Equations
x/3 = 2
x = 6
The sum of two consecutive integers is 35. What is the greater integer?
18
Solve for a.
a + b = c
a = c - b
Mia is thinking of three consecutive integers. When she adds these three numbers together, the sum is 51. What are the three consecutive integers Mia is thinking of?
16, 17, 18
2x - 4 = 20
x = 12
The sum of 3 consecutive even integers is 252. What is the smallest integer?
82
Solve for x.
mx + b = y
(y-b)/m
A triangle has sides that are consecutive integers in length. The perimeter of the triangle is 45. What is the longest side of the triangle?
16
3(x+2) = 12
x = 2
The sum of four consecutive integers is 14 more than twice the smallest integer. Find these integers.
4, 5, 6, 7
Solve for z. x/3 + y = z
x = 3z - 3y
Jake saved some money last week. This week, he saved $2 more than last week. Next week, he plans to save $2 more than this week. If the total amount he will save over these three weeks is $93, how much did Jake save in the first week?
$29
4x - 4 = 8(x + 1)
x = -3
The sum of six consecutive integers is 3 less than 5 times the largest integer. Determine these integers.
7, 8, 9, 10, 11, 12
The distance (d) traveled by a car is given by the formula d = rt, where r is the rate of speed and t is the time. Rearrange this equation to solve for t.
d/r = t
The perimeter (P) of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. Rearrange this equation to solve for w.
(P - 2l)/2 = w
4(x + 2) -2x = 3(2x + 4)
x = -1
The sum of five consecutive integers is equal to twice the middle number. What are these five consecutive integers?
-2, -1, 0, 1, 2
The area (A) of a triangle is given by the formula A = ½bh, where b is the base and h is the height. Rearrange this equation to solve for b.
(2A)/h = b
In Mr. Johnson's class, the final grade (G) is calculated using test scores (T) and homework scores (H). The formula is: G = 0.7T + 0.3H. Rearrange this equation to solve for T.
(G - 0.3H)/0.7 = T