6th Grade Math
Write nineteen and eighty-two thousandths as a decimal.
19.082
Mr. Davis bought 50 pounds of pizza dough and used it to make pizza for 6 days. How much pizza dough did he use each day if he used the same amount each day?
8.3 (3 repeats) or 8 1/3 pounds of dough
The PLACE VALUE of the 3 in 125,487.0635
place value is thousandths
Simplify:
5x + (3 + 3x)
8x + 3
Find the sum of 5.234 and 25.9.
31.134
Write as an expression.
15 less than the product of 3 and f
3f - 15
A rectangular garden has the following dimensions:
length= 2.5 ft width= 3.25 ft
What is the total area of the garden?
8.125 square feet
Store A has 4 bags of Takis on sale for $16.24. How much does 1 bag cost?
$4.06
Solve.
3.67 x 1.9
6.973
Solve:
5.67+234
239.67
Jamie has $4. If each slice of pizza at the Pizza Shack costs 1.25 and Jamie buys two slices, how much money will she have left?
$1.50
Simplify.
12 + (35 + 2x)
47 + 2x
Order from least to greatest: 5.01, 5.1, 5.001, 5
5, 5.001, 5.01, 5.1
Solve.
.006/.25
.024
Solve:
5^2 + 3.5*.12
25.42
What is the value of 312 ÷ .2?
1560
Factor the expression:
32x + 48x + 64
16(2x + 3x + 4)
The train needs 15 workers to run. Each train car, c, can fit 40 people. Write an expression for the number of people that can fit on the train.
15 + 40c
What is the prime factorization of 54? (Be sure to write it in final form.)
2 x 33
Saul has 48 toy cars, 60 stuffed animals, and 108 toy figures. He wants to split the toys up and make identical toy bins with some of each type of toy. What is the largest number of bins he can make? How many of each type of toy will be in each bin?
12 bins
4 toy cars
5 stuffed animals
9 toy figures
Solve. Show all steps.
(14-2)^2/(3*4^2)
3
A business has 32.76 cups of soil. Each pot needs 1.2 cups of soil. How many full pots can the business make?
27 pots (.3 cups doesn't make a full pot)
Identify the terms, variable(s), coefficient(s), and constant(s).
3b - c + 20
terms: 3b, - c, 20
variables: b, c
coefficients: 3, -1
constant: 20
List the first 13 square numbers.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169
Simplify this expression: 4(2x + 5) + 3(4x) - 7
20x + 13
A rectangle has a length of 5x + 6 meters and a width of 9 meters.
a.) Write and simplify an expression to find the area of the rectangle.
b.) Write and simplify an expression to find the perimeter of the rectangle.
Area: 9(5x + 6)
45x + 54 sq. meters
Perimeter: 2(5x + 6) + 2(9)
10x + 30 meters
15(x + 6) + 7(5 - 2x) - 12
15x + 90 + 35 - 14x - 12
x + 113
You need 35 inches of ribbon to decorate the doorway of your garden shop and 20 inches of ribbon for each wreath, w.
a.) Make a table to show how much ribbon you need for 5, 10, and 15 wreaths.
b.) Write an equation to find the t, total, for w, wreaths.
w 35 + 20w t
5 35 + 20(5) 135
10 35 + 20(10) 235
15 35 + 20(15) 335
b.) 35 + 20w = t
The expression 30c + 45d represents the cost of daily pet care for c cats and d dogs.
a.) How much does it cost for daily care for 8 cats and 3 dogs?
b.) How much does it cost for pet care for the work week?
a.) 30(8) + 45(3)
240 + 135
$375
b.) 375 x 5 = $1875
Find the greatest perfect square that is a factor of 1620.
324