Unit 1 : Easy
What is the additive inverse of 6
-6
Identify the property:
1 * 64 = 64
Identity property of multiplication
5x-(x+3)= 7 +2(x+2)
x = 7
(x+4)/6 =(x-3)/2
x = 6.5
abs(2x+7) =23
{-15, 8}
Rational or irrational:
0.53
Rational
35 - 52 + 26
244
x/2 -(5x)/6 = 1/9
-1/3
4 out of 5 dentists believe that Crest is a better toothpaste than the others. If they surveyed 250 dentists, how many dentists did not like Crest
50
abs(x-4) =12
{-8,16}
Rational or Irrational:
sqrt(52)
Irrational
3 less than the product of x and y
xy-3
Five less than 6 times a number is 15 more than the number. Find the number.
6x-5 = x+ 15
x=4
Solve for h in terms of V, l, and w.
V = lwh
h = V/(lw)
3(x+2)+11 >= 20
x>=1
Identify the property:
6(3+4) = (6*3) + (6*4)
Distributive Property
Suzie has 5 times the amount of sweaters than Rosie. Write an expression for the number of sweaters Suzie has if Rosie has r number of sweaters.
5r
Find 3 consecutive integers such that 3 times the largest decreased by the first is 12 less than the second.
1st = 11
2nd = 12
3rd = 13
Solve for x:
c = a(x+b)
x = (c-ab)/a
-5(x-4) + 3x < -16
x > 18
Identify the property:
6 + (10 +8) = (6 + 10) + 8
Commutative property of addition
If m = -2, then what does -3m3 equal?
24
Joann has 16.45 in pennies, nickels and dimes. If she has three times as many dimes as pennies and one more than twice the amount of nickels as pennies, how many of each coin does she have?
Pennies = 40
Nickels = 81
Dimes = 120
Solve for c in terms of m and E:
E = mc^2
c = sqrt(E/m)
Jack subscribes to Spotify. The service costs $2.95 but his rate is reduced by 15 cents for each new subscriber he signs up. If there is no limit to the discount, how many users must jack recruit in order for him to stream music for free?
2.95 - .15x <= 0
x >=19.666...
20 users