Literal Equations
4abc = d Solve for b
d / (4ac)
Find the sum
(a + 5) + (a + 6)
2a + 11
7x + 12 = -4x + 78
x = 6
-1/2x > 5
x < -10
On Monday, a restaurant made $545 from selling 110 hamburgers. If they sold 53 on Tuesday, how much did they make?
They made $262.59
5a - b = c, solve for a
(c + b) / 5
Simplify
(5a2 + 4a - 3)+(3a2 - 2a + 6)
8a2 + 2a + 3
3(3m - 2) = 2(3m + 3)
m = 4
3x - 5 > 40
x > 15
The Toyota Prius drove 208 miles on 5 gallons of gas. How far should it be able to go on a full, 11 gallon tank?
457.6 miles
12a + 3b = 5a + 2, solve for a
(2 - 3b) / 7
Find the difference of 2(3x3 + 4x) and 5x2 - x
6x3 - 5x2 + 9x
6(3a + 1) - 30 = 3(2a - 4)
a = 1
-3/5x + 7 < 22
x > -25
Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.
The number is - 45
a/b = c/d, solve for b
ad / c
Find the difference
(9v2 - 4v) - (2v2 + 5v)
7v2 - 9v
3.2k - 4.3 = 12.6k + 14.5
k = -2
5𝑥 + 2(𝑥 + 1) ≥ 23
x ≥ 3
Ben has $56 saved and works for $14 per hour at Culvers. If he wants to make more than $300 to buy a gaming system, how many hour (h) would he need to work? Write an inequality to represent this situation.
14h + 56 > 300
h = (g-24)/6 or g/6 - 4
Simplify
3(4m2 + 7) - 2(5m2 - 8)
2m2 + 37
1/3(5x + 3) = 1/2x + 4
x = 2 4/7
4(3 − 𝑥) − 3(4 − 𝑥) > −15
x<15
Write an equation where the Coefficients are the same and the constants are different. What does this mean for the equation?
This means that there is no solution that will make the equation true.