Unit Test — Unit test Answers

The length of a rectangle is three times the width. The area of the rectangle is 108 sq in. What is the width of the rectangle?

The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle?

Which equation represents a graph with a vertex at (–3, 2)?

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) = at2 + vt + h0

Solve for in the equation .

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 2)3 – 3. Which is the graph of g(x), the translated function?

Solve for in the equation .

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 3)3 – 4. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

What is the domain of the function ?

Which function has the domain ?

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? V = lwhP = 2(l + w)

Which is the graph of the function f(x) = x3 + x2 + x + 1?

Use the zero product property to find the solutions to the equation 6x2 – 5x = 56.

Which phrase best describes the translation from the graph y = (x – 5)2 + 7 to the graph of y = (x + 1)2 – 2?

Which equation is the inverse of y = 9x2 – 4?

Which equation has a graph that lies entirely above the x-axis?

If x2 + mx + m is a perfect-square trinomial, which equation must be true?

Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.

Use completing the square to solve for in the equation .