1
True or False
-2c/3 = 4, if c = -6
True
7a + 4 + 5a = 47, if a = 3
False
3a - 11a =
-8a
-m + 13n + 18m =
17m + 13n
2(x-3) - 5x + 7 =
-3x + 1
1.5z + 8.25y - 2.5z + 3.25y =
-z + 11.5y
State the opposite of the expression 2a + 3b - 6
-2a - 3b + 6 or -2a + (-3b) + 6
Simplify the expression:
(3x + 2y) + (5x - 7y)
8x - 5y
Simplify the expression.
(7c - 4) - (2c - 9)
5c + 5
Simplify the expression.
(-4.3v + 3.4t) - (2.8v - 4.1t)
-7.1v + 7.5t
m^7 x m^6 x m^5
m^18
y^18/y^9
y^9
(z^3)^5 ÷ z^4
z^11
(7/a^3)^3
7^3/a^9
Determine whether the following expression is positive, negative, or zero:
-3(-2)^2(-2)(-5)^4 ÷ 3^2(-6)^2(-6)^2
positive
Divide mentally:
2.71 ÷ 100,000
0.0000271
Write in scientific notation:
40,056,000
4.0056 x 10^7
(4.1 x 10^4)(1.4 x 10^8)
5.74 x 10^12
(8 x 10^11)(5 x 10^13)
4 x 10^25
True or False: 30 - 7x = -2, if x = 4
False
Write an expression that represents the length of the third side of a triangle with perimeter 23x - 11y and other sides of length 6x - 20y and 17x + 8.
9y - 8
Looking through a microscope, a scientist observed that 35 bacteria were present on a petri dish in his lab. If the number of bacteria doubles every 10 minutes, how many bacteria will there be in 1 hour? (Leave your answer in exponential form.)
35 x 2^6
A rectangle storage space has length 20 - x and width 2x + 3. Find the simplified expression for the perimeter of the space.
2x + 46
According to research conducted at Stanford University, the average American walks approximately 4800 steps per day. If the American population is 3.3 x 10^8, how many steps are taken by all Americans in one day? Express your answer in scientific notation.
(4.8 x 10^3)(3.3 x 10^8)
= 15.84 x 10^11
= 1.584 x 10^12 in scientific notation
The Ericksons want to extend their 360 sq. ft. pigpen. The width will remain 18ft, and the total area will increase to 360 + 18x sq. ft. Factor 360 + 18x to find an expression for the new length.
L = 20 + x