Number Relationships
The area of a piece of land is 4,951,000 square meters. How is this number of square meters written in scientific notation?
4.951 x 106
A student's parents invest $5,000 in a college savings account that pays 4.85& annual simple interest. No additional deposits or withdrawals will be made. What is the interest earned at the end of 15 years?
$3,637.50
Calculate the value of x in the following equation:
4x + 7 = 15
x = 2
The diameter of a cylinder is 2.5 inches, and the height is 7.5 inches. What is the equation used to find V, the volume of the cylinder in cubic inches?
V=(pi)(3.75)2(2.5)
Can I accurately calculate the surface area of a sphere using the diameter? If not, what do I need to find and how do I find it?
No. You need to divide the diameter by two to find the radius.
What type of number is 7? List all that apply.
real, rational, integer, whole
Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not make any additional deposits or withdrawals. How much interest will she earn at the end of 3 years>
$1,800
Calculate the value of x in the following equation:
2x + 3 = x - 4
-7
A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is 6.5 meters, and height of the silo is 12 meters. What is the equation used to find V, the volume of the cylinder in cubic inches?
V=(pi)(3.25)2(12)
An architect uses a cylindrical container to protect her blueprints. The dimensions of the cylinder are 3 inches for radius and 15 inches for the height. What is the total surface area in square inches? (round to the nearest hundredth)
339.29 in2
The square root of 29.5 is Point Q on a number line. What two numbers would Point Q be between?
5 and 6
Mr. Flores opened an account with a deposit of $5,000. The account earned annual simple interest. He did not make any additional deposits or withdrawals. At the end of 4 years, the balance of the account was $6,500.
7.5%
Calculate the value of x in the following equation:
12x + 6 = 7x - 3
x = -9/5
The height of a cylinder is 5 centimeters. The circumference of the base is 16pi centimeters. What is the volume of the cylinder in cubic centimeters?
1,005.3 cm3
The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The height of the prism is 16.5 meters. What is the LATERAL surface area of the prism in square meters?
379.5 m2
List the following number in ascending order: square root of 38, -6.35, 63%, -19/3
-6.35, -19/3, 63%, square root of 38
Tuition for one year at a state university is $13,000. Devon would like to attend this university and will save money each month for the next 4 years. His parents will give him $5,200 for his first year of tuition. How much would he need to save per month for the next 4 years?
$162.50
The measures of two angles are (5x + 24) and (9x - 17). What is the value of x if these angles are congruent?
10.25
The height of a cone that holds ice cream is 4.5 inches. The cone has a volume of 1.5pi cubic inches. What is the measurement of the radius of the cone in inches? (round to the nearest whole number)
1 inch
A rectangular prism has a height of 6.5 inches, length of 7.5 inches, and width of 5 inches. What is the total surface area? Round your answer to the nearest tenth.
237.5 in2
What is the relationship between Real Numbers, Rational Numbers, and Irrational Numbers?
Rational & Irrational Numbers are Real Numbers, but Rational & Irrational Numbers have nothing in common.
Ben deposits $1,750 into each of two savings accounts.
Account I earns 2.75% annual simple interest. Account II earns 2.75% interest compounded annually.
Ben does not make any additional deposits or withdrawals. What is the difference between the interest earned in Account I and the interest earned in Account II at the end of 2 years?
$1.32
Julie started with 20 pieces of gum and gave away x pieces. Conrad started with 35 pieces of gum and gave away twice as many pieces as Julie did. How many pieces of gum did Julie give away if they had the same number of pieces of gum left.
15
A bowling ball shaped like a sphere has a diameter of 21.6 centimeters. Which measurement is closet to the volume of the bowling ball in cubic centimeters?
5,276.7cm3
The base (triangle) of a triangular prism has a side length of 5 cm and a base length of 6cm. The prism's height is 8 cm. What is the lateral surface area of the triangular prism in square centimeters?
128 cm2