Alg2 Unit2
Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1 + i) + (21 + 5i)?
* (-1 + 21) + (i + 5i)
Which equation demonstrates the multiplicative identity property?
* (-3 + 5i)(1) = -3 + 5i
For what values of m does the graph of y = 3x2 + 7x + m have two x-intercepts?
* (-7/6, 0) so m<7/6
Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?
* 1+/- sqrt (-1)*2 -4(7)(-9)
A rectangular pan has a length that is 4/3 the width. The total area of the pan is 432 in.2. What is the width of the cake pan?
* 18 inches.
Which equation is the inverse of (x - 4)*2 - 2/3 = 6y- 12
* 4+/- sqrt 6x minus 34/3
Using the quadratic formula to solve 4x2 - 3x + 9 = 2x + 1, what are the values of x?
* 5 */- sq rt 103i/8
Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches off of the width. The area of the smaller square is 1/4 the area of the original square. What was the side length of the original square?
* 6
Which phrase best describes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 - 2?
* 6 units left and 9 units down
Solve for in the equation x*2 -12x + 36 = 90
* 6+/ 3 sqrt 10
Which equation is y = 9x2 + 9x - 1 rewritten in vertex form?
* 9 (x - (-1/2) )*2 - 13/4
The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?
* The complex numbers have opposite real parts.
Which statement about the following equation is true? 2x2 - 9x + 2 = -1
* The discriminant is greater than 0, so there are two real roots.
Which statement about the following equation is true? 3x2 - 8x + 5 = 5x2
* The discriminant is greater than 0, so there are two real roots.
The graph below shows the height of a projectile t seconds after it is launched. If acceleration due to gravity is -16 ft/s2, which equation models the height of the projectile correctly?
* h(t) = -16t2 + 32t + 5
Use completing the square to solve for in the equation (x - 12)(x + 4) = 9
* x = +/- sqrt 73
Solve for x: x*2 - 8x + 41 = 0
* x = 4 +/- 5i
Which values of x and y would make the following expression represent a real number? (4 + 5i)(x + yi)
* x =4; y = -5
What is the domain of y = 2 sqrt (x-5)
* x >/ 5
If x2 + mx + m is a perfect-square trinomial, which equation must be true?
* x2 + mx + m = (x + 1)*2
Which equation has a graph that lies entirely above the x-axis?
* y = (x - 7)*2 + 7
Which equation is the inverse of y = 9x2 - 4?
* y = +/- sqrt x + 4 / 3
Which equation represents a graph with a vertex at (-3, 2)?
* y = 4x*2 + 24x + 38
A box is to be constructed with a rectangular base and a height of 5 cm. If the rectangular base must have a perimeter of 28 cm, which quadratic equation best models the volume of the box?
* y = 5(14 - x)(x)
Which function has the domain x?
* y = sq rt x + 5 + 11
