Combine Like Terms
Simplify:
3x2 + 2x - 5 - x2 - 2x - 3
What is 2x2 -8 ?
Distribute the following:
5(x + 2)
What is 5x + 10?
Solve the equation:
4x = 16
What is x = 4?
Solve the equation:
2 x - 8 = 10
What is x = 9 ?
WRITE AN EQUATION & SOLVE: Yahzier is 3 years older than his neighbor. Yahzier's age is 14 years old. How old is his neighbor?
What is 8 years old?
Equation: x + 3 = 14
Solve the equation:
4(2a + 3) = -3(a - 1) + 31
What is a = 2?
Simplify:
10 - 4x - 3x + 3x2 + 2x - 3 - 5x2
What is -2x2 - 5x +7 ?
Simplify:
4(g - 1)
What is 4g - 4 ?
Solve the equation:
-9x = -81
What is x = 9?
Solve the equation:
16 - 7m = 30
What is m = -2 ?
Iziana bought 7 pairs of earrings for a total of $90.93. Each pair of earrings cost the same amount. How much was each pair?
What is $12.99?
Solve the equation:
-20y + 15 = 2 - 16y + 11
What is y = 0.5 or y = 1/2?
Simplify:
4y - 6 + y2 - y - 4y2 + 4y + (-6)
What is -3y2 + 7y - 12 ?
Solve for x :
-3 ( -2 -x)
What is 6 + 3x OR 3x + 6 ?
Solve the equation:
x - 14 = -6
What is x = 8?
Solve the equation:
3 - 9x = -6 - 8x
What is x = 9 ?
WRITE AN EQUATION TO MODEL THE PROBLEM. THEN SOLVE.
Maha has 4 bags of candy. Each bag has the same number of candies. After Maha eats 3 pieces of candy, there are 109 pieces of candy left in the bags. How many candies were in each bag?
What is 28 apples in each box?
Solve the equation:
-3x - 4(4x - 8) = 3(-8x - 1)
What is x = -7 ?
Jaylen simplified the following expression:
2x - 4y + 5 - y + 3 + 3x
His simplified expression was: 8
What was his mistake?
What is he combined terms that were not alike ?
OR
What is he cancelled -5y with 5x ?
Distribute the following:
-(x + -2 + -y)
What is -x + 2 + y ?
Solve the equation:
x/2 = 7
What is x = 14?
Nelly solves the equation:
4(a + 1) = 2
Her solution was: a = 1/2 (or 0.5)
(What was her mistake?)
What is she added 4 to both sides rather than subtracting 4 ?
Container A and container B have leaks. Container A has 800 ml of water and leaks 6 ml per minute. Container B has 1000 ml and leaks 10 ml per minute. How many minutes will it take the two containers to have the same amount of water?
HINT: Like the "bank account" problem we did.
What is 50 minutes?
Solve the equation:
13x - 9x + 20 = 30 + 2
What is x = 3 ?
Simplify:
2x3 - x2 - x + 3
What is 2x3 - x2 - x + 3
Distribute and combine the following:
10(w+10) + 4(w+1)
What is 14w + 104?
Solve the equation:
x + 2 = -10
What is x = -12?
Solve the equation:
(x/5) + 7 = -3
What is x = -50?
The PERIMETER of a regular pentagon and square are the same. Each length of the pentagon is 2x + 2 and each length of the square is 13 - x . What is the perimeter of each shape?
HINT: A regular pentagon has 5 equal sides.
What is 40 units for each perimeter?
Solve the equation:
2(x - 5) = 5x + 23
What is x = -11?