Graphing Inequalities/ Inequality Word Problems
A compound inequality that combines two simple inequalities with the word “and” is called this.
What is a conjunction?
The absolute value inequality |x|>3 will give you these two answers.
What is x > 3 or x < -3?
Solve this using substitution:
y= 2x+3
x + y=9
What is (2,7)?
Julian’s wallet has 9 bills in it including only fives and tens. If the total value is $60, how many of each type of bill are there?
What is 6 fives and 3 tens?
Name the four letter acronym that helps you multiply binomials together and also what it stands for.
What is FOIL?
If the individual simple inequalities of a disfunction overlap and go in opposite directions, these are the solutions.
What is all real numbers?
Usually, the best test point to use for determining shading is this.
What is the origin? (0,0)
Solve this using elimination:
x + y=4
x - y=3
What is (7/2, 1/2)?
The formula for a power raised to a power.
What is (am)n= amn?
When you multiply a monomial by a polynomial, you use this property.
What is the distributive property?
The missions club is having a spaghetti dinner to raise funds. At $4 per dinner, how many dinners must they sell to take in at least $350?
What is at least 88 dinners?
Inequalities with < and > are graphed using these kind of lines.
What is dashed lines?
Solve this system using substitution:
y=-2x+4
y=1/4x-5
What is (4, -4)?
The sum of two numbers is 71, and their difference is 13. Find the numbers.
What is 42 and 29?
When you square a binomial, you end up only using the answers from these two terms from FOIL.
What is the first and last terms?
Write this inequality on the board and solve: The sum of ten times a number and four is at least negative six.
What is 10n + 4 >= -6?
Answer is n>= -1
For a graphed system of inequalities, any point within this region is a solution.
What is the overlapped shading?
Solve this using substitution:
4x + y= 15
3x + 5y=41
What is (2,7)?
Solve (bc)2.
What is b2c2?
When setting up a polynomial long division problem, you must always arrange the dividend and divisor in this order.
What is conventional order?
Graph this on the board: 0 < x < 3
See pg. 131
Solve 2|x+3| < 4.
What is -5 < x <-1?
Solve this using elimination:
x - y=2
2x -y=4
What is (2,0)?
Solve (2m5n)5.
What is 32m25n5?
Solve 14x2 + 21x + 49 divided by 7.
What is 2x2 + 3x + 7?