Writing Equations
Distributive Property
Factoring
Greatest Common Factor
Combining Like Terms
100
Gally has 27 gallons of paint. There are 3 more gallons of red paint than blue paint and 5 more gallons of white paint than red paint. Write an equation to represent this situation.
3b + 11 = 27
100
Simplify using the distributive property. 6(4h - 3)
24h - 18
100
Factor the following expression. 5c + 15
5(c + 3)
100
What is the Greatest Common Factor of 10 and 15?
5
100
Combine Like Terms. 7x - x + 4b - 3b + 2b - 4 - 2x
3b + 4x - 4 OR 4x + 3b - 4
200
Sarah, John and Marina read 31 books. Sarah read two times as many books as John, Marina read 3 more than John. Create an equation, THEN find how many books each person read.
30= 4j + 3 Sarah: 14 John: 7 Marina: 10
200
Simplify using the distributive property. 9(h^2 + h + 13) Hint: h^2 mean h squared or h to the second power.
9h^2 + 9h + 117
200
Factor the following. 12x + 42
6(2x + 7)
200
What is the Greatest Common Factor of 16 and 58?
2
200
Simplify. 5x^2 + 3x + 3 - 3x^2 + 5x + 5 Hint: x^2 is x squared
2x^2 + 8x + 8
300
Siraj and his dad and his mom went fishing, and caught 49 fish. Siraj's dad caught 2 times more fish than Siraj. His mom caught 3 less than Siraj. Write an equation and find out how much everybody caught.
49 = 4s - 3 Siraj caught 13, his dad caught 26 and his mom caught 10.
300
Simplify. 6x(3 + 8x + 3 + 2 + 5)
48x^2 + 78x
300
Factor the following expression. 6x^2 + 24x + 18 Hint: 6 times x squared
6(x^2 + 4x + 3)
300
Find the greatest common factor of 45, 9 and 27.
9
300
Combine like terms. (3x^2 + 20x - 4) + (x^2 - 2x - 9)
4x^2 + 18x - 13
400
Brock Lesner has twice as many fights as Balboa. Cena has three less than triple Balboa. How many fights does each wrestler have if they will fight a total of 39 fights.
39 = 6b - 3 ; Balboa = 7 Brock = 14 Cena = 18
400
Use distributive property to simplify the equation. -(4x + 3 - 4) + 4(3x + 4 + 3)
7x + 29
400
Factor. 48s - 60
12(4s - 5)
400
What is the Greatest Common Factor of 30x and 12xy?
6x
400
On his desk, Cadence has 5 thin rectangular algebra tiles, six small squares, and 2 large square tiles. His friend, Mayhew, has 8 large squares, one small square and one rectangle. Write a simplified, algebraic expression for what they have together.
10x^2 + 6x + 7
500
Santa brought 40 carrots for his reindeer. Dancer got 3 less than 2 times the amount Dasher got. Prancer got 1 more than Dasher and the rest of the reindeer had to share the last 10 carrots. Write an equation and find out how many carrots each reindeer got from Santa.
4d + 7 = 40; Dancer: 13, Dasher: 8, Prancer: 9, The Rest: 10 (technically that's like 1.6 each)
500
Simplify using the distributive property (FOIL). (x + 4)(3x - 2)
3x^2 + 10x - 8
500
Factor the expression. 36x^2 - 96xy
12x(3x - 8y)
500
What is the Greatest Common Factor of 14x^2 and 8x?
2x
500
Rachel has 2 large algebra squares, 7 thin rectangles and 3 small squares on her desk. Mr. Kosty came and took one large rectangle away, gave her 3 small squares, then took away 4 rectangular tiles. Write an algebraic EQUATION to represent what happened.
(2x^2 + 7x + 3) + (-x^2 - 4x + 3) = x^2 +3x + 6
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