1. Suppose you have made 3 block towers: one 3 blocks tall, one 6 blocks tall, and one 2 blocks tall. Describe some ways to make 2 more towers so that there is an average of 4 blocks in all 5 towers. Explain your reasoning 2. If you run 3 miles every day for 5 days, how many miles will you need to run on the sixth day in order to have run an average of 4 miles per day over the 6 days? Solve this problem in two different ways, and explain your solutions 3. The mean of 3 numbers is 37. A fourth number, 41, is included in the list. What is the mean of the 4 numbers? Explain your reasoning Explain how you can quickly calculate the average of the following list of test scores without adding the numbers: 4. 81, 78, 79, 82

Q: Factor completely.       3-6x 2

A: Given3-6x2

Q: Factor.

A:

Q: 7 Solve 3 11 = 2x

A:

Q: Factor completely. 2x? – 9x + 4

A:

Q: Factor. 25t2 − 9

A: We use the formula a2-b2=a-ba+b

Q: 2) a? + a – 30

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: factor completely. 7m5n + 16mn3

A: Given: 7m5n+16mn3 We have to factorize the given polynomial completely.

Q: Solve the puzzle on the given picture

A: This is a Kenken puzzle given in the question. Based on the available method and calculator we can…

Q: Factor completely. 16 p* – 1

A:

Q: How to find the LCM of two numbers m and n without using factorization?

A: LCM is the least common factor of two or more numbers.

Q: 2. Solve the equationV2562 x 16* = 64*-3 by expressing both sides as a power with base 2.

A: We have been provided equation as- 25623×16x=64x-3 We need to solve it by taking it to the base 2…

Q: factor completely. 81m2 - 9n2

A: We have to factorize the expression: 81m2-9n2 Rewriting the expression, 81m2-9n2=9m2-3n2 We know the…

Q: Find the largest whole number which is a factor of both 101 and 42.

A: We are required to find the greatest common divisor (also known as the highest common factor or HCF)…

Q: Factor completely.  16w2 − 72w + 81

A: Given 16w2 − 72w + 81

Q: 3) Solve 62x-1-9.

A:

Q: Find all the factors of a number324. Use and indicate a specific method of solving. Note: May start…

A:

Q: factor completely. 3x(2a + b) - 2y(2a + b)

A: Given: 3x2x+b-2y2a+b

Q: Solve by Multiplying 5.

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.