Math 98 Summer 2010

Exam 4 Review

Chapter 10 with Money & Mixture

Money Problems(We all got ‘em)

At the Rock and Roll Hall of Fame in Cleveland, Ohio, one adult admission is $20 and one child admission is $11. During one day, a total of 1551 admissions were sold and $24,441 was collected for admission sales. How many child admissions were sold?

Mixture Problems(Lumpy Things)

At Agway Gardens, bird food is sold in bulk. In one barrel are sunflower seeds that sell for $1.80 per pound. In a second barrel is cracked corn that sells for $1.40 per pound. If a mixture is made by taking 2.5 pounds of the sunflower seeds and 1 pound of the cracked corn, what should the mixture cost per pound?

Mixture Problems(Juicy Things)

A fruit drink is 8% juice by volume. Ice is added to the 6 ounces of the fruit drink. After the ice melts, the juice content of the resulting mixture is 6%. Find the volume of the mixture of fruit drink and melted ice.

Square Root Property

Solve. 18)53( 2 x

Completing the SquareThere WILL be one of these on the test.

Solve by completing the square.

02463 2 dd

Quadratic Formula

a

acbbx

2

42

If

Then

Solve using the quadratic formula.

02 cbxax

842 xx

The Discriminant

• The discriminant is the b2-4ac piece of the quadratic formula.

• The sign of the discriminant reveals how many real solutions a quadratic equation has.▫ If b2-4ac is positive, then there are 2 real solutions.▫ If b2-4ac is negative, then there are no real solutions.▫ If b2-4ac is zero, then there is one real solution.

• Compute the value of the discriminant of

• How many real solutions does the equation have?

152 2 xx

152 2 xx

Solve

322 n 253 xx

yy 16322 2 322 tt

Graphing

Given the equation

a. Find the equation for the axis of symmetry.b. Determine whether the graph of the equation

opens upward or downward.c. Find the coordinates of the vertex of the graph

of the equation.d. Find the coordinates of the y-intercept.e. Find the coordinates of the x-intercepts of the

graph of the equation (if they exist).f. Graph the equation.

752 2 xxy

Same thing, different equation.Given the equation

a. Find the equation for the axis of symmetry.b. Determine whether the graph of the equation

opens upward or downward.c. Find the coordinates of the vertex of the graph

of the equation.d. Find the coordinates of the y-intercept.e. Find the coordinates of the x-intercepts of the

graph of the equation (if they exist).f. Graph the equation.

102 xy