Matrices
Matrix Operations
Percents
Functions
Expressions/Equation
100
Give the order of the given matrix.
[[4,-8,7],[-9,1,-7]]
2 x 3
100
Find A + B
A=[[4,-1],[4,-8],[-1,-9]], B=[[-5,-6],[-6,9],[2,7]]
[[-1,-7],[-2,1],[1,-2]]
100
Find the amount of discount and the sale price after the discount.
Original price = $58.80
Rate of Discount = 20%
Amount of Discount = $11.76
Sale Price = $47.04
100
Determine whether the relation is a function.
Give the domain and the range of the relation.
{(4,3),(4,5),(4,7),(4,8)}
Yes, it is a function.
Domain: {4}
Range: {3, 5, 7, 8}
100
Evaluate the expression. Assume that all bases are not equal to 0.
3z^0+7
10
200
Identify
a_31
[[4,-8,7],[-9,1,-7]]
Element
a_31
does not exist.
200
Find A - B
A=[[4,-1],[4,-8],[-1,-9]], B=[[-5,-6],[-6,9],[2,7]]
[[9,5],[10,-17],[-3,-16]]
200
Find the sales tax rate and the total cost.
Cost of Item: $475
Amount of Tax = $28.50
Tax Rate: 6%
Total Cost: $503.50
200
Find the domain and the range of the following relation. Also, determine whether the relation is a function.
Domain: {Venus, Mars, Jupiter, Saturn, Neptune Pluto}
Range: {20, 32, 45, 40}
Yes, it is a function.
200
Simplify. Use positive exponents only.
((2x^2)/x^9)^2
4/x^14
300
Identify
a_13
[[4,-8,7],[-9,1,-7]]
7
300
Find 2A
A=[[4,-1],[4,-8],[-1,-9]], B=[[-5,-6],[-6,9],[2,7]]
[[8,-2],[8,-16],[-2,-18]]
300
A stereo system was prices at $640 and is on sale at 24% off.
Find the discount and the sale price.
The amount of the discount is $153.60
The sale price is $486.40
300
Find the domain and range of the relation. Use the vertical line test to determine whether each graph is the graph of a function.
Domain:
x>=-4
Range: all real numbers
Not a function.
300
Simplify. Write the answer using positive exponents only.
(-xy^0x^3a^6)^-3
-1/(x^12a^18)
400
Find values for the variables sot that the following matrices are equal.
[[x,4y],[z,3]]=[[5,16],[5,3]]
x = 5
y = 4
z = 5
400
Find 8A - 9B
A=[[4,-1],[4,-8],[-1,-9]], B=[[-5,-6],[-6,9],[2,7]]
[[77,46],[86,-145],[-26,-135]]
400
Write the number in scientific notation.
0.0184
1.84 times 10^-2
400
Find the indicated values for
f(x)=1/2x
f(0) =
f(22) =
f(-22) =
f(0) = 0
f(22) = 11
f(-22) = -11
400
Simplify. Write the answer using positive exponents only.
(8xy^7)^-3(6x^3y)
3/(256y^20)
500
Add the following matrices:
[[1,-2],[5,-9]]+[[0,-7,4],[3,8,2]]
Undefined.
500
Solve the matrix equation 2X + A = B for X if
A=[[6,-5],[-7,9],[-7,2]] and B=[[-8,5],[3,7],[9,-4]]
X=[[-7,5],[5,-1],[8,-3]]
500
Write the number in scientific notation.
On a recent day, the store featured more than 420,000 songs to buy for $0.99 each.
4.2 times 10^5
500
Forensic scientists use the following function to find the height of a woman if they are given the height of her femur bone, f in centimeters. Find the height of a woman whose femur measures 50 centimeters.
H(f)=2.59f+47.24
176.74 centimeters
500
Solve for y.
x-3y=10
y=(x-10)/3