7th Grade Math Pre-Algebra Unit 2

7th Grade Math Pre-Algebra Unit 2 - Rational Numbers

Check the correct statements about the number: 156

(Note: divisible means there is NO remainder.)
1. It is divisible by 2.
2. It is divisible by 3.
3. It is divisible by 5
4. It is divisible by 6
5. It is divisible by 10
How many factor pairs are there for the number 84?
Check which expressions below are monomials:
1. -17abc
2. 4( -3 + x )
3. 5( 2b + 3b )
4. 6m - 4
5. 456
If ( b - 5 ) is the base, what is the exponent of:

( b - 5 )( b - 5 )( b - 5 )
Check the correct statements below:
1. 2⁴ = 16
2. 4 ∙ 4 ∙ n ∙ n ∙ n ∙ n = 4n⁴
3. If x = -3, then
  x³ - 12 = - 39
4. k ∙ k ∙ k ∙ k ∙ m ∙ m = k⁴m²
Select which number below are prime numbers:
1. 17
2. 77
3. 89
4. 37
5. 49
Which pair of numbers below are twin primes?
1. 7, 14
2. 29,31
3. 27,29
4. 9,11
What is the greatest common factor of:

36x³y², 28 x⁴n²
Which fractions below are expressed in their simplest form?

(Check all that apply.)
1. 32/40 = 4/5
2. 4st/8t³ = s/2t
3. 18mn²/36mn = n/2
4. a⁴b/a³ = ab
5. 9/21 = 3/8
4a³ ∙ 6a² =
1. 24x⁶
2. 10a⁵
3. 24a⁵
( -4x^-3) ÷ ( -2x⁶) =
1. 2 x³
2. 8 x^-9
3. 2 x^-9
4. 2/x^-9
If b ≠ 0, then for any integer n, b^{- n} = 1 / bⁿ
1. True
2. False
Check the correct statements below:
1. 10 ^{- 2} = 1/100
2. ( - 5 ) ^{- 3} = 1/ 125
3. s ^{- 7} = 1/s ⁷
4. 8 ^-2 = 1 / - 8 ²
Write the following number in standard form:

4.872 X 10 ⁵
The following number in scientific notation is:

0.000068
1. 68 X 10 ⁶
2. 68 X 10 ^{- 5}
3. 68 X 10 ^{- 6}
4. 68 X 10 ⁵
If you write .006 in scientific notation, and the factor is 6, what is the value of the exponent on 10?
Check the correct statements below:
1. 13/19 < 0.70
2. 5 7/8 > 5.9
3. - 3 3/4 > - 3.85
4. 1/3 > 1/2
5. 7.19 < 7 1/5
If you write 0.385 as a fraction, the numerator is 385 and the denominator is:
The number 325 and 17 thousandths is expressed as:
1. 325.170
2. 325.0017
3. 325.017
4. 3250.17
Write 3.25252525 ... (where 25 keeps repeating) as a mixed number:
1. 3 1/4
2. 3 25/99
3. 3 1/8
4. 3 25/100
Write the following as a mixed number in its simplest form:
4 5/9 ( - 7 3/8)
1. 33 43/72
2. - 2419/72
3. - 33 43/72
4. 2419/72
Write the following expresion in its simplest form:

15/ab ∙ 4b/5
Check the correct statements below:
1. - 3 1/4 - 5 3/8 = 8 5/8
2. - 7 3/5 + 3 3/4 = -3 17/20
3. 7 7/8 - 3 /5/8 + 4 1/8 = 8 3/8
4. 72 1/12 - 67 5/12 = 5 8/12
5. - 3 1/3 x + 7 2/3 x = 4 1/3 x
Write the folowing repeating decimal as a fraction in its simplest form:

0.55555...
Select the statements below that are correct:
1. - 1/6 ∙ ( - 8/9 ) = -4/27
2. 3/4 ÷ (- 2 7/8) = 6/23
3. - 3/8 ÷ 2/3 = - 9/16
4. 3 x² ÷ (2/x³ = 3x⁶/2
Check which statements below are true:
1. The least common multiple of 8 and 36 is 72
2. The least common denominator of 1/9 and 17/24 is 36
3. The least common denominator of:
  7/12m³ and 11/16 mn is: 48 m³n
4. The least common multiple of 35, 40, 55 is 280
What is the mode of the following set of numbers:

13, 5,14, 8, 13, 29, 2, 13, 17, 6
What is the median of the following set of numbers?

123, 75, 86, 112, 94, 108
Solve the folowing equation:

8 = - 5/x

x =
What type of sequence is the following set of numbers?

81, 9, 1, 1/9, 1/81
1. arithmetic
2. geometric
3. neither
A unit rate is:
1. a ratio of two mesurements having differnet units of measure.
2. a rate that is simplified so that the denominator has a value of 1.
3. a comparison of two numbers by division.
Express the follwoing as a fraction in its simplest form:

3 tons to 2500 pounds
Express the following as a unit rate to the nearest tenth:

475.9 miles in 5.6 days
32 cm/s = ? m/min
Is the ratio 6/10 the same as 8/12 ?
1. Yes
2. No
Two grocery stores have the same item on sale at the same original price.

Grocery store A is selling it for "two for the price of one".

Grocery store B is selling it for 50% off, or at a 50% discount.

If you only need one of the item, which store would be the least costly?
1. Store A
2. Store B
Solve for a to the nearest tenth:

14.5/a = 20/6.5
Check the following pairs of ratios that form a proportion:
1. 3/4, 27/36
2. 1.5/6.0 , 4/15
3. 4.5/1.8 = 6.3/2.52
4. 5/2.5 = 15/7
Solve for x to the nearest hundredth:

24/(x +6) = 7/8
On a map, the road to the beach from your house is 12.75 in long. If the scale of the map is 1 in = 16 miles, how many miles is it from your house to the beach?

______________ miles
Check which of the follwoing are true statements:
1. 3/8 = 37.5%
2. 5/8 = 0.65
3. 33 1/3% = 1/3 = 0.3333...
4. 0.875 = 8/9
5. 50% of $2.80 = $1.40
41.8 is what percent of 19?

________ %
Your Dad went on a diet. At the start of the diet he weighed 195 pounds. At the end of the diet he weighed 173 pounds. What percent of decrese in his weight did he achieve? (Show your answer to the nearest percent.)

______ %
What is 0.5867 to the nearest tenth of a percent?

________ %
What is 87/235 to the nearest thousandth?
Express 1.5078 as a fraction:

Do NOT simplify.
In you kitchen cabinet there are 3 boxes of chocolate pudding, 2 boxes of vanilla pudding, 1 box of strawberry pudding and 2 boxes of butterscotch pudding. If you reach in without looking and pull out a box of pudding, what is the probability that you will pull out a box of butterscotch pudding?

Show you answer as a fraction.
If you put $ 380 into a savings account that pays 5.5% annual interest, how much interest will you receive at the end of 3 1/2 years? (Use a calulator. The interest is not compounded each year.)

$ _________
If the store is selling a 12 oz jar of jam for $3.99, what is the cost per oz?
(Round to the nearest penny.)

$_________
You favorite electronics store had a plasma television set for sale on Friday for $2,000. On Saturday day the store changed the price to $2,500. The next week the store advertised that the set would go on sale at 20% off. If you buy the set at this sale price, how much will you save from the original price the store was charging on Friday?
1. $500
2. $400
3. $0
4. $600