Math Diagnostic Quiz: Core Topics

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Algebra and data analysis

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Andrea Gastelum

Mexico

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Math Diagnostic Quiz: Core Topics


Math Diagnostic Quiz: Core TopicsVersion en ligne Algebra and data analysis par Andrea Gastelum 1 In a parking lot, 35 vehicles total and 110 tires. How many cars and motorcycles are there if cars have 4 tires and motorcycles 2? a 20 cars and 15 motorcycles b 30 cars and 5 motorcycles c 15 cars and 20 motorcycles d 25 cars and 10 motorcycles 2 Simplify: (3x^3y^3)(2x^-1y^2)/(6x^8y^5). a 1/x^5 b x^6 c x^-2 d 1/x^6 3 If alternate interior angles are equal: (3x+10)° = ? (5x-20)° a 3x+10 = 5x+20 b 3x-10 = 5x-20 c 3x+10 = 5x-20 d 3x+10 = 20-5x 4 For the quadratic sequence 2,6,12,20,30,..., find a,b,c in an^2+bn+c. a a=1, b=0, c=2 b a=0, b=2, c=2 c a=2, b=-1, c=0 d a=1, b=1, c=0 5 What is the 15th term of the sequence 2,6,12,20,30,...? a 260 b 300 c 210 d 240 6 Mean of the data set 5,7,7,8,8,8,9,9,10,10 is 8.1. If 5 is removed, what is the new mean? a 8.25 b 8.0 c 8.44 (approx) d 8.60 (approx) 7 With 5 removed, what is the new median of the data 7,7,8,8,8,9,9,10,10? a 8.5 b 8 c 9 d 7 8 Original dataset median is 8. What is the effect on the median if 5 is removed? a Median becomes 7 b Median remains 8 c Median becomes 9 d Median becomes 8.5 9 Original dataset mean and median (before removal) were 8.1 and 8. Which statement is true after removing 5? a Mean decreases, median stays 8 b Mean and median both increase c Mean increases, median stays 8 d Mean stays 8.1, median stays 8 10 What is the total number of wheels after removing the 5 from the dataset? a Sum becomes 81 with 9 items b Sum becomes 70 with 9 items c Sum becomes 76 with 10 items d Sum becomes 76 with 9 items Feedback 1 Let c+m=35 and 4c+2m=110. Solve to get c=20, m=15. 2 Combine exponents: x^(3-1-8)=x^-6 and y^(3+2-5)=y^0. 3 Set the two alternate interior angles equal and solve for x. 4 t_n = n(n+1) matches a=1, b=1, c=0. 5 t_n = n^2+n; t_15 = 15^2+15 = 240. 6 New sum=76, n=9, mean≈76/9≈8.44. 7 Median of 9 values is the 5th value, which is 8. 8 Removing the smallest value does not change the middle value for this dataset. 9 Removing the lowest value raises the mean; the median remains 8. 10 Original sum 81; remove 5 reduces sum to 76; 9 values remain.

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Math Diagnostic Quiz: Core Topics

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Créé par

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Math Diagnostic Quiz: Core TopicsVersion en ligne

par Andrea Gastelum

In a parking lot, 35 vehicles total and 110 tires. How many cars and motorcycles are there if cars have 4 tires and motorcycles 2?

Simplify: (3x^3y^3)(2x^-1y^2)/(6x^8y^5).

If alternate interior angles are equal: (3x+10)° = ? (5x-20)°

For the quadratic sequence 2,6,12,20,30,..., find a,b,c in an^2+bn+c.

What is the 15th term of the sequence 2,6,12,20,30,...?

Mean of the data set 5,7,7,8,8,8,9,9,10,10 is 8.1. If 5 is removed, what is the new mean?

With 5 removed, what is the new median of the data 7,7,8,8,8,9,9,10,10?

Original dataset median is 8. What is the effect on the median if 5 is removed?

Original dataset mean and median (before removal) were 8.1 and 8. Which statement is true after removing 5?

What is the total number of wheels after removing the 5 from the dataset?

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