vocabulary
counting numbers
natural numbers
(6 - 4) β’ 49 Γ· 7
14
the definition of absolute value
the distance between a number and zero
Kateβs mother taught her how to make handmade ornaments to sell at the Holiday Bizarre. Kate rented a table at the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50 for materials. She sells each ornament for $6.00.
a. If π₯π₯ represents the number of ornaments sold at the craft fair, which of the following expressions would represent Kateβs profit? (Select all choices that apply.)
β30 + 6π₯ β 2.50π₯
6π₯β30β2.50π₯
6π₯β30
4.50π₯ β 30
3.50π₯ β 30
1, 2, and 5
0.8x = -8
x = -10
the most popular number in a data set is the _____
mode
whole numbers and their opposites
integers
(43 - 1)/(4+2) + 10
17
|-4| - 3
1
The sale price of a shirt, x, is 40% off of the original price. The original price was $18. Write an equation to find x.
0.6x = 18
or
x - (0.4x) = 18
7(x - 0.75) = 4.90
x = 1.45
the definition of a whole number
natural numbers and zero
numbers that can be written as a fraction
rational numbers
-8 β’ 2/(3*2^3)
-2/3
|5 + 18.3| - |18.3 - 5.9|
10.9
Melina is 5 cm taller than her sister. The sum of their heights is 325 cm. Write an equation to find Melina's height, m.
2m - 5 = 325
-12.3 - x = 14.1
x = -26.4
5 and 1/5 are each other's _________
reciprocal
spending more money than one has will put them in _______
debt
[(16 - 6) - (14 Γ· 2)2] + 32
-30
What is the absolute value of negative eight deducted from three?
-5
Devon is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35 kg. Write an equation to determine the weight, w, of each of Carl's checked bags.
35 = 2w + 4
-4/x = 14
x = -2/7
A small electronic gaming system was marked down by 25% of the original price. If the sales price is $128.00, what was the original price?
$170.67
7 + 0 = 7 is proof of ___ __________ _________ ___ ______
the additive property of zero
(3/5 - 1/8 β’ 2^5) - |3 - 15|
-15.4 or
-15 2/5
true, false, or sometimes true?
the opposite of the absolute value of an integer can never be negative
false
Cookies are on sale! Today each cookie costs $0.75less than the normal price. Right now if you buy 7 of them it will only cost you $2.80!
Write an equation to determine the normal price of each cookie (c).
7(c - 0.75) = 2.80
1.9x = 7/20
x = 7/38
A plumber has a very long piece of pipe that is used to run city water parallel to a major roadway. The pipe is cut into two sections. One section of pipe is 12 ft. shorter than the other. If 3/4 of the length of the shorter pipe is 120 ft., how long is the longer piece of the pipe?
172 feet longer