Solving Equations
Solve for x:
|x - 5| = 10
x = 15 and -5
Simplify 3(x + 4) + 2x
5x + 12
What is the value of i²?
-1
In the set of points {(1, 2), (3, 4), (5, 6)}, name the Domain.
{1, 3, 5}
Simplify: (x²)(x⁷)
x⁹
Solve for x:
√x = 9
x = 81
Simplify 5a - (2a - 8)
3a + 8
What is the simplified value of i⁴?
1
In the set of points {(1, 2), (3, 4), (5, 6)}, name the Range.
{2, 4, 6}
Simplify: 24a¹⁰/6a²
4a⁸
Solve for x:
2|x+1| = 12
x = 5 and -7
Simplify 2x(x - 3) + 4x²
6x² - 6x
Simplify: (6 + i) + (3 - 4i)
9 - 3i
True or false: An open circle on a graph means that the function does not include that point.
True
What is the value of (1,234,567)⁰?
1
Solve for x:
3(2x - 5) - 4(x + 2) = 11
x = 17
Simplify 4(2x - 5y) - 3(x + 2y)
5x - 26y
Simplify: (10 - 2i) - (4 + 5i)
6 - 7i
What is the only x-value not in the domain of the function f(x) = 5/(x+7)?
x = -7
Simplify: (3x⁴y²)³
27x¹²y⁶
Solve for x:
|x + 4| + 10 = 2
No solution - absolute value cannot be negative
Simplify 7x²y - 3xy² - (4xy² - 2x²y) + 5xy
9x²y - 7xy² + 5xy
Simplify: (3 + 2i)(4 - 5i)
22 - 7i
What is the Range of the absolute value function f(x) = |x| + 2?
y ≥ 2
Rewrite x³/² in radical form.
√ x³ (the square root of x cubed)