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6th Grade Math Chapter 1 Review Glencoe

Prime Factors and Powers and Exponents

Question:

Is the number 11 prime or composite?
Answer: prime

Question:

Given an example (a specific number) of a composite number.
Answer: Answers will vary (any even number 2, 4, 6, etc...; 15, 21, etc...)

Question:

What is 7³?

Answer: 343

Question:

What is the square root of √121?

Answer: 11

Question:

Find the prime factorization of 72 using exponents.


Answer: 2³ x 3²

Order of Operations

Question:

4 + 3 x 5
Answer: 19

Question: (26 + 5) x 2 - 15
Answer: 47

Question:

18 ÷ (2 + 7) x 2 +1

Answer: 5

Question:

5³ - 12 ÷ 3

Answer: 121

Question: 9 + 4³ x (20-8) ÷ 2 + 6
Answer: 399

Algebra: Variables and Functions

Question:

If b=25 then solve 16 + b=?
Answer: 41

Question:

If k=15, then solve 5k x 2=?

Answer: 150

Question: Fill in the missing numbers from the function table.

 x       x + 7
10       17
12        ?
14        ?

Answer:
12        19
14        21


Question: What is the output function for this table?

Input      Output
  0              0
  4              1
 16             4

Answer:÷ 4

Question:
What is the output function for this table?

Input      Output
  3              7
  4              9
  5             11

Answer:

x 2 + 1



Algebra: Equations

Question:

9 + w = 17

w= 7, 8, 9

Answer: 8

Question:

24 - y = 12
Answer: 12

Question:

10m = 90

m = ?

Answer: 9

Question:

d ÷ 3 = 6

d = ?

Answer: 18

Question:

If p is equals 3, then is this statement true?  Why or Why not?

4p + 3 = 18

Answer: No, if p = 3 then the answer would be 15.

Area Formulas

Question: The formula for:

the area of a rectangle is A=_____

the area of a square is A=______

Answer: the area of a rectangle is A=lxw or A= length x width

the area of a square is A=s² or A= sides squared


Question: What is the area of a rectangle that the length is 8 yards and the width is 3 yards?
Answer: 24 square yards or yd²

Question: What is the area of a square whose sides are 20 cm?
Answer: 400 cm²

Question: The floor of a domed camping tent measures 7 feet by 9 feet.  What is the area of the floor of the tent?
Answer: 63 ft.²

Question: The Jenkins are replacing the flooring in their kitchen with ceramic tiles.  They are deciding between 12-inch square tiles and 6 inch square tiles.  What is the difference in the area of the 2 tiles they are considering?
Answer: 108 in.²