Equations
If x=8, what is 3x2?
192
The combined mass of a dog and cat is 24 kg. The dog is three times as heavy as the cat. Find the mass of the dog.
18 kg
5(x-3)
5x-15
5x+10x
6
0
-x+42-4+10
x?
x=11
Three numbers have a sum of 207. The second number is 9 more than the first, and the third is 3 less than the second. What is the largest number?
73
-7(7x+3)
-49x-21
8x⁵+3x⁴
8x⁵+3x4
7yz⁷
8
2x+(23)2=2(7)+2
x=-24
The perimeter of a triangle is 60 inches. If the second side is twice as long as the first side and the third side is 6 less than three times as long as the first side, how big is the third side?
27 inches
-4(-10x+9)+9x
49x - 36
7y³+2y³
9y3
(x³y²)³•(x⁴y⁵)
24
3(2x - 1) + 4 = 5x - 2(x - 5)
x=3
A 555-mile, 5-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the tailwind picked up, and the remainder of the trip was flown at an average speed of 115 mph. For how long did the plane fly at each speed?
115 mph for 3 hours
(-x3y)(2x2y4 – 3x4 + y – 5)
3x7 - 2x5y5 - x3y2 + 5x3y
(8x-5+3x-9)
11x-14
(x¹²y²⁰z³) ÷ (x⁷y⁴)
24
(x + 2)^3 - x(x^2 + 6x) = 32
x=2
Kloe is a business woman at some boring company who wants to become rich by investing. She invested $5090, part at 5% per annum and the rest at 9% per annum. In one year, the two equal parts earned equal amounts of interest. How much did she invest at each rate? Round to the nearest hundreth.
$3,272.14 at 5% & $1,817.86 at 9%
-3x2[2x(x-4)-(x+3)(x-3)]-4x(x3-5x2+12)
-4x4+54x3-104x2
3(2a²b+5ab²)-(4a²b-2ab²)
2a²b+17ab²
(a¹²b⁶c¹⁶) / (a⁴b⁷c²)
21