Absolute Value
|-10|
10
Evaluate
-20 x 3 ÷ 10
-60 ÷ 10
-6
Evaluate y + 25 - 9 when y =-4
(-4) + 25 - 9
21 - 9
12
Heather's retirement fund lost $5,600 in one year, then gained $6,100 the following year. How much did the fund increase or decrease after two years?
-5,600 + 6,100
$500
Evaluate (ab) - a2b if a = -2 and b = -3
(-2 x -3) - ((-2)2 x (-3))
6 - (4 x -3)
6 - (-12)
18
| 7 + (-19)|
|-12|
12
Evaluate
102 ÷ (-5) - 4
100 ÷ (-5) - 4
-20 - 4
-24
Evaluate
7b + 3b2 when b = -2
-14 + 3(4)
-14 + 12
-2
A football team lost 3 yards on 3 consecutive plays, then gained 13 on the next play. How many yards did the team gain or lose?
Gold star if you can explain whether or not these plays result in a 1st down
3(-3) + 13
-9 + 13
4 yards
(-9 + (-4) + 10) xx (-8 -(-5) - (-6))
-9
-3|5 - (-13)|
-3|5+13|
-3(18)
-54
Evaluate
(9 - 12)2 + (-17)
(-3)2 + (-17)
9 + (-17)
-8
Evaluate
(2k + 15)/(3m)
when k = -6 and m = -1
(2(-6) + 15)/(3(-1)) = (-12 + 15)/(-3) = 3/(-3) = -1
A diver is currently 35 feet below sea level, then she descends 16 feet per minute for 4 minutes. What is her new depth?
-35 - 16(4)
-35 - 64
-99 or 99 feet below sea level
(5 + (-5) - (-5))/5 + (-5)(-5) + 5
31
Evaluate x + | x - y| if x = -3 and y = 5
-3 + |-3 - (5)|
-3 + |-8|
-3 + 8
5
Evaluate
-17 + (-42÷6) x (-4) - 52
-17 + (-7) x (-4) - 52
-17 + (-7) x (-4) - 25
-17 + 28 - 25
11 - 25
-14
Evaluate when x = 4, and y = -6
6y - (5x-23)^3
6(-6) - (5(4) - 23)3
-36 - (20 - 23)2
-36 - (-3)3
-36 - (-27)
-36 + 27
-9
Sales of Iced Caramel Macchiatos have decreased by 108,000 cups over the last 3 weeks. What is the decrease in sales per week?
-108,000 divided by 3
-36,000 cups per week
Evaluate (a - b + c - d) + a2 - b2 if a = -2, b = -3, c=4
and d = -5
5
Evaluate -4|ab - b| if a = 4 and b = -2
-4 |(4)(-2) - (-2)|
-4 | -8 + 2|
-4 | -6 |
-4(6)
-24
Evaluate
(-20 + 8 -: (-2))/ ((-2)^3)
(-24) / (-8) = 3
Evaluate when a = -8 and b = 6
(ab)/2 - a + b^2
(-8x6)/2 - (-8) + 62
-48/2 + 8 + 36
-24 + 8 + 36
-16 + 36
20
Over the course of five weeks, Melody places gold star wagers on games of Rock, Paper, Scissors. So far, she has lost 20 times, and won only 3 times. If Melody loses 3 gold stars every time she loses a game, but wins 5 gold stars every time she wins a game, what is Melody's average gold star count per week?
[(20)(-3) + (3)(5)]/5
(-60 + 15)/5
(-45/5)
-9 gold stars per week
The Domain of a relation is D:{4, 5, 6}, and the range of the same relation is R: {0, 1, 2, 3}. Is this a function? Explain why or why not.
No. Because if there's 4 elements in the range, there must be 4 elements in the domain. This means either 4, 5, or 6 repeat, which means the relation is not a function.