The distance a number is from zero on a number line.
What is an absolute value?
This happens when multiplying or dividing an inequality by a negative number.
What is the sign flipping?
The name of the number that is added to the previous term to get the new term in the arithmetic sequence.
What is the common difference?
The process of solving a system of equations by using addition to eliminate one variable.
What is elimination.
This is the description of the solution to a system of inequalities.
What is the region that is double shaded?
An answer that does not meet the constraints of a problem.
What is an extraneous solution?
The solution to the following absolute value inequality.
3abs(x+7)-8le-x-11
What is
{x|-9lexle-6}?
The function
y=2/3x+1/2
in standard form.
What is
4x-6y=-3
?
The solution to a system of parallel lines.
What is no solution?
The number of solutions to a system of inequalities if the shaded regions do not overlap.
(Explain your answer)
What is no solution?
Because there are no coordinate points that make both inequalities true.
The solution to the following absolute value equation.
abs(3x-10)=6x+11
What is
(-1/9)
(TRUE OR FALSE):
When graphing the solution to the following absolute value inequality,
abs(1/2x-3)+10gt16
the solution is in between the two endpoints.
What is False?
The equation that can be used to determine the nth term of the sequence if the 5th term is 16 and the common difference is 2.5.
What is an=2.5n+3.5?
The solution to the following systems of equations.
5x-2y=1
2x+8y=7
What is (0.5,0.75)?
This is the method to determine that you shaded the correct region when solving a system of inequalities.
What is plugging in a coordinate point into both inequalities to create true statements?
These are the steps to solve an absolute value equation.
What are
Step 1 - Isolate the absolute value to one side of the equation.
Step 2 - Create a positive and negative case.
Step 3 - Solve each case for the unknown variable.
Step 4 - Check answers for extraneous solutions.
The solution to the following absolute value inequality.
abs(2x-8)/3-10lt6
What is
{x|-20ltxlt28}
The equation of a line that passes through the points (13, -5) and (20, 26.5) in standard form.
What is
9x-2y=127
This is the best method to solve the following systems of equations.
x=2y+15
3x-7y=43
(MUST EXPLAIN WHY!!)
What is substitution.
The solution to the following system of inequalities.
yle4x-3
-2ygtx
What is
The solution to the following absolute value equation.
-2abs(5x+9)+7x=7x+8
(Justify your answer)
What is no solution? Because the absolute value cannot equal -4.
The temperature of an oven varies by as much as 7.5 degrees from the temperature shown on its display. If the oven is set to 425 degrees, these are the minimum and maximum actual temperatures of the oven.
(Must show work!!)
What are 417.5 and 432.5 degrees.
Meghan is saving for a prom dress. Her parents gave her $75. Each week she haves an additional $15. This is the number of weeks that she needs to save money, if the prom dress that she wants to buy is $168.
What is 7 weeks?
Last season, the volleyball team paid $5 for each pair of socks and $17 for each pair of shorts. They spent a total of $315. This season, the price of socks is $6 per pair of socks and $18 per pair of shorts. The team spent $342 for the same number of socks and shorts as the previous season. This is the number of socks and shorts that team purchased each season.
What is 12 pairs of socks and 15 pairs of shorts?
A choir concert will be held in a venue with 500 seats. The goal of the choir director is to make at least $3250. Adult tickets cost $8 and student tickets cost $5. This is the system of inequalities that represents the situation, where x is the number of adult tickets sold, and y is the number of student tickets sold.
What is
x+y is less than or equal to 500
8x+5y is greater than or equal to 3250