Translate equations
The product of 6 and a number squared increased by 7 is 24.
6n2 + 7 = 24
15 - [10 + (3 - 2)2] + 6
10
6 = (1/5)x + 2
20
7(3x)
21x
Six less than two thirds of a number is 18. Find the number.
2/3 n -6 = 18
n = 36
There are 22 students in a classroom. There are 12 more girls than boys. Find the number of boys in the classroom.
Let b = boys
b+12 = girls
b + b + 12 = 22
Evaluate when x = 4, y = 5, and z = 3.
3x2 + (2y + z3)
85
7(h-2) + 11 = -3
0
8 + x - (8 - x) - x
x
Find three consecutive odd integers whose sum is 87.
27, 29, 31
Claire sold 25 more cards than Alice. Claire and Alice sold a total of 211 cards. Find the number of cards Alice sold.
Let A = Alice's cards
a + 25 = Claire's cards
a + a + 25 = 211
Evaluate when a = 8, b = 4, and c = 16.
(a/b)2 - c/(a-b)
0
(x-2)/3 = x
-1
-4(-m + 3n) - 3[m + (-5n)]
m + 3n
Otto has $140. If he saves $2.50 per week, how long will it take him to have $200?
24
The perimeter of a rectangle is 36 cm. The length is twice as long as the width. Find the width of the rectangle.
Let w = width
2w = length
w + w + 2w + 2w = 36
Evaluate is a = 3, b = -2, and c = -1.5
3abs val (b) - 4a
-6
1/3(3x - 3) + 2 = 2x
1
1/-3 (3ab)
-ab
The lengths of the sides of a triangle are consecutive even integers. Find the length of the longest side if it is 22 units shorter than the perimeter.
n + 4 = 3n + 6 - 22
n = 10
THe longest side is 14
Allan has $6.00 more than Bill. Together they have $30. Find how mch money Bill has.
Let b = Bill's amount
b + 6 = Allan's amount
b + b + 6 = 30
Evaluate when a = 3, b = -2, c = -1.5
2c - abs val a - abs val b
-8
3(5 + y) - y = 2y + 15
Identity
All real numbers
-1/4 (16m + 32)
-4m - 8
The Audio Outlet purchased 60 cassette recorders, gave away three in a contest, and sold the rest at twice their purchase price. If the store's total profit was $1188, how much did the store sell each recorder for?
$44