What is the difference between solving an equation and solving an inequality?
When multiplying/Dividing by a negative, inequality symbol flips.
100
How do you know whether a given value is a solution to an inequality?
Ans1. If the given value lies on the shaded area
Ans2. If you substitute the value and after evaluating, it makes the inequality true.
100
_____ _____ is the term used to describe the pair of x- and the y-coordinate of a point.
Ordered pair
100
What method are we using to graph linear equations?
Table of Values
100
Name the property that is being used:
2/9(1/3 - 4/9) = 2/9(1/3) - 2/9(4/9)
Distributive property
200
Solve:
-x/3 ≤ 13
x≥-39
200
Sketch the graph of the inequality:
-n<-5
n>5
*Open circle on 5 shaded right*
200
Draw and label the parts of a coordinate plane.
(Hint: there are 7 parts)
x-axis, y-axis, origin, Quadrant I, II, III, and IV
200
Sketch the graph of the line:
x=-5
Vertical line going through x=-5
200
Evaluate the expression:
550-4(3+5)^2
294
300
Solve:
-1/2 x + 3 < 7
x>-8
300
Sketch the graph of 5x+12≤62
x≤10
*Closed circle on 10, shaded left*
300
Write the ordered pairs that correspond to the points A, B, and C (See graph on pg.206; #12).
A(-3,0), B(-4,-3), C(0,2)
300
Re-write the equation in function form:
2x+3y=6
y=-2/3x + 2
300
Simplify the expression:
4w^2 - w(2w - 3)
(pg.104;#69)
2w^2+3w
400
-2(x+3) < 4x-7
x > 1/6
400
Determine whether 0 is a solution to
-x+6>-(2x+4)
YES!!
400
Without graphing, tell the location of points A, B, and C (See pg.206, #16)
A-origin, B-Quadrant IV, C-x-axis
400
Find 3 different ordered pairs that are solutions to:
y=-6
Any points that have the format (_,-6)
400
Write and simplify an expression for the perimeter of a rectangle with length: x and width: x-7
(see figure pg.105; #79)
4x-14
500
The base of a triangle is 12cm and its height is x. Write an inequality for the value of x, if the area of the triangle is greater than 60cm^2 (real-life problem!).
x>10cm
500
Graph 2x-1>6x+2 and determine whether 5 is a solution to the inequality.
x<-3/4
Open circle on -3/4 shaded left,
5 is not a solution.
500
Plot, label, and tell the location of points A, B, and C (see pg.206, #18)
A-QIV, B-QI, QIII
500
Graph the linear equation:
6x+3y=0 (use x=0,-1, 1)
(0,0), (-1,2), (1,-2)
500
The sides of the given triangle are equal. The two sides are expressed as: Side 1: 9x-8 ; Side 2: 3x+10. Find the perimeter of the triangle.