Linear Equations
Solve: 2x + 5 = 13
A: x = 4
Is y = 3x + 1 a function?
A: Yes
Simplify: 3²
A: 9
Solve: 3(x - 2) = 9
A: x = 5
Identify slope and y-intercept in y = -½x + 4
A: Slope = -½, y-intercept = 4
Square root of 144
A: 12
What is the slope of the line y = -2x + 7?
A: -2
Compare these relations:
A = {(1,2), (2,3), (3,4)}
B = {(2,5), (2,6)}
Which one is not a function and why?
A: B is not a function because input 2 has two outputs
Simplify: 2³ × 2²
A: 32
Write the equation of a line with slope 3 and y-intercept -2.
A: y = 3x - 2
The relation below represents a set of points:
{(–2, 4), (–1, 1), (0, 0), (1, 1), (2, 4)}
Is this a function? Is it linear or non-linear? Explain.
A: Yes, it is a function because each input has only one output. It is non-linear because the points do not form a straight line.
Simplify: (3x²)²
A: 9x⁴
Solve the system: y = 2x + 1 and y = -x + 7
A: (2, 5)
Write the equation of the line that passes through the points (2, 5) and (4, 9) in slope-intercept form.
A:
Slope m=2
B=1
y=2x+1
Is √50 rational or irrational?
A: Irrational, because √(50) cannot be expressed as a ratio of two integers; it is a non-terminating, non-repeating decimal.