system of equations
Adding and Subtracting with Scientific Notation
multi step equations
Equations with variables on both sides
100

X +2y=14

x-y=2

x=6

y=4

100

(3.2 x 104) +(1.5 x 104)

4.7 x 104

100

(3x + 5 = 20)

=5

100

5x + 12 = 3x + 20

x=4

200

A burger and fries cost $9. Two burgers and fries $14. Find the cost of each item 

Burger=$5 Fries=$4

200

(9.2 x 106) - (4.7 x 106)

4.5 x 106

200

9x - 4x + 7 = 32

x=5

200

Plumber Tim charges $60upfront plus $45 per hour. Plumber Sam charges $80 upfront plus $40 per hour. For how many hours h of work will they charge the same amount?

h = 4 hours 

300

2x +y =11

x+y=7

x=4

y=3

300

A stadium holds 4.2 x 104 people and 1.8 x 104  more arrive. How many people are there now 

6.0 x 104

300

Sarah has $50 and saves $15 each week. How many weeks w will it take her to reach $200?

w=10 weeks

300

Tree A is 12 inches tall and grows 4 inches per year. Tree B is 18 inches tall and grows 2 inches per year. In how many years y will they be the same height?

y=3 years 

400

2x + 3y=18

x+y=7

x=3

y=4

400

A phone company had 8.7 x 107 users and lost 2.5 x 107 how many users remain

6.2 x 10 7

400

Tickets to a movie cost $9 each plus a one-time $4 processing fee. If total spending is $49, how many tickets t were bought?

t = 5 tickets

400

9n - 15 = 5n + 17

n = 8

500

A concert sold regular tickets for $12 and VIP tickets for $20. They sold 25 tickets and made $380. How many of each ticket were sold 

15 reg

10 vip

500

1.3 x 10+ 2.4 x 109

3.7 x 109

500

5(x + 2) - 3 = 22

x=3

500

8w + 3 = 10w - 7

w = 5

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