Blueprint: Key Concepts & Practice Questions!!
If x=8, what's the value of y in the equation y=(x^^/4)-2? correct answers A)
Substitute 8 for x in the equation and then solve for y:
y=(x^^/4)-2
=(8^^/4)-2
=(64/4)-2
=16-2
=14
the cube of 5 is correct answers A)
The cube of 5 is 5^^^, which is 5x5x5=125.
2.5x3^^^= correct answers C)
Because of the order of operations, you need to find 3^^^ first and then multiply by 2.5:
2.5x3^^^
=2.5(3x3x3)
=2.5x27
=67.5
The fourth root of 16 is correct answers D)
Because 2^^^^=16, the fourth root of 16 is 2
What's the equations of a line that passes through points (0,-1) and (2,3)? correct answers A)
To get the equation of the line, you need to know the line's slop and y-intercept. The slope of
the line is equal to the change in y values divided by the change in x values. The chance in y
values is 3-(-1)=4. the change in x values is 2-0=2. thus, the slope of 4/2=2. The line passes
through the point (0,-1), so to find the intercept, substitute 0 for x and -1 for y in the equation
y=2x+b.
-1=2(0)+b
b=-1
Therefore, b=-1, so the full equation is y=2x-1
(12 yards+14 feet)/5= correct answers C)
Do what's in the parentheses first. You need consistent units of measurement, so convert 12
yards to feet; then add 14.
(12 yd.x3 ft./yd.) +14 ft.