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Honors PreCalculus Quiz: Solving Short Answer Problems and Systems of Equations, Exercises of Calculus

A honors precalculus quiz with short answer problems and systems of equations. Students are required to show all work and solve problems involving calculator usage, algebraic equations, and systems of nonlinear equations. The quiz covers topics such as calculator usage, algebraic equations, and systems of equations.

Typology: Exercises

2012/2013

Uploaded on 02/06/2013

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Name__________________________________
_
10.1-10.7 Honors PreCalculus Quiz - CALCULATOR PART
SHORT ANSWER. SHOW ALL WORK!!!!!!
Solve the problem.
1
)
The Famil
y
Arts Center charges $25 for adults, $12 for senior citizens, and $9 for children under 12 for their live
performances on Sunday afternoon. This past Sunday, the paid revenue was $12,904 for 861 tickets sold. There
were 46 more children than adults. How many children attended?
Solve the system of equations and then evaluate the given expression
.
2
)
2x - 3
y
+ z = 6
5x - 4y - 3z = -1
-4x + 2y + 5z = 7
Evaluate x + 2y - 3z.
Find the value of the determinant.
3
)
-2 5 4
3 -2 1
1 6 -3
Perform the indicated operations and simplify
.
4
)
Let A = 3 -4
-2 5 , B = 5 -2 8
1 0 -3 , and C =
7 -9 0
3 -5 1
-1 6 2
. Find AB + BC.
1
pf2

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Name___________________________________ 10.1-10.7 Honors PreCalculus Quiz - CALCULATOR PART

SHORT ANSWER. SHOW ALL WORK!!!!!!

Solve the problem.

  1. The Family Arts Center charges $25 for adults, $12 for senior citizens, and $9 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $12,904 for 861 tickets sold. There were 46 more children than adults. How many children attended?

Solve the system of equations and then evaluate the given expression.

2x - 3y + z = 6 5x - 4y - 3z = - -4x + 2y + 5z = 7

Evaluate x + 2y - 3z.

Find the value of the determinant.

Perform the indicated operations and simplify.

  1. Let A = 3 - -2 5

, B = 5 -2^8

, and C =

. Find AB + BC.

Solve using substitution.

x2 + y2 = 169 x + y = 17

Solve the system of nonlinear equations using substitution.

  1. y = 6x2 - 5x y = 2x + 3

Solve using elimination.

2x2 + y2 = 17 3x2 - 2y2 = -