Order of Operations
Where would parenthesis go to make this equation true?
8 - 3 + 2 = 3
8 - (3 + 2) = 3
Amarri runs 4.75 miles a day. He runs 5 days in a week. How many miles does he run in 8 weeks?
190 miles
Give and equivelent expression: (2x + 5)2
(2x+5)(2x+5)
What is the volume of a box with a length of 12 inches, a height of 8 inches, and a width of 5 inches?
12 x 8 x 5 = 480 cubic inches
How would you write an inequality to match this statement:
x is no more than three groups of 12
x ≤ 3(12)
Where would parenthesis go to make this equation true?
35 = 9 x 3 + 2 - 10
35 = 9 x (3 + 2) - 10
84 ÷ 0.5
168
6(z + 12) = 6z + 60
Is this equation true or false? Explain how you know.
False because 6 is distributed to the z and 12, which means 6(z +12) = 6z + 72
A box has a volume of 81 cubic inches. The height of the box is 3 inches and the width of the box is 3 inches. What is the length of the box?
9 inches
3 x 3 x 9 = 81
Give 5 possible values for x based on the inequality:
x ≤ 23 - 167
7, 6, 5, 4, 3, 2, 1, 0
Solve:
32 – [4 x (2 + 8)] ÷ 2
12
64.8 ÷ 12 =
5.4
The cost of a gallon of orange juice is $4.99. Dennis spent $29.94 on juice. How many gallons of juice did he buy?
4.99x = 29.94
x=6
The area of a triangle is 21cm². If the base of the triangle is 6 centimeters, what is the height?
7 cm
area of triangle = 1/2(base x height)
21 = 1/2 (6 x 7)
What is an inequality that matches the phrase:
x is more than or equal to 5 split into 2 groups
x ≥ 5 ÷ 2
Solve:
[(11 - 4)2 x 7] + 42
=114
A principal is buying candy apples for every student in your grade. There are 112 students in your grade. If candy apples are $1.25 each, how much will the principal spend?
$140
Create a word problem that would match x + 9 = 22.
Examples:
Todd has 9 baseball cards. Together, Todd and Sean have 22 baseball cards.
On Friday night I slept for 9 hours. On Friday night and Saturday night combined, I slept for 22 hours.
Ella and Sophie are sorting shapes into two categories. Ella says a square is also a rhombus. Sophie says it is also a rectangle. Who is correct? Explain.
Both are correct. A square is a rectangle because interior angles measure 90 degrees each and opposite sides that are parallel and equal. A square is also a rhombus because a rhombus is defined as a parallelogram with four equal sides.
What is an inequality that matches the phrase:
23 less than x is less than or equal to 125
x - 23 ≤ 125
Solve:
[58 + (10 - 8)] ÷ [32 + (28 - 17)]
3
60 ÷ 20 = 3
If a regular hexagon has side lengths measuring 44.1 centimeters, what is the perimeter of the hexagon?
44.1/6 = 7.35
x + x + y = 37
x + y = 25
What is the value of x and y?
x = 12
y= 13
A parallelogram has an area of 153 in. squared, and the height of the parallelogram is 9 in., what is the base of the parallelogram?
17 inches
4(y + 2) < 28
Which values out of 3, 4, 5, and 6 could be true for y?
3 and 4