Simplify the expression: (4x7)2
16x14
Solve for x: 7x+6=41
x=5
Find the slope of a line that passes through the points (-1, 4) and (3, -8).
Slope= -3
Solve the system of equations by substitution:
x + y=4
y=3x
x=1, y=3
Is the point (6, 0) a solution to the inequality below?
y < x-2
Yes! 0<4
Evaluate the expression for x=5 and y=2:
y3-4x
-12
Solve for x: (y/2)-5=6
y=22
Name 3 points that lie on the line: y=3x+5
NO GRAPHING!
Answers may vary... :)
Solve the system using elimination:
3x+13y=12
4x-13y=16
x=4, y=0
How do you know when to have a closed circle or open circle when graphing an inequality on a number line?
Closed: greater than or equal, less than or equal
Open: greater than, less than
Factor out the GCF and rewrite in factored form:
35x2-14x
7x(5x-2)
Solve for r: -5(r+4)=-96
r=76/5 OR r=15 and 1/5
What is the slope of any vertical line?
Undefined!
There are three different amounts of solutions that a system of equations can have. What are they?
No solution, one solution, infinity many solutions!
Graph the solution to the inequality on a number line:
3x+1 < 2x-4
Open circle on -5, arrow going to the LEFT.
Factor the trinomial completely:
x2+x-30
(x+6)(x-5)
Solve the following proportion:
(22/8)=(110/m)
m=40
Write the following in slope-intercept form:
3x+5y=-30
y=-3/5x-6
Does the system below have no solution, one solution, or infinite solutions?
10=7y+10x
10x+7y=17
NO solution! You should've gotten an untrue equation (ex: 7=0)
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.75 per mile. Katie has no more than $10 to spend on a ride. How many miles can Katie travel without exceeding her budget?
Katie can travel at most 11 miles.
Use the distributive property to multiply:
(3y+1)(2y2+4y-3)
6y3+14y2-5y-3
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 180 lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1440 lb. How many boxes of books can the delivery person bring up at one time?
21 boxes of books
Write the equation of a line in slope-intercept form that passes through the following points: (-3, 7) and (2, -3)
y=-2x+1
If the equations are the same line!
Solve the following inequality:
-2n-40 < 5(6+n)+7n
-5 < n OR n > -5