Combining Like Terms
2x + 2 + 4x
6x + 2
What must you find first when factoring an expression?
the Greatest Common Factor
(-5x – 7) + (x – 2)
-4x -9
Evaluate if x = -8 and y = 4:
5.4x - 3.2y
56
3(x - 2)
3x - 6
9b+1/2a-4+6b-3/4a
15b-1/4b-4
72-18x
18(4-x)
(3x + 1 – 8y) – (–x – 3y + 2)
4x-5y-1
Evaluate if n = 2 and p = 4:
n(p-2) +1/2p
6
5-9(3x-2)
-27x+ 23
-9x +2x + 2 - 3.5 - x
-8x - 1.5
24 + 32x - 16y
8(3+4x-2y)
Nina has x coins. Clayton has 5 fewer coins than six times the number of coins Nina has. Write an expression for the total number of coins Nina and Clayton have altogether. Then simplify the expression.
7x - 5
Luca sells muffins and juice boxes at the school snack bar. Muffins are $1.75 each and juice boxes are $1.25. each Write an algebraic expression for the total Luca received from the sale of m muffins and j juice boxes. If she sold 30 muffins and 40 juice boxes, how much money would she make?
1.75m + 1.25j
1.75(30) + 1.25(40)= $102.50
8(1+8n) - 7(n+3)
57n-13
6b -5a + 9 -8b + 6a -6
-2b + a + 3
Factor out a negative:
(-15g + 45y - 35)
-5(3g - 15y + 7)
The length of the bottom of a triangle is x. Another side is 2 more than three times the length of the bottom of the triangle. The last side is 2 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
5x + 4
A freight train traveling at a rate of 22.5 miles per hour is 60 miles from its destination. Write an expression that represents how far the train will be from the destination in h hours.
60-22.5h
5.5a +5(3a-0.5b + 0.8) -0.5a -7.5b
20a-10b+4
6a - 2(x - 4) -1/5x + c - 4a
2a - 2 1/5x+8+c
The area of a rectangle is 4x + 36 + 8y square feet. If the width of the rectangle is 4 feet, what is the length of the rectangle?
x + 9 + 2
Jackson buys a box of tomatoes for $7.65 and 5 pounds of beans. Tim buys a cauliflower for $2.45 and 4 pounds of beans. Use the variable p to represent the price, in dollars, per pound of beans. Write and simplify an expression to represent how much more Jackson spent.
p + 5.2
Ben and his two friends make m dollars cleaning a school. Ben spends $23.50 on his lunch. Write an expression representing how much money Ben left after lunch.
1/3m-23.50
or m/3 -23.50
1/2(-8-6y)-8-1/2(16-36y) +3y
-20+18y