Systems of Lin. Inequalities
Exponents
Word Problems
System of Lin. Equations
True or False
100
Graph this system of linear inequalities
100
Simplify. Your answer should contain only positive exponents. (DON'T MULTIPLY THE NUMERALS TOGETHER, LEAVE AS POWERS)
(7h^3)^2(2h)^7
2^7*7^2*h^13
100
The difference between two positive numbers is 28. One number is three times the other. Find the two numbers.
The larger number is 21, while the smaller number is 7.
100
text(Solve and graph)
{(3x,+,2y,=,-4),(6x,+,4y,=,-8):}
Infinitely many solutions.
100
32+5 = 32 + 35
FALSE
3^(2+5) = 3^2 * 3^5
200
Graph the solution to this system:
{(y,ge,-3/7x,+,3),(y,ge,-4/3x,+,4):}
y < x
x >= 2
200
Simplify. Your answer should contain only positive exponents. (DON'T MULTIPLY THE NUMERALS TOGETHER, LEAVE AS POWERS)
3x^4*x^3*(2x)^(-7)
3/128
200
Suppose you finish a session of black jack with $5 chips and $25 chips. You have 45 chips in all that have a total value of $465. How many of each kind of chip do you have?
There are 33 of the $5 chips and 12 of the $25 chips
200
{(2x,-,3y,=,6),(5x,+,2y,=,17):}
Solve for x and y and graph
y = 6x − 11
−2x − 3y = −7
(63/19,12/57)
200
(an)(bn) = (ab)n
TRUE
300
Write a system of linear inequalities that match the overlapping shaded region.
y < -(5/4)x + 5
y le -2x+6
300
Simplify. Your answer should contain only positive exponents. (DON'T MULTIPLY THE NUMERALS TOGETHER, LEAVE AS POWERS)
(5a)^(-2)/(5a^5*a^(-6))
a^4/5^7
300
A line has a y-int at (0,12) and an x-int at (9,0). What is the slope of this line?
The slope of the line is
-4/3.
300
Solve for x and y and graph
{(-3x,-,y,=,7),(6x,+,7y,=,11):}
(-4,5)
300
x ^-1 = 1/(-x)
FALSE
x ^-1 = 1/x
400
Solve for the system of inequalities:
{(3x,+,5y,le,14),(3x,-,4y,ge,5):}
{(x,ge,2):}
y< 2x + 5
y >= 2x - 5
400
Simplify. Your answer should contain only positive exponents. (DON'T MULTIPLY THE NUMERALS TOGETHER, LEAVE AS POWERS)
(y^5/u^(-7))^(-8)
1/(u^56*y^40)
400
Cory has 50ft of fencing and will create a rectangular pen for sheep. Assuming he can choose different lengths and widths, create an equation to describe the different dimensions he could use.
The dimensions Cory could use for his fence are 25-x and x.
400
A concert is charging $5.50 for adult tickets and $4.00 for kids under 12 years of age. 70 tickets were sold for a total of $310. How many of the tickets were adult tickets and how many were sold to kids under 12?
20 tickets were sold to adults, and 50 tickets were sold to children under 12.
400
a0 = a
FALSE
a0 = 1
500
Write a system of inequalities whose solution is the set of all points in quadrant III, including the axes.
x <= 0
y <= 0
500
Simplify. Your answer should contain only positive exponents. (DON'T MULTIPLY THE NUMERALS TOGETHER, LEAVE AS POWERS)
(u^5/u^7)^-8
u^16
500
Lela goes down a slide at a constant rate. She starts at a height of 45f and reaches the ground after 15 seconds. Write an equation and draw a graph to describe Lela's height after each second.
y=-3x+45
500
Der. Hagan invested twice as much money in an account that pays 7% interest per year as she did in an account that pays 6% per year. Her total investment pays her $1000 per year in interest. How much did she invest at each rate?
In the account that has 6% interest, Der invested $5,000, while in the account that has 7% interest, Der invested $10,000.
500
(a+b)^2=a^2+b^2
FALSE!!!!!
(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2