2m - 8 = 4m + 9n
m = (-8 - 9n)/2 OR m = (9n + 8)/-2
The Spanish club is selling calendars to raise funds for their annual trip. They plan to sell the calendars for $7.50 each, but the initial cost to print and produce the calendars was $450. If their goal is to raise $3500, how many calendars do they need to sell?
Equation: 7.50c - 450 = 3500
Solution: 527 calendars