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System of Equations
Application
Word Problem
Radicals
100

Determine whether the given ordered pair is a solution of the system of equations. Remember to use alphabetical order of variables.

(2,1); 4b-2a=0

b+8a=4

No

100

A sociology instructor gives students points for each discussion-board post and points for each reply to a post. Ana wrote 2 posts and 6 replies and received 74 points. Jae wrote 5 posts and 2 replies and received 107 points. Determine how many points a discussion post is worth and how many points a reply is worth.

Discussion post is worth 19

Reply is worth 6

100

A parking lot has attendants to park cars, and it uses spaces where cars are left before they are taken to permanent parking stalls. The number N of such spaces needed is approximated by the formula N=2.5(sqr)A, Where A is the average number of arrivals in peak hours. Find the number of spaces needed when the average number of arrivals is a) 81 and b)83.

If A=81, then N=23

If A=83, then N=23

100

Determine whether each expression is meaningful as a real number.

(sqr)-16

No

200

Solve using the elimination method.

x+y=12

-x+5y=36

(4,8)

200

A parking meter contains nickles and dimes worth $5.00. There are 64 coins in all. Find how many of each there are.

28 nickles

36 dimes

200

Find the length of the third side of the right triangle.

24

200

Simplify by factoring. Assume that all expressions under radicals represent non negative numbers.

(sqr)49a

7(sqr)a

300

Solve the following system of equations using the substitution method. First, solve one equation for one variable.

x+8y=37

3x+5y=16

(-3,5)

300

A student has a number of $50 and $100 savings bonds to use for part of her college expenses. The total value of the bonds is $1150. There are 5 more $50 bonds than $100 bonds. How many of each type of bond does she have?

She has 11 $50 bonds and 6 $100 bonds

300

Find the length of a diagonal of a square whose sides are 7 cm long. give an exact answer and an approximation.

The exact length of the diagonal is 7(sqr)2 cm.

The Approximate length of the diagonal is 9.899 cm.

300

Solve.

(sqr)[x+1]=19

360

400

Solve by the substitution method.

y-6x=51

7y+x=56

(-7,9)

400

Solve

x-9=(sqr)x-3

12