Absolute Value
Solve:
|x| = 13
What is x = -13, x = 13 ?
Solve the literal equation for y:
20x + 5y = 15
What is y = 3 - 4x
OR
What is y = -4x + 3
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?
Solve:
|x-7| = 14
What is x = -7, x = 21 ?
Solve the literal equation for y:
16x + 9 = 9y - 2x
What is y = 2x + 1 ?
OR
What is y = 1 + 2x ?
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?
Solve:
10 = |4x + 2| - 8
What is x = -5, x = 4 ?
Solve the literal equation for x:
a = bx + cx + d
What is x = (a - d)/(b + c)
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 ?
Solve:
|10a - 5| = 5a
What is a = 1/3, a = 1 ?
Solve the literal equation for x.
x - 9 + 2wx = y
What is x = (y + 9)/(1 + 2w) ?
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 ?
Solve:
2|2x + 6| = |2x - 7|
What is x = -19/2, x = -5/6
OR
What is x = -9.5, x = -5/6
Solve for v
a = (v - x)/t
What is v = at + x ?
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?