Systems of Equations
What is....
4x + 6y = 36 and 2x - 6y = 0
x = 6 and y =2
What is the greatest common factor of 12x and 18x?
What is 6x?
What is...
x − 5 = 9?
x = 14
What is...
3x+5 where x=2
11
Which expression is equivalent to:
3(x + 4) – 2x
A) x + 4 B) x + 12 C) x + 8 D) 3x + 12
C) x + 8
What is...
x - 3y = 7 and 2x + 3y = 17 ?
x=4 and y=3
What is the greatest common factor of the expression: 15x + 25?
What is 5?
What is...
2x + 3 = 11
x=4
What is...
7x+8y where x=3 and y=4
53
Which expression is equivalent to:
2(3x – 5) + 4x
A) 10x – 10 B) 6x – 5 C) 10x – 5 D) 6x – 10
A) 10x – 10
What is...
2x + 3y = 17
3x + 4y = 23
(solve for x and y)
x=1 and y=5
Simplify the expression using the greatest common factor:
20x + 30
What is 10(x + 3)?
What is...
3(x+2) = 15
x=3
What is...
2(3x+5)+2y where x=5 and y=7
54
A movie theater sells adult tickets for $12 and child tickets for $8. One night, they sold 50 tickets for a total of $520.
Let x be the number of adult tickets and y the number of child tickets.
What system of equations models this situation?
x + y = 50
12x + 8y = 520
What is...
y−2x=1
3x+y=11
x=2 and y=5
Simplify the expression using the greatest common factor (GCF is positive):
-16x + 12
What is 4(–4x + 3)?
What is...
2(x+4) + 3x = 21
x=13/5
What is...
6(3y+2x) + 2x where x=2 and y=2
64
A school sold 40 fundraiser shirts. Short-sleeve shirts cost $10, and long-sleeve shirts cost $15. They made $500 in total.
How many of each type were sold?
Let x = short-sleeve shirts, y = long-sleeve shirts
x + y = 40
10x + 15y = 500
x = 20, y = 20
20 short-sleeve and 20 long-sleeve shirts
Word Problem: At BT snack time, TAs charge $2 per fruit snack and $3 per bag of chips. One day, a group of students bought a total of 15 snacks and spent exactly $36. How many fruit snacks and how many bags of chips did they buy?
fruitsnacks=9 and chips=6
Simplify the expression using the greatest common factor:
18x²y³ + 24x³y²
What is 6x²y²(3y + 4x)?
What is...
2(x+4) + 3 = 3(x−2) + 1
x=16
What is...
5x+3(2y+1)+2y-2 where x=3 and y=4
A school is buying notebooks and pencils for students. Notebooks cost $2 each and pencils cost $0.50 each. If they buy 100 total items and spend $110, how many of each did they buy?
Let x = notebooks, y = pencils
x + y = 100
2x + 0.5y = 110
x = 60, y = 40
Answer: 60 notebooks and 40 pencils