2 Step Equations
2x + 3 = 7
x=2
A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping. Find the surface area of a bar of soap if the diameter is 5 cm and the height is 2 cm. Use 3.14 for π.
70.65cm2
Victor is waiting his turn to spin the prize wheel below. Each of the 6 sectors of the prize wheel are equal sizes. If Victor lands on the 6 (orange) he wins $1,000 dollars. If Victor lands on any other sector, he receives nothing. If Victor has 2 chaces to spin the prize wheel, what is the probability that he will win the $1,000 prize?
11/36
Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic feet of water does it hold? Round to the nearest cubic foot.
37.68ft3
-19 ≥ 2x – 9
-5
0.3y + 5 = 1
-7.5
Chloe wants to wrap a present in a box for Sarah. The top and bottom of the box is 8 in. by 3 in., the sides are both 3 in. by 2 in. and the front and back are 8 in. by 2 in. How much wrapping paper will Chloe need to wrap the present?
62
Mike, Raymond, and Sandy collect baseball cards. Their favorite baseball card shop is having a prize give away. With the purchase of $20 or more, you get to spin the prize wheel. There are 10 slots on the prize wheel of equal size. Each slot of the prize is for a different prize. If Mike, Raymond, and Sandy all spin the prize, what is the probability that each person lands on a different prize?
0.72
A rectangular cake pan is 13 centimeters by 21 centimeters by 5 centimeters. A round cake pan has a diameter of 21 centimeters and a height of 4 centimeters. Which cake pan holds (Volume) more batter?
round cake pan
-3x + 2 > 11
-3
Three more than five times John’s age is twice his sister’s age. If John’s sister is 29, how old is John?
11
The lateral area of a cylinder is 94.2 cm2. The height is 6 cm. What is the radius?
2.5cm
A bag contains 5 blue sticks, 4 red sticks, and 3 orange sticks and you ask a friend to pick one without looking. What is the probability that the stick will be blue?
5/12
A toy company makes rectangular sandboxes that measure 6 feet by 5 feet by 1.2 feet. A customer wants to buy a sandbox and 40 cubic feet of sand. Did the customer buy too much or too little sand? Justify your answer
36 ft3
16 – 4x > 8
2
6x-2=10
2
A company is deciding which box to use for their merchandise. The first box measures 8 inches by 6.25 inches by 10.5 inches. The second box measures 9 inches by 5.5 inches by 11.75 inches. Which box required more material to make?
Box 2
When a six sided die is rolled then what is the probability that the number rolled will be five?
1/6
A cube is a rectangular prism with the same measurement for length, width, and height. If a cube is 4 inches tall, what is its volume?
64
7k – 2 ≥ -9
-1
5x-3=7
2
Trey and Matt each have a rectangular prism. The base of Trey’s prism is 4 cm by 7 cm and has a height of 12 cm. The base of Matt’s prism is 6 cm by 10 cm and has a height of 3 cm. Whose rectangular prism will require more material to construct?
Treys will require more
A bag contains ten black marbles, twenty white marbles, and five grey marbles. You pick one without looking. What is the probability that the marble will be either white OR black?
6/7
A desk is 1.5 feet wide and 5 feet long. It is 3 feet above the floor. What is the volume of space under the desk?
22.5ft3
2x < x − 4 ≤ 3x + 8?
-4