Expressions
4(n⁄2+7) when n=6
40
Solve 5x - 7y = 12 for y
y = (5x - 12)⁄7
Solve for x
2(x+3)=5x−4
x = 5
4 more than thrice a number is three less than twice the number. Find the number
x = -7
Simplify as completely as possible
-5(x - 3)+12 +7x-3
2x + 24
Solve for h:
A = 1⁄2 bh
h = 2A⁄b
Solve for y:
(5-y)-(5-y)= 3
No Solution
3 times the difference of a number m and 15 is equal to 30
m = 25
9-32÷4 + 5(3 - 7)
-19
In the equation E=mc2
solve for m. (Note: This is Einstein's famous equation relating energy to mass, where E is energy, m is mass, and c is the speed of light.)
m = E⁄c2
Solve for x
1⁄3(2x - 1⁄2) = -2(5x - 5⁄3) + 34
<sup>51</sup>⁄<sub>128</sub>
The sum of three consecutive integers is 51. Set up and solve an equation to find the smallest of these integers.
16
You buy apples at $2 per pound and oranges at $3.50 per pound. What is an expression for the total cost of fruit purchased? Also, what is the total cost of 7 apples and 4 oranges?
DEFINE YOUR VARIABLES
a = pound of apples
b = pound of oranges
2a + 3.50b
14 + 14 = $28
c = (x + y)⁄a
y = ca - x
3(2x + 5) = 6x + 15
All Real Numbers
A landscaper is designing a rectangular garden. The length of the garden is always planned to be 3 feet less than twice the width. The landscaper wants the perimeter of the garden to be exactly 50 feet.
Find the length
47⁄3 feet
3x+2-8(x+1) + 4(x+ y) - 3y
-x - 6 + y
qrst - t = 3 solve for r
(3 + t)⁄(qst)
2(x - 3)=5x−2(x+3) + 4
x = -4
6 is one half of twice a number plus 3, find the number
x = 9⁄2