Simplify and Distribute
Simplify
m + 9 + 6m
7m + 9
Write as an expression:
“the sum of a number and 5”
n + 5
Solve for x.
-8x+19=-37
x = 7
Riley and her friends went to the Color Splat paint-tag course last weekend. The course charges $40 for an hour of tag plus a rental fee of $6 for each paint marker. If Riley’s friends played for one hour and paid a total of $94, how many paint markers did they rent?
40 + 6x = 94
5a + 15
5(a + 3)
Distribute & Simplify –4(–3x + 4) – 8x
4x - 16
Write an expression:
“Five less than the product of a number and six”
6n - 5
Solve for x.
7(–2x + 1) = – 140
x = 10.5
Mr. Mosley ordered pizzas for the volunteers at Highland School’s fundraiser event. He ordered 12 large pizzas. Since this was a bulk order, the restaurant reduced the price of each large pizza by $2. The total came to $192. Write an equation to determine how much the regular cost of a pizza would be.
12 (x - 2) = 192
9x - 3
3(3x - 1)
Distribute
–5(5x – 7)
-25x + 35
Write as an expression:
"the product of 3 and a number decreased by 4"
3n - 4
Solve for x.
1.3(x-5.4)=13
x = 15.4
Darience’s score in a game is x points and Tyler’ score is three times that of Darience. Their combined point total is -48 points.
x + 3x = -48
2m - 10
2(m - 5)
Simplify the expression
7 – 3b – 2(b + 3 – 2b)
1 - b
"the sum of twice a number and 7"
2n + 7
Solve for x:
5+ (x/2) =-11
x = -32
Members of a soccer team raised $1818.50 to go to a tournament. They rented a bus for $960.50 and budgeted $35.75 per player for meals. Write and solve an equation which can be used to determine p, the number of players the team can bring to the tournament.
960.50 + 35.75p = 1818.50
6x + 15
3(2x + 5)
Distribute
-5 (-5x - 2)
25x + 10
Write as an expression:
"9 more than the quotient of a number and 2"
(n/2) + 9
Solve for x:
(8-4x)/3 = -12
x = 11
Aliana went to the sandwich shop for lunch. She had a sandwich and a cookie sundae. Her total bill was $9.82. The cookie sundae cost $2.56.
x + 2.56 = 9.82
-4m + 20
-4(m - 5)