Fully Simplify:
-3(2x + 3) - 4x
-10x - 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: -43
-64
Evaluate if x = -2 and y = -3:
y(x - y)
-3
Solve the proportion:
8/12 = 18/x
x = 27
A soccer team played 32 games. If they won 40% of them, how many games did the team win?
80 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!
Evaluate if x = -2 and y = -3:
x3 + y2
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 Smith's 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 Volume and surface area of the rectangular prism below:
Volume: Area of Base * Height = (8*3)*6 = 24*6
= 144 in3
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.
a. What was his average rate of jogging?
b. At 12:00 p.m., he decided to go an additional 4 miles at the same rate. At what time should he finish the additional 4 miles?
a) 90 mins / 8 miles = 11.25 mins / 1 mile
b) 90 mins / 8 miles = 45 mins / 4 miles --> Done at 12:45 pm
4(x - 10) - 9x = 0
m/8 = (m +7)/9
m = 56
A town is expanding rapidly. In 2017, there were 50 homes in the town. Now, there are 125 homes. Find the percent change. Be specific!
150% increase
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
Find the interest earned. Then find the final balance.
Principal: $600. Rate = 16%. Time = 18 months
Interest = $96/year --> $144 / 18 months
Balance = $744
6 - 5(3 - 3x) + 9 = 20x
x = -2.5
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?
20,000 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 surface area of the cylinder. Round your answer to the nearest hundredth:
SA = 2(36*3.14) + (12*3.14*7)
SA = 226.08 + 263.76 = 489.84 ft2
Sara put $3000 in a savings account earning 5% simple interest. How long will it take for her to grow her balance to $3900?
6 years