The Number System
14.25 + 3.8 =
18.05
A fruit basket contains 4 apples, 6 bananas, and 3 oranges.
-Write the ratio of apples to bananas in three different ways (using a colon, as a fraction, and using the word "to").
-Simplify the ratio if possible.
4:6
4/6
4 to 6
2/3 simplified
A square sticky note has a side length of 3 inches. What is the perimeter of the sticky note?
-hint: what shape is a sticky note?
12 inches
Evaluate the expression below when (x = 8)
X + 15
23
Evaluate the following expression:
|-12| + |4| =
16
2/3 divided by 4/5 =
5/6
A swimmer burns 20 calories for every 2 minutes of swimming. Complete the ratio table below to find the missing values:
2 minutes = 20 calories
4 minutes = ? calories
40 calories
A rectangular rug is 6 feet long and 4 feet wide. What is the area of the rug?
-hint: A = L x W
24 feet
Write an algebraic expression to represent the phrase below:
"7 less than a number, (n)"
7 < N
5 x 10 - 2 + 3
-hint: order of operations
51
Two cities have freezing winter temperatures. City A is -7 degrees F and City B -3 degrees F
-Write an inequality using (<) or (>) to compare the two temperatures.
-Which city is warmer?
-7 < -3
City B is warmer
A grocery store sells a 5-pound bag of apples for $4.50. What is the unit rate (cost per pound) of the apples?
.90 cents per pound
A backyard garden is shaped like a rectangle. It has a length of 10 meters and a width of 7 meters. What is the perimeter of the garden?
-hint: add up ALL the sides
34 meters
Solve for (g) in the equation below:
g + 14 = 32
18
A lighthouse has two lights. The blue light flashes every 6 seconds. The red light flashes every 8 seconds. If they just flashed at the exact same time, how many seconds will pass before they both flash together again?
-hint: find the least common multiple
24 seconds
A baker has 24 chocolate chip cookies and 36 sugar cookies. She wants to pack them into identical bags so that each bag has the same number of chocolate chip cookies and the same number of sugar cookies, with no cookies left over. What is the greatest number of bags she can make?
-hint: find the greatest common factor?
12 bags
Package A contains 3 glue sticks for $2.40. Package B contains 4 glue sticks for $3.00. Which package is the better buy, and why?
-hint: divide the cost by the number of glue sticks for each and then compare.
Package A = 80 cents
Package B = 75 cents
Package B is the better buy, because it is cheaper
A right triangle has a base of 8 centimeters and a height of 5 centimeters. What is the area of the triangle?
-hint: A = 1/2 x B x H
20 centimeters
Solve for (y) in the equation below:
y/4 = 9
-hint: what is the opposite of division?
36
The point (3, -5)is plotted on a coordinate plane. If this point is reflected across the x-axis, what will be the coordinates of the new point?
(3 , 5)
1.56 / .3
5.2
The ratio of boys to girls in the school band is (3:5). If there are 40 girls in the band, what is the total number of students in the band?
-hint: how many times can 5 go into 40?
24 boys
The perimeter of a rectangular picture frame is 24 inches. If the length of the frame is 8 inches, what is its width?
4 inches
A school cafeteria worker is putting oranges into boxes. She distributes 120 oranges equally among (b) boxes. Each box holds exactly 15 oranges.
-Write the equation and solve for b
15b = 180
b=12
Gasoline costs $3.45 per gallon. If a driver puts 12.4 gallons of gasoline into their car's fuel tank, how much will they pay in total? Round your answer to the nearest cent if necessary.
$42.78