Properties of Arithmetic
Evaluate 40 x 1/8 + 40÷1/8 + 40 x 1/5 + 40÷1/5
533
4-8( (-2)2 - 4(-3)
-124
Find the prime factorization of the following numbers.
a. 693
b. 210
a. 32 x 71 x 111
b. 21 x 31 x 51 x 71
Which integer is closest to the quotient
725/60 ÷ 25/6
3
Simplify 3x2 -5x - x(2x2 +4x)
-x2 -7x3
693 x 1587 - 692 x 1587
1587
Express as a power of 2
1/2(215)
214
If the 4 digit number 7,2d2 is divisible by 6, then what is the largest possible value of the digit d?
7
Find the value of xy/7x+3y if x = 3/7 and y = 4/3
4/49
Solve .4(5+2x)- 12 = .9x+2.1
121
Compute
(1901+1902+1903+....+1993) - (101+102+103...+193)
= (1901-101)+(1902-102)+....+(1993-193)
= 1800+1800+1800+...
=93 x 1800
= 167,400
Express at a power of 3
3-4 x 32 ÷ 33
3-5
Compute the (GCF or GCD) for the following
a. 144,405
b. 238,374
a. 9
b. 34
Evaluate the following
a. (3/4)3
b. (5 1/3 - 2 1/4) + (5 1/4 - 3 1/3)
a. 27/64
b. 5
9t+5-12t>7+3t+10
Number line showing all numbers less than -2
What is the reciprocal of 2 x 3 x 1/4 x 1/9
6
a. 2.08 × 107 =
b. 7.48 × 108 =
c. Write 659, 172 in scientific notation
a. 20,800,000
b. 748,000,000
c. 6.59172 × 105
Find the LCM for the following
a. 16,21,28
b. 45,60,75
a. 336
b. 900
Sam purchased 3 1/4 pounds of cheese. He used half of the purchased cheese for a casserole and 1/4 pound for sandwiches. Express as a mixed number the number of pounds of cheese he has left..
1 3/8
From a certain apple tree, Jenny picked 1/4 of the apples and Lenny picked 1/3 of the apples. Penny picked the rest of the apples. If Lenny picked 7 more apples than Jenny did, how many apples did Penny pick?
35 apples
Sean wanted to compute 200 ÷ 10 ÷ 2 , and his reasoning was: 10÷2 is 5, so 200÷ 10 ÷ 2 is the same as 200 ÷ 5, which is 40. So, the answer is 40. Is Sean correct? Why?
Sean is incorrect! Division is not associative. The correct answer is 10
20 + 30 + (-4)0 - (2+3-4)0
2
What is the sum of the two smallest multiples of 6 that are greater than 103?
222
If 12 2/3 feet of steel tubing are needed to make one kitchen stool, how many feet of tubing are needed to make 300 stools?
3800 ft of tubing
If I give my sister 5 dollars, then we will have the same amount of money. If instead she gives me 8 dollars, then I'll have twice as much money as she has. How much money does she have?
$34