Unit 1: Solving
Solve this:
6=1-2x+5
x=0
Describe the graph of the inequality b>2
open circle on 2 shaded to the right
Name the test we use to tell if a graph is a function
Vertical line test
Identify the slope and y-intercept of the line:
y=1/2x-7
slope: 1/2
y-intercept: -7
Describe the graph of this inequality:
y>3x+2
dashed line at 3x+2 and shading above.
Solve this:
26=x/6+5
x=126
-10<=-5x
(less than or equal to)
x<=2
(less than or equal to)
Evaluate f(3) for the function f(x)=-2x+7
f(3)=1
What can you identify from an equation in standard form?
the x-intercept and y-intercept
True or false:
A point on a solid line when graphing an inequality would be a solution to the inequality.
True
Solve the equation for y.
2x+y=7
y=-2x+7
Describe the graph of this inequality:
x<=-1 or x>1
(less than or equal to and greater than)
You are a busboy at Fryin' Pan. Each shift, you earn $30. You earn an extra $0.50 for each table you clear off. Write a function that represents your pay.
F(t)=30+.50t
Identify the slope and a point this line goes through:
y-3=2(x+2)
slope: 2
point: (-2,3)
Graph the system to find the solution:
y=-2x+3
y=1/2x-2
Intersection at (2,-1)
Solve this:
2(x-8)-x=x-16
Infinitely Many Solutions
Solve this:
3(w-3)>-9+4w
w<0
Which function is nonlinear?
A. y=3x+7
B. y=3x2
C. y=6
D. y-3=5/2(x+7)
B
Rewrite this equation into slope-intercept form:
3x+2y=12
y=-3/2x+6
Solve the system of equations:
2x-2y=4
y=x+6
No solution
Using the formula for the area of a rectangular prism, V=lwh, solve for w.
w=V/(lh)
Solve this:
5<3k-4<11
3<k<5
Is the following a function?
{(-1,8), (0,-8), (1,8), (2,-8)}
No
Which equation matches the table?
input: 1 2 3 4 5
output: 9 12 15 18 21
y=3x+6
Solve for the system of equations. What is y?
3x+y=10
x+2y=5
y=1