Evaluate Expressions
Evaluate the following expression if a = 4, b = 12, and c = 6:
3a - 2bc + 4c
-108
Solve given the domain of x is {0, 1, 2, 3}:
4x + 2 = 10
x = 2
Four times a number plus three
4x + 3
Write an equation to represent the following sentence:
4 less than a number is 11
x - 4 = 11
Mandy ran 8 more miles than Aaron. Mandy also ran twice as far as Aaron. How far did each run?
M = 16 miles
A = 8 miles
Evaluate the following expression if a = 4, b = 12, and c = 6:
24 ÷ b(a + c)
20
Solve given the domain of x is {0, 1, 2, 3}:
3x - 3 + x = 8
No Solution
Eighteen less than double a number
2x - 18
Write an equation to represent the following sentence:
18 is 16 more than twice a number
18 = 16 + 2x
A rectangle has an area of 120 ft2. If it has a length of 24 ft, what is the width of the rectangle?
5 ft
Evaluate the following expression if a = 4, b = 12, and c = 6:
24a ÷ c + bc(a + c)
736
Solve given the domain of x is {0, 1, 2, 3}:
1/2 x - x = 0
x = 0
The product of eleven and the sum of three and a number
11(3 + x)
Write an equation to represent the following sentence:
The product of eight and the sum of five and twice a number is sixteen
8(5 + 2x) = 16
- |-15| ÷ |5|
-3
Evaluate the following expression if a = 4, b = 12, and c = 6:
[a + (24 - b ÷ a)] ÷ (b ÷ c + 3)
5
Solve given the domain of x is {0, 1, 2, 3}:
5x - 2x + 3x = 18
x = 3
The quotient of ninety-two and the sum of twice a number and six
92 ÷ (2x + 6)
The quotient of eighty-two and the difference of three times a number and thirty-one is fifty-six.
82 ÷ (3x - 31) = 56
|-12 + 8| - 2|-14 - 6|
-36
Evaluate the following expression if a = 4, b = 12, and c = 6:
[c • (b ÷ a + 3)] ÷ [32 ÷ 4(c - a) + 2]
2
Solve given the domain of x is {0, 1, 2, 3}:
14x - 5 + 3x - 7x = 25
x = 3
The quotient of the sum of three times a number and fourteen and half of the same number
(3x + 14) ÷ 1/2 x
A rectangle has a length of 5 meters and a width of x meters. Write and solve an equation to find the width of the rectangle if its perimeter is 40 meters.
P = 2l + 2w
40 = 10 + 2x
x = 15 meters
A bus traveled 612 km farther than the car traveled. The car traveled a quarter of the distance that the bus traveled. How far did each travel?
bus = 816 km
car = 204 km