Lessons 1 - 20
Evaluate 4x - 5x²y if x = 2 and y = -5
108
Solve the systems of equations by substitution. y - 4x = 3 4y - x = -12
(-8/5, -17/5)
Find the difference between the points (-2, 7) and (8, 4). Round to the nearest 10th.
10.4
Find and use the discriminant to describe the roots of the equation 5x² + 45 = 40x
Discriminant: 700, two real roots
Solve for matrix x.
x - [ 5 2 = [ 4 7
6 3 ] 5 -9 ]
x = [ 9 9
-1 -6 ]
Identify any excluded values. Simplify. (3x² + 18x + 27)/(5x² + 40x + 75)
Excluded values: x = -3, x = -5 3(x + 3)/5(x + 5)
The leg of a 45°-45°-90° triangle is 6 cm. Find the length of the other leg and the hypotenuse.
Leg: 6 cm, Hypotenuse: 6√2 cm
Rewrite the expression as a sum or difference of terms and simplify ln(4x³/e²)³
3ln4 + 12lnx - 6
Classify the polynomial by degree and number. -7x⁵ + 3x⁴ - 5x³
Quintic trinomial
Multiply and evaluate for a = 6, b = 2. (6ab²)/(4b²) • (15a²b²)/(5ab³)
(9a²)/(2b)
The box contains 6 blue and 4 black socks. What are the odds in favor of picking a blue sock?
3/2
Find a₅ given that a₄ = 40 and a₇ = 1080
a₅ = 120
Find x. | x+2 6 | = 3
| 5 3 |
x = 9
Write a quadratic function that has zeros -7/4 and 1.
4x² + 3x - 7
Solve x² + 64 = 0. Write in terms of i.
±8i
Find a₇ of an arithmetic sequence given that a₃ = 37 and a₁₀ = 65
a₇ = 53
Multiply (r + 4)(r - 5)(r + 2)
r³ + r² - 22r - 40
Divide using long division: (x⁴ - 4x³ - 15x² - 32x - 30) by (x + 3)
x³ + x² - 18x + 22 - (96/(x - 3))
Write in the form of a + bi. (6 + 7i)(8 - 4i)
76 + 32i
Write the equation of the circle with endpoints at (6, 4) and (2, 3)
(x - 4)² - (y - 3.5)² = 17