General Math 2 Lesson 1
Hedi, a jewelry salesperson, earns a commission of $55 every time she sells a diamond ring. How many rings does she have to sell to earn $605? Choose the equation that correctly calculates the amount. a.) $605 - $55 = W b.) $55 - W = $605 - W c.) $55 + W = $605 d.) $55 x W = $605
$55 x W = $605
Three friends went to a school play. Each ticket was $5. They each spent different amounts of money on food and drink. Name Food and drink costs Chris $5 Ben $3 Danica $6 Which of these expressions can be used to find the total amount of money all three friends spent on tickets, food, and drink? a.) (3 × 5) × (5 + 3 + 6) b.) (3 + 5) × (5 + 3 + 6) c.) (3 × 5) + (5 + 3 + 6) d.) (3 + 5) + (5 × 3 × 6)
(3 × 5) + (5 + 3 + 6) - Multiply 3 by 5 to get the total number of tickets that the three friends bought. Then, add this to the sum of the cost of food and drink for each friend.
Which of these is equivalent to 9^2 + 4^2? a.) (9 + 9) + (4 + 4) b.) (9 × 4)^2 c.) (9 + 4)^2 d.) (9 × 9) + (4 × 4)
(9 × 9) + (4 × 4) - The power of a number tells you how many times a factor will be multiplied by itself. The power 2 is applied to each number, 9 and 4.
Which of these expressions is equal to 6 + (2 + 3) × 5? a.) 1 + 10 × 3 b.) 9 × 5 + 10 c.) (4 × 5) + 3 d.) 5 + 4 × ( 5 - 6)
1 + 10 × 3 - Operations with parenthesis are always performed first. Next, perform all multiplication and division operations in order from left to right. Finally, after all multiplication and division operations are completed, perform addition and subtraction operations in order from left to right.
Which answer choice contains all the factors of 10? a.) 1, 10 b.) 2, 5 c.) 1, 2, 5, 10 d.) 1, 2, 5
1, 2, 5, 10
According to the Wall Street Journal, 14,200,000 copies of Walt Disney's Fantasia have been sold to date. Write that number in scientific notation. a.) 142 x 1,000,000 b.) 142 x 10^7 c.) 1.42 x 10^6 d.) 1.42 x 10^7
1.42 x 10^7
Lacey is thinking of a number. Her number is a factor of 30, and a composite number. Which of these could be Lacey's number? a.) 15 b.) 5 c.) 8 d.) 30
15 - A factor is defined as any whole number that can be divided into the given number without leaving a remainder. Composite numbers are numbers that have more than two factors.
Kaylee found the surface area, in square inches of a rectangular prism by using this formula. 2(5 × 3) + 2(5 × 8) + 2(3 × 8) What is the surface area of the prism, in square inches? a.) 158 b.) 40 c.) 85 d.) 238
158 - Operations with parenthesis are always performed first. Next, perform all multiplication and division operations in order from left to right. Finally, after all multiplication and division operations are completed, perform addition and subtraction operations in order from left to right.
Which of the following is a perfect square? a.) 154 b.) 115 c.) 169 d.) 279
169
On Monday John bought 7 apples. On Tuesday he bought 3 times as many apples as he did on Monday. How many apples did John buy on Tuesday? a.) 3 b.) 28 c.) 10 d.) 21
21
Which number is a multiple of 6 and 8? a.) 24 b.) 2 c.) 3 d.) 18
24 - A multiple of a given number is defined as the product formed by the given number and another number
In the equation R + 14 = 39, what is the value of R? a.) 53 b.) 25 c.) 546 d.) 24
25
Which of these is equal to 5^0 + 2^1? a.) 2^0 + 2^1 b.) 2^0 + 1^1 c.) 6^0 - 3^0 d.) 6^0 - 6^1
2^0 + 2^1 - Any number with 0 as an exponent is automatically equal to 1. A base that has an exponent of 1 is equal to that same number; no multiplications are performed.
Which of the following groups of numbers are all prime numbers? a.) 2, 3, 5, 9, b.) 2, 5, 15, 19 c.) 3, 11, 23, 31 d.) 7, 17, 29, 49
3, 11, 23, 31
Write 3 x 3 x 3 x 3 x 3 x 3 using exponents. a.) 3^6 b.) 9^4 c.) 12^3 d.) 6^3
3^6
5.6 x 10 (to the power of ?) = 56,000 Which exponent is missing from this equation? a.) 4 b.) 5 c.) 3 d.) 2
4 - To change a number in scientific notation back to a regular number, simply move the decimal point to the right the number of places indicated by the exponent
In the problem 4 x 12 = 48, which numbers are the FACTORS? a.) 4, 12, and 48 b.) 4 and 12 c.) 12 and 48 d.) 4 and 48
4 and 12
What are the prime factors of 625? a.) 25, 25 b.) 5, 5, 25 c.) 1, 5, 5, 5, 5 d.) 5, 5, 5, 5
5, 5, 5, 5
What is the cube of 8 a.) 24 b.) 512 c.) 2 d.) 64
512
There are 75 envelopes in a package. How many envelopes are there in 7 packages? a.) 525 b.) 625 c.) 10r 5 d.) 552
525
What is 23 squared? a.) 46 b.) 1,058 c.) 129 d.) 529
529
What is the value of 5.7 x 10^8? a.) 5,700,000,000 b.) 5.70000000 c.) 57,000,000 d.) 570,000,000
570,000,000
What is 6 squared in expanded form? a.) 36 b.) 2 x 2 x 2 x 2 x 2 x 2 c.) 6 x 6 d.) 12
6 x 6
Which of the following is a multiple of 4? a.) 734 b.) 626 c.) 891 d.) 620
620
What is the square root of 64? a.) 8 b.) 4 c.) 16 d.) 32
8
Which of the following numbers is a multiple of 6? a.) 424 b.) 882 c.) 106 d.) 333
882
What is the square root of 81? a.) 11 b.) 18 c.) 9 d.) 8
9
Sammie took 25 out of her checking account. After taking the money out of her account she had 100 remaining. Which equation can be used to find the amount, c, Sammy had in her account before she took the money out? a.) c - 25 = 100 b.) c × 25 = 100 c.) c + 25 = 100 d.) c ÷ 25 = 100
c - 25 = 100 - The operation you'll need to use in this problem is subtraction. Use the letters to stand for the amount of money Sammy had before she took out $25.
Ella had softball and dance practice for 4 weeks. She practiced softball 2 hours a week and dance 1 hour a week. Which operations can be used to find the total number of hours Ella practiced softball and dance? a.) multiplication and subtraction b.) division and addition c.) division and multiplication d.) multiplication and addition
multiplication and addition - Use multiplication and addition to solve the problem. Find the amount of time Ella practices softball for 4 weeks using multiplication, then add the amount of time she practices dance for 4 weeks.
Solve for x in the equation x + 10 = 15 a.) x = -5 b.) x = 25 c.) x = 5 d.) x = 10
x = 5
