Writing Equations
Six times x minus fifteen equals forty-five.
6x - 15 = 45
Fred bought a soft drink for 2 dollars and 4 candy bars. He spent a total of 14 dollars. How much did each candy bar cost?
$3
6x - 3 = 2x + 13
x = 4
x/6 = 7
x = 42
Solve ax + k = t for k
k = t - ax
1/2j - 5 = k + 13
Dan had 215 dollars to spend on 7 books. After buying them he had 12 dollars. How much did each book cost?
$29
x - 7 + 4x = 13
x = 4
x/2 = -15
x = -30
Solve 2x = z - xm for x
x = z/2 + m
The sum of x and 4 times t is equal to 29
x + 4t = 29
The sum of three consecutive numbers is 141. What is the smallest of the three numbers?
46
4x + 3 - 2x = - 17
x = - 10
3/4x = -9
x = -12
Solve x/7 + a = 2 + m for x
x = 14 + 7m -7a
27 times k is equal to h squared decreased by nine.
27k = h2 - 9
The sum of three consecutive even numbers is seventy-eight. What is the smallest of the three numbers?
24
-5(3x - 1) = -10(2x - 5)
x = 9
4/5x + 1 = 5
x = 5
Solve A =1/2bh for h
h = 2A/b
Seven times a number squared is five times the difference of k and m.
7x2 = 5(k-m)
Jason bought 7 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 33 cards left. How many cards did Jason start with?
59 cards
-3(x - 1) - 2(x + 3) = -13
x = 2
2/3x - 4 = 16
x = 30
8c - 2f = -9 + cg for c
c = -9 + 2f/8-g