Explanation: This problem is testing your knowledge about Order of Operations. First, solve the problem in the parenthesis. Second, evaluate any powers and roots. Third, MULTIPLY and DIVIDE from left to right. Fourth, ADD and SUBTRACT from left to right.

So, (10 – ­5) + 4 x 11
5 + 4 x 11
5 + 44
49

Explanation: Since the highest number in the set of data is 24, adding another 24 will bring the average up.

Explanation: $160 x .20 = $32 in savings. We then need to subtract the savings from the original price, so $160 -­ 32 = $128 for the Kindle.

Explanation:
4 goes into 12, 3 times. This means that Krystal will need 3 boxes to feed 12 girls. So,
3 boxes x 3.50 = $10.50

Explanation:
Add 9 to each side.
y – ­9 + 9 > 18 + 9
y > 27

Explanation: You need to find the total cost of each group of items by setting numerical expression. The group that totals less that $10 is what he can afford.
The numerical expressions of each group would look like this:
7(.75) + 4(1.25) = $10.25
6(.75) + 6(1.25) = $12
6(.75) + 4(1.25) = $9.50
5(.75) + 6(1.25) = 11.25
Because C is less than $10, that is the correct answer.

Explanation: This question is testing your ability to determine slope for a linear line. Slope can be found by using the rise over run formula, which states the (y2-­y1)/(x2-x1). The line in this graph passes through (1,9) and (2,11). Therefore, y2 = 11 and y1 = 9 and x2 = 2 and x1 = 1. Plug these values into the formula: (11-­9)/(2­-1)= 2/1

Explanation: According to the table there are 5 red balls with spots, 3 red balls with stars and 4 red balls with hearts. So, 5 + 3 + 4 = 12. Since 3 of these have stars, that means three of them are a possible outcome. So a child has a 3/12 possibility for choosing a red ball with stars. 3/12 can then be reduced to ¼.

Explanation: A prime number is that which can only be divided by itself. 11 is the only prime number in the set of data.

Explanation: This question is testing your ability to determine the volume of a cylinder. The volume of a cylinder can be found by using the formula, v= πr²h
In this problem, r = 1.5 and h = 2.5, so
v = π(1.5)²(2.5)
v = π (2.25)(2.5)
v = π 5.63
v= 17.69, then round up to the nearest whole number to get 18.

D. 14 km

Explanation: It necessary to calculate the distance between the Kim’s home and the library, as well as the library and the market. You can add the distances. And then, because we know that Kim walked there AND back, we can multiple the distance by 2. So,
Distance to the library = 3 blocks = 3 km
Distance from the library to the market = 4 blocks = 4km
So, 3 + 4 = 7 km
7 x 2 = 14 km total

B. 9 ft²

Explanation: To find the answer you must find the difference of the two areas. You must first
find the area of old dog house. So, 2ft x 3ft = 6ft² You then need to find the area of the new
dog house base. So, 3ft x 5ft = 15ft². You then need to find the difference, so 15 ­- 6 = 9.

C. 5.5 m2

Explanation: The blue space is the difference between the square and the circle. You must begin by finding the area of the square and the circle.
Area of the square:
6 x 3 = 18m2
Area of the circle: π2²= π4 = 12.5
Then,
18 – ­12.5 = 5.5

Explanation: This question can be solved by using the simple interest formula.
Simple interest = principal amount x rate x time
SI = 5,000 x .08 x 3
SI = 1,200
The total that Carly must pay back is,
5,000(original loan amount) + 1,200 (interest) = $6,200
The duration is 3 years, which is 36 years.
$6,200/36 = $172.22

Explanation: To solve this problem you need to find the difference between the two totals. You first need to figure out how much each would cost. So,
$2.49 x 13 = $32.37
$2.62 x 13 = $34.06
Then, 34.06-32.37 = $1.69