Matrices
Add matrices:
[ 2 7] [ 25 10]
+
[ 18 8] [ 19 5]
What is [27 17]
[37 13]
State the leading term and constant in this binomial:
3x-637
What is the leading term is 3 and the constant is -637?
Rewrite 3^7=2187 in logarithmic form.
What is log(base 3)2187=7?
Find the zeros of this parabola: y=x^2+4x-5
What is -5 and 1?
Evaluate 6!/10!.
What is 1/5040?
Subtract matrices:
[ 40 -4] [ -14 0]
-
[ 23 -12] [ 7 8]
What is [54 -4]
[16 -20]
Multiply these two polynomials using F.O.I.L.
(x+5)(x-8)
What is (X^2-3x-40)
Use the change of base formula to solve
log(base 4)16
What is 2?
Find the axis of symmetry and the vertex of this parabola: y= x^2+x+6.
What is -1/2, 23/4 (vertex) and -1/2 (A.O.S)?
Solve with elimination: 3y+4x=10 and 2y-4x=15.
What is (-5/4, 5)?
Multiply matrices:
[ 1 -8] [ 7 17]
x
[ 16 6] [ -4 30]
What is [39 -223]
[88 452]
Factor polynomial: (x^2-37x+210)
What is (x-30)(x-7)?
Solve log (base 8) 64/4096.
What is -2?
Find the zeros of this parabola, round to the nearest tenth if necessary: 5x^2+3x-7=0.
What is 0.9 and-1.5?
Find the distance between (2,6) and (5,7).
What is the square root of 10?
Find the inverse of matrix:
[-50 37]
[5 22]
What is [-22/1285 37/1285]
[1/275 10/257]
Solve this polynomial equation:
(5x^2-175x+750)
What is x=5, x=30, and x=0?
Solve e^ln(x^7-97x).
What is (x^7-97x)?
Find the minimum or maximum of this parabola, round to the nearest whole number if necessary: x^2-2x+4.
What is a minimum at (1,3)?
Find L in H=3L+4D.
What is H/3 -4/3 D = L?
Solve this system of equations using a matrix. Round to the nearest tenth if necessary.
3x-z-+12y=5
2z+6y-x=14
4y+2x+5z=27
What is
x = 0.13
y = 4.73
z = 0.78
Write a polynomial whose roots are -7 and 39.
What is (x^2-32x-273)?
Solve: log 30x - log 5 > log 150.
What is x > 25?
Find the minimum or maximum of this parabola, round to the nearest whole number if necessary: -x^2-5x+1.
What is a maximum at (-2.5, 7.25)?
Find the product 5x^2(12x+10).
What is 60x^3+50x^2?