I Be Positive (or Negative)
Solve the following problem:
-3.8 - (-6.1) = ?
2.3
The scale of a map is 20 miles to 4 inches. What actual area does 2in2 on the map represent?
50 miles
Expand the expression:
-3(x+7)
-3x + (-21)
-3x - 21
Solve the equation:
2(t - 2) + 2 = 22
t = 12
Calculate the simple interest and how much someone would have to pay back in total:
Principal: $500
Rate: 8%
Time: 3 years
Interest: $120
Total: $620
The product of a and b is 6. The product of a and c is -4. The product of b and c is -6. What are the values of a, b and c?
a= -2
b= -3
c= 2
A drawing of a soccer field uses a scale of 1 grid square to represent 5 meters. A second drawing of the same field uses 15 meters for 1 grid square. Compare the 2 scaled drawings; which is bigger and which is smaller.
The second drawing is going to be smaller because 1 grid square is going to represent 3 grid squares in the original. The second drawing is going to be 1/3 the size.
Factor the expression (factor out the greatest common factor):
-14w - 21
7(-2w - 3)
-7(2w + 3)
Solve the equation:
-.25x + 7.5 = 15
x = -30
Calculate the simple interest and how much someone would have to pay back in total:
Principal: $50
Rate: 12%
Time: 1 year
Interest: $6
Total: $56
Find the product of the rational numbers:
15.23 and -7.43
-113.1589
Marcus is going to tile his bathroom floor. He has a scale drawing in which the side length of each unit square represents 2 ft. The bathroom in the scale drawing is 4 squares wide and 3 squares long. Marcus is going to use square tiles that are 1/2 foot wide. How many tiles is Marcus going to need to tile his bathroom?
192 tiles
Expand the expression:
2/3 (x + 18 - 2)
-2/3x +12
3 siblings are born on the same date in consecutive years. The sum of their ages is 42. How old is the oldest sibling?
15 years old
If you borrow $675 for 6 years at an interest rate of 10%, how much interest would you owe?
$405
21 5/6 - (-7 2/3) = ?
29 1/2
The scale of a right triangle to its drawing is 8ft to 1cm. In the drawing, the triangle has a base of 2.4cm and a height of 3.6cm. What is the actual area of the triangle?
34.56ft2
Factor the expression (factor out the greatest common factor):
-6x + 15y - 24
3(-2x + 5y - 8)
-3(2x - 5y + 8)
Leon pays $12.50 per month for a music subscription service. In one month, he decides to buy 6 songs from the service. Each song costs the same amount. That month, his bill has $17.84. How much was each song?
89 cents
$0.89
How much interest does a $407 investment earn at 6% for 7 years?
$170.94
Find the following quotient:
2 3/4 divided by -11 = ?
-1/4
The scale from a map to actual distance is 2.5cm to 620 miles. The distance between Chicago and Boston on the map is 3.5cm. What is the approximate distance, in miles, between the two cities?
approximately 868 miles
Are .5 - 3(-2x - 1/3 + 4 + 8x) and -1.5(12x + 7) equivalent expressions?
Yes
Solve the inequality:
-1/3(2x + 5) is less than x
-1 is less than x
x is greater than -1
If a loan is taken out for $910 at 7% and costs $509.60, how long was the loan for?
8 years