Inequality 1
If the inequality symbol is < or ≤ you shade ____________.
below
Solve for t. 6t + 4 ≤ –2
t <= -1
Find the solution set of the inequality below:
25 – 4x > –7
x < 8
Write the inequality that shows x is at most 7
x<=7
Give a one-sentence definition of the elimination (addition) method
Elimination: add or subtract equations (possibly after multiplying) to eliminate one variable so you can solve for the other
If the inequality symbol is > or < the line is ____________.
dashed
Solve: –4x – 7 ≥ 21
x <= -7
Is (-1, 5) a solution to the system
{(2x,+,y,<=,3),(x,+,2y,>,5):}
yes
When graphing x>3 on a number line, what kind of dot do you use at 3 and which direction do you shade?
open circle and the line should go towards the right
What is meant by "isolating a variable" and why is it useful in solving systems by substitution?
Isolating a variable: rearranging an equation so one variable equals an expression in the other(s); it simplifies substitution.
When graphing
y >= 1/9x + 4
you will draw what type of line and shade where?
Solid Line and above the line
Name the x- and y-intercepts for the equation:
2x - y = 6
x-int: (3, 0)
y-int: (0, -6)
Is (-2,-3) a solution to the system
{(2x,+,y,<=,3),(x,-,y,>,5):}
No
If a system of two inequalities has no overlap in their graphs, what do we call the solution to the system?
no solution. parallel lines. the lines have the same slope but different y intercepts.
Define "like terms" and explain why aligning like terms is important in elimination.
Like terms: terms with the same variable(s) raised to the same power; aligning them allows cancellation during elimination.
Tina solved the following inequality for x below.
1 – 3x ≤ 13
–3x ≤ 12
x ≤ 4
What mistake did Tina make solving the inequality?
Tina forgot to flip the inequality sign.
If 5h + g > 15, solve for g .
g > 15 - 5h
For what values of x is the inequality
3/4 + x/4 <2
x < 5
What is a system of inequalities? Give a one-sentence definition.
(NOTES) A set of two or more inequalities whose common solutions satisfy all inequalities simultaneously.
Whats the first thing to look for when solving systems using the elimination method?
MAKE SURE THAT THE PROBLEM IS aligned correctly