Fully Simplify:
3(2x + 3) - 4x
2x + 9
The ratio of boys to girls in 6th grade is 3 : 2. If there are 36 boys, how many girls are there?
24 girls
What percent of 120 is 75?
62.5%
Fund the area and perimeter of the triangle:
Perimeter: 19 cm
Area: 10 cm2
Evaluate: (-4)3
-64
Greater than, Less than or Equal to?
(-18) - 43 ______ 43 - (-18)
(-18) - 43 < 43 - (-18)
Solve the proportion:
8/12 = 18/x
x = 27
A soccer team played 32 games. If they won about 40% of them, how many games did the team win?
13 games
Find the area and circumference of the circle. Use 3.14 for pi.
Area = 81 * 3.14 = 254.34 m2
Circumference = 18 * 3.14 = 56.52 m
Which is the best buy?
6 shirts for $25.50, 4 shirts for 18, or 5 shirts for $21
Show your work!
$25.50/6 = $4.25/1 shirt
$18/4 = $4.5/ 1 shirt
$21/5 = $4.2/1 shirt
5 Shirts for $21 is the best deal!
Simplify using order of operations:
(-32)(2) + 42 - 12(-4)=
0
The ratio of wins to losses for the Yankees so far this year is 7:5. If they have played 36 games, how many of them have they won?
21 games won
The Smiths went out to eat. Their bill was $85.20. If they left a 15% tip on the bill, what is the total cost of the meal?
$97.98
Find the surface area of the rectangular prism below:
Surface Area = sum of the areas of all the sides
= 2(8*3) + 2(3*6) + 2(8*6)
= 48 + 36 + 96
SA = 180 in2
Tom jogged from 10:30 a.m. to 12:00 p.m. He traveled a distance of 8 miles.
What was his average rate per mile?
90 mins / 8 miles = 11.25 mins / 1 mile
4(x - 10) - 9x = 0
m/8 = 13.5/9
m = 12
A math test has 43 questions on it. How many do you have to answer correctly to earn a grade of at least 80%? (Assume there is no partial credit)
35 questions
Find the Surface Area and Volume of the Triangular Prism:
Surface area = 2(.5*4*6) + (5*7) + (5*7) + (6*7)
= 24 + 35 + 35 + 42
SA = 136 m2
Volume = (.5*4*6)*7 = 84 m3
A pair of Jeans has an original price of $40. Sam has a coupon for 15% off. Then, there is a 4% sales tax on the SALE PRICE. What is the final cost of the Jeans?
Sale Price = $34
Final Price with Tax: $35.36
6 + 5(3 - 3x) + 9 = 20x
x = 6/7
In a public opinion poll, 624 people from a sample of 1,200 indicated they would vote for a specific candidate. How many votes can the candidate expect to receive from a population of 40,000?
20,800 votes for the candidate
Mrs. Keblusek went to target to buy supplies. She spent $300. She used her target credit card to get 5% off. But, she then had to pay 5% sales tax on the discounted amount. What is her total cost?
$299.25
Find the volume of the cylinder. Round your answer to the nearest hundredth:
Volume = (3.14)(62)(7)
Volume = 791.28 ft3
Solve for x:
28 + 2(4 - x) = 5x + 23 - 8
x = 3