SAT Applications
Systems Galore
Systems Word Phrases
100

The answer for how many children were included in this excursion: 21 people went whale watching with adults paying $80/person and the fee per child at $60.

The trip cost a total of $1,440.


There were 12 children on this trip.

100

The system for the following: 

There 24 coins completely of nickels and dimes which totals $1.90.

n + d = 24

.05 + .10 d = 1.90

100

The difference between "5 times as many" and "5 more than"

"5 times as many" means you are multiplying 5 by the variable

"5 more than" means you are adding 5 to the variable

200

The system for how many children were included in this excursion: 21 people went whale watching with adults paying $80/person and the fee per child at $60.

The trip cost a total of $1,440.

80a + 60c = 1440 and a + c = 21

200

The system for the following:

There are 99 wedding guests staying in a hotel and 25 rooms have been reserved.  The small rooms can house 3 people each; the large rooms can accommodate 5 people each. 

s + l = 25

3s + 5l = 99

200

What expressions represent this?

Charlie Brown wanted to kick that football for the nth time and Lucy just wasn't having it!  However, Charlie, when kicking field goals in his team's second game, made 2 more than the first game.  The next game he hopes to make 2 times the number scored in the first game.

Game 2: 2 + f

(Hopefully) Game 3: 2f

300

The answer for how many ADULTS were included in this excursion: 21 people went whale watching with adults paying $80/person and the fee per child at $60.

The trip cost a total of $1,440.

There were 9 adults on this trip.

300

The system for the following:

Last week, a student worked 14 hours at 2 different jobs. He makes $10/hr. washing cars & $12/hr. landscaping and earned a total of $152 for the week.

w + l = 14

10w + 12l = 152

300

The system for the following:

Jake spent $140 on 5 shirts from Lake's and 4 shirts from Tools of the Game.  Liz spent $63 at the same 2 stores; however, she only bought 3 shirts from Lake's and 1 from Tools of the Game.

140 = 5L + 4T

63 = 3L + 1T

400

The answer to this question: 202 people went on a camping trip which required 60 tents.  There were two types of tents:  2-person tents and 4-person tents. Name the number of 2-person tents utilized.

There were 19 2-person tents.

400

The system for the following:

Last week, a student worked 3 times as many hours babysitting as landscaping. She makes $11/hr. babysitting & $10/hr. landscaping and earned a total of $86 for the week.

b=3L

11b + 10L = 86

400

Solve for the rate charged at Lake's using substitution:

140 = 5L + 4T

63 = 3L + 1T

Lake's charged $16/shirt.

500

The system to this question: 202 people went on a camping trip which required 60 tents.  There were two types of tents:  2-person tents and 4-person tents. Name the number of 2-person tents utilized.

x= number of 2-person tents; 

y= number of 4-person tents.                                 

202 = 2x + 4y and 60 = x + y

500

The system for the following:     

A restaurant sells a 1500-calorie meal consisting of mozzarella sticks and sliders.  Mozzarella sticks are 100 calories each; sliders are 200 calories each.  This meals contains nine more mozzarella sticks than sliders.

m = 9 + s

100 m + 200s = 1500

500

Kayleigh scored all 35 of her points last week shooting 3-pointers and free throws.  She made 13 baskets in all.  How many free throws did she make?

Two!

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