Lines and Slope
0
Consider the following steps in solving an equation:
Step 1:
2(x-3)+8x=5x+9
Step 2:
2x-6+8x=5x+9
What property is used?
Distributive Property
What is the range of the function
f(x)=x-8?
all real numbers
Simplify
a^(-3)a^8
a^5
What are the solutions to
x^2-15x+56=0?
7 and 8
What is the value of
2x^3y^2
when x=-2 and y=3?
-144
What is the slope and y-intercept of the graph of the following function?
3x-4y=12
Slope = 3/4
y-intercept = -3
Consider the following steps in solving an equation:
Step 1:
2x-6+8x=5x+9
Step 2:
2x+8x-6=5x+9
What property is used?
Commutative Property of Addition
Find the values of
f(x)=-x^2+7
for the domain values of {-3, 6}
f(-3)=-2
f(6)=-29
Simplify
((2x)^5)/(x^3)
32x^2
What is the y-value of this system of equations
2x+3y=11
3x-y=-11?
5
What is the value of
x(5+y)^2
if
x=-2/3
and
y=-8
-6
What is the slope of the line that goes through the points (-3,5) and (-5,-8)?
m=13/2
What is the solution of
3/2p-8=1/4x+1
? Write your answer in fraction form.
p=7.2=36/5
If
f(x)=-5sqrt(16-x)
what is
f(7)?
-15
Simplify
(3x^4y^0z)^2
9x^8z^2
Solve the following system of equations
6y=3x+18
x-2y=10
no solution
Translate the following verbal expression to a verbal expression:
Five less than the quotient of two and a number
2/x-5
Write an equation representing the line that is perpendicular to the following line and goes through the point (6, -4):
y=3x+7
y=-1/3x-2
Solve the equation for x.
2(3x-4)=4(x+1)+2x
no solution
What is the x-intercept of the graph of the function
y=-4x+20?
5
What is the product of
4x^3
and
6x^4?
24x^7
What is the product of
(3x-4)(3x+4)?
9x^2-16
Translate the following verbal expression into an algebraic expression:
The product of a number and three increased by 7 is the same as half of the number squared
3x+7=1/2x^2
List three (whole number) points that are on the line of
3x-2y=14
within the domain of
-5<=x<=5
(-4,-13), (-2,-10), (0, -7), (2, -4), (4, -1)
John is packing for a move. He owns more than 100 pounds of video games. He has already packed 60 pounds of those video games. If each box can hold 15 pounds, write an inequality that can be used to represent the number of boxes, b, he needs for packing the rest of the video games.
15b+60>100
Write an equation representing the relationship shown by the following points: (0, -3), (1, -1), (2, 1), and (3, 3).
y=2x-3
Simplify
(5/x^(-2))^2+3/y^(-2)
25x^4+3y^2
What is the product of the following expression?
(3x-5)(2x+6)
6x^2+8x-30
What is the value of
sqrtx/(-|z|)+sqrt32
if x=196, y=-343, and z=-2?
-7+4sqrt2