QUADRATIC
What is the quadratic term in the equation
7x2 - 6x +5 =0 ?
7x2
The consecutive angles of a parallelogram are _____________.
supplementary
What kind of variation represents the equation y = kx?
Direct Variation
Simplify: (x1/3 ) * (x5/3)
x2
What is the equation of the statement "y varies directly as a and b and inversely as the square of c"?
y = kab/c2
What is the nature of the roots of x2 - 7x - 12 = 0?
real, rational, unequal
The median of a trapezoid measures 20 cm. One of the bases measures 12 cm. Find the length of the other base.
28 cm
Given that "y varies jointly as x and z", y = 4 when x = 5 and z = 7. Find the constant of variation.
k = 4/35
Evaluate (322/5) (272/3)
36
What is the factored form of the equation
x2 + 2x - 3 = 0
(x + 3) (x - 1) = 0
Find the quadratic equation whose sum is 4 and whose product is -7.
x2 - 4x - 7 = 0
Suppose that HERO is a parallelogram, where HE = 2x and OR = x +5. Find the measure of HE.
HE = 10
z varies jointly to x and y. If x=2, y=3, and z=12, find x if y=2 and z=16.
x = 4
What is the simplest form of 405-26-11000(1/2-1)
1/75
Rewrite f(x) = x2 - 6x + 10 as a vertex form.
y = (x - 3)2 + 1
Illustrate the solution of the quadratic inequality
x2 - 3x - 10 > 0
x < -2 or x > 5
Find the area of a kite whose diagonals measure 8 cm and 20 cm respectively.
A = 80cm2
The sales tax on the purchase of a new cellphone varies directly as the price of the cellphone. If an P18,000 new cellphone is purchased, then the sales tax is P1,350. How much sales tax is charged if the new cellphone is priced at P27,900?
P3, 100
Find the product of the expression
(2x2y3) (x-2y)-1
2x4y2
q varies jointly as g and square of b. If q = 210 when g = 28 and b = 10, find q when g = 20 and b = 6.
q = 540
Five times the square root of 1 less than a number is equal to 3 more than the number. Find the numbers.
2 and 17
Suppose that KITE is a kite. The length of two diagonals are (x + 5) m and (x - 4) m respectively. Find the measure of two diagonals if the area of KITE is 26 m2.
8 meters and 4 meters
The current C varies directly as the electromotive force E and inversely as the resistance R. If in a system a current of 20 amperes flows through a resistance of 20 ohms with an electromotive force of 100 volts. Find the Resistance for 150 volts and 60 amperes.
10 ohms
Find the value of x that will satisfy the equation
2(x+2) = 4(2x - 3)
x = 8/3
Suppose ABCD is a trapezoid and EF the median of trapezoid ABCD. The length of the bases are (x +7)m and (5x - 1)m and the length of median is (2x + 1)m. Find the length of the larger base.
b1 = 10m and b2 = 4m
Therefore the length of the larger base is 10m