Exponent Rules (STAAR Chart)
Identify the rule and simplify the expression. x^3/x^2
x
What form is this linear equation written in? 3x+4y=12
standard form
What form is this quadratic function? y=2x^2-3x+11
standard
Convert this fraction to a decimal: 5/8
0.625
What is the slope of a line that contains the points (6, 8) and (-1, -6)?
2
Identify the rule and simplify. (2x^3)^2
4x^6
Solve this linear equation for slope-intercept form. 2x-5y = 10
y=2/5x+2
What form is this quadratic in? y=5(x-2)^2+9
vertex
What is the simplified form of this radical? √80
a) 4√3
b) 16√5
c) 4√5
C 4√5
What value of x makes the equation -3x-4(4x-8)=3(-8x-1) true?
x= -7
Identify the rule and simplify the expression. n^5·n^4
n^9
Find the slope using the formula for the function that crosses through (0, 4) and (-2, -2).
3
Find the axis of symmetry using the formula for the function y=3x^2+6x+1.
x=-1
What is the fraction that is equivalent to this number? .5833333
a) 9/15
b) 7/12
c) 2/9
b) 7/12
What is the equation of the linear function that passes through (0,7) and (4,4)?
y= -3/4x+7
Identify the rule and simplify. p^-9
1/p^9
Write the equation for a linear function that passes through the point (2, -1) and has a slope of 3 in point slope form.
y+1=3(x-2)
Convert this quadratic function from vertex form to standard form. f(x)=2(x-1)^2+3
2x^2-4x+5
Given f(x)= -6x-12, find f(-7).
30
What are the solutions to the quadratic function x^2 +4x=12
-6 and 2
Simplify using the rules. [(3x^2)^5 ] / 9x^3
Write the equation of a line in slope-intercept form for a function that is parallel to y=3x and passes through the point (1, 1).
y=3x-2
Identify the a, b, and c values from this quadratic function and plug in the values into the quadratic formula. (do not solve) y=2x^2-3x+4
+3±√(-9)^2-4(2)(4)
_________________
2(2)
Given f(x)=x^2+2x-7, find f(-3).
-4
The quadratic parent function f(x)=x^2 was transformed to g(x)= -f(x+3)-4. What is the new vertex?
(-3, -4)