Real Numbers and Operations with Radicals
When solving the equation 5(2x+10)=100, Jacob wrote 10x+50=100. Which property justifies Jacob's first step?
Distributive property
Write the equation of the line with y-intercept of 6 and slope of -1
y=-1x+6
Given the relation R={(-2, 2), (3, 6), (5, 7), (x, -1)} state a value of x that would make this relation a function
Any # EXCEPT -2, 3, or 5
The expression 2x(3x2-2x+4) is equivalent to
6x3-4x2+8x
Factor completely 36x2-25y2
(6x+5y)(6x-5y)
When solving the equation 4x2-16=0, Laura wrote 4x2=16. Which property justifies Laura's first step?
Addition property of equality
State a value of x that is in the solution set of the inequality -3x+6>12
-3, -4, -5, -6, ...
Given f(x)=(3x+6)/4, f(2) is
3
Simplify (-80x4-32x2+24x)/8x
-10x3-4x+3
The roots of the equation x2+6x+8=0 are
{-4, -2}
Is the product of sqrt(12) and sqrt(80) rational or irrational? Explain.
Irrational because it doesn't end and it doesn't repeat.
If the point (k, -5) lies on the line whose equation is 6x+2y=14, then the value of k is
4
Find the rate of change between the points (-3, -9) and (3, 3)
2
Simplify (-4x3)2
16x6
Solve 8x2=80 for the exact values of x.
+- sqrt(10)
Which domain is most appropriate for a function f(x) that represents the number of items placed into a laundry basket each day, x?
A. integers
B. whole numbers
C. rational numbers
D. irrational numbers
B. whole numbers
John has 5 more quarters than dimes in his pocket, for a total of $3.00. Write an equation to determine the number of dimes, x, in his pocket.
0.10x+0.25(x+5)=3.00
Write the equation of the line that passes through these two points (2, 12) and (3, 10)
y=-2x+16
Subtract 2x2+4x-5 from 3x2+7x+10
x2+3x+15
Factor completely 5x2-125
5(x+5)(x-5)
Simplify (3/5)sqrt(50)
3sqrt(2)
The owner of a computer repair company has one employee who is paid an hourly rate of $15. The owner estimates his weekly profit using the function P(x)=8500-15x. In this function, x represents the number of
hours worked per week
Solve the system of equations
3x-4y=10
x+y=1
(2, -1)
The expression (x-2)2 is equivalent to
x2-4x+4
Solve by using the quadratic formula. Express answer in simplest radical form.
x2-6x=19
3+-2sqrt(7)