# MATH 117 EXTRA PRACTICE

DIRECTIONS: Show all work on this test paper.

Solve :

Find the term that should be added to the expression to form a perfect square trinomial . Write the
resulting perfect square trinomial in factored form.

Solve the quadratic equation by completing the square.

Rewrite the quadratic equation in the form ax2 + bx + c = 0, then identify a, b, and c.

the answer is not real state NR.

Solve using the quadratic formula. Use a calculator to approximate the solution to three decimal
places.

Solve.

 14) A square sheet of posterboard has an area of 169 square centimeters. What is the length of each side?

 15) A square sheet of paper measures 30 centimeters on each side. What is the length of the diagonal of this paper?

State the value of the discriminant and use the discriminant to determine whether the following
equation has solutions that are: two real solutions; one real solution; or two nonreal solutions.

Set up an equation and solve each problem.

 19) Find two consecutive odd numbers such that the sum of their squares is 74 20) The length of a rectangular floor is 9 meters less than three times the width . If a diagonal of the rectangle is 17 meters, find the length and width of the floor. 21) Find two consecutive positive integers such that the square of the larger integer added to four times the smaller integer is equal to 113.

Find the x- and y-intercepts. If no x- intercepts exist , state so.

Solve the equation.

Solve.

Solve the problem. Round your answer to the nearest tenth, if necessary.

 27) Two pipes together can fill a large tank in 10 hr. One of the pipes, used alone, takes 15 hr longer than the other to fill the tank. How long would each pipe take to fill the tank alone? 28) A man rode a bicycle for 12 mi and then hiked an additional 8 mi. The total time for the trip was 5 hr. If his rate when he was riding a bicycle was 10 mph faster than his rate walking, what was each rate?

Determine the direction the parabola opens, the coordinates of the vertex and the axis of symmetry
for each of the following equations..

Graph.

Use the vertex and a few other points to sketch the graph of the parabola . Give the equation for
the parabola's axis of symmetry.

 32)

Axis of symmetry____________

 33) Graph the following parabola. Label the coordinates of the vertex and draw in the axis of symmetry.

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