Factor −3x2 + 12x.
a) −3x(x + 4)
b) 3(−x2 + 12x)
c) 3x(−x + 4)
d) x(3x + 12)
The correct answer is c) 3x(−x + 4)
Simplify (c4d3)3.
a) cd36
b) c7d9
c) c7d6
d) c12d9
The correct answer is c) c7d6
Simplify (z6z−5)−2.
a) −z
b) −z2
c) 1 over z
d) 1 over z raised to the second power
The correct answer is d) 1 over z raised to the second power
Find the value of x in the following equation:
3.6(2x + 5) = 7.2x + 18
a) No solution
b) Infinite solutions
c) x = 0
d) x = 2.3
To solve the equation, we can start by distributing 3.6 to both terms inside the parentheses:
7.2x + 18 = 7.2x + 18
Next, we can simplify the equation by subtracting 7.2x from both sides:
18 = 18
This equation implies that 18 is equal to 18, which is true.
Therefore, the equation is an identity and has infinite solutions.
The correct answer is b) Infinite solutions.
Determine the value of b.
b3 = 125
a) b = 41.7
b) b = ±41.7
c) b = 5
d) b = ±5
The correct answer is c) b = 5
Determine all real values of a.
a2 = 81
a) a = 9
b) a = ±9
c) a = 40.5
d) a = ±40.5