Combining Like Terms
Simplify: 3y + 2y + 5y
What is 10y?
Simplify: 6(3x + 4)
What is 18x + 24?
Create an equation for this situation: Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. Let c represent how many more cups of sugar she need to put in.
What is 2 + c = 7?
Use/list inverse operation used and solve for x.
x + 7 = 12
What is x=5; inverse operation: subtract 7
This is the formula to find the perimeter of a triangle.
What is P = a + b + c?
Simplify: 4y + 9 – 2y - 3
What is 2y + 6?
Simplify: -4(w + 8)
What is -4w - 32?
Create an expression for the following: Last week Julia ran 30 miles more than Pranav. Julia ran 47 miles. Let P represent how many miles Pranav ran.
What is 30 + P = 47?
Use/list inverse operation used and solve for g.
g - 25 = -48
What is g = -23; inverse operation: add 25
Convert 460 miles to km.
Note: 1 mi = 1.609 km
Simplify: -8m + 14 - 3m - 9 + 4k
What is 4k -11m + 5?
A rectangle has a length of 8 and a width of x + 4. Find the area.
What is 8(x + 4) = 8x + 32?
Create an expression for the following: Jenny wants to buy an MP3 player that costs $30.98. Let c represent the change Jenny receives when paying with $40.
What is 40 - 30.98 = c
OR
30.98 + c = 40
Use/list inverse operation used and solve for x.
8 = x - 8
What is x = 16; inverse operation: add 8
This is the area of a rectangle with side lengths 14 m and 9 m.
What is 126 m2?
(2/4)f + 6 - (3/4)f - 7
**THINK FRACTIONS**
What is (-1/4)f - 1?
Describe the error that Samuel made: 6(y + 8) = 6y + 8
What is he didn't distribute the 6 to the 8. It should be (6*y) + (6*8) = 6y + 48?
Create an expression for the following: After paying $6.58 for a salad, Julio has $27.78. Let s represent how much money he started with.
What is s - 6.58 = 27.78?
Use/list inverse operation used and solve for c.
c – 4.5 =13.2
What is c = 17.7; inverse operation: add 4.5
(2 + 3) + 4 = 2 + (3 + 4)
What is the associative property?
-3(2p – 5p + 7 + 4p)
**Use the DISTRIBUTIVE PROPERTY**
**COMBINE LIKE TERMS**
What is -3p - 21?
Write an equivalent expression for this: 3b + 9 **Should look like the distributive property:** __(__+__) = 3b + 9
What is 3(b + 3)?
Create an expression for the following: Last Friday James had $35.37. Over the weekend he received some money for weeding the garden. He now has $52.25. Let w represent the money he received for weeding.
What is 35.37 + w = 52.25?
Use/list inverse operation used and solve for d.
2/3 + d = 1/3 **THINK FRACTIONS**
What is d = -1/3; inverse operation: subtract 2/3
Solve the equation for w:
177 = 403 + w
What is w = -226?