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Ch. 4: PF, GCF, LCM

Terms in this set (27)

2 x 2 x 2 x 7

Write the prime factorization for 56

3 x 31

Write the prime factorization for 93

2 x 3 x 19

Write the prime factorization for 114

2 x 2 x 2 x 3 x g x g

Write the prime factorization for 24g²

2 x 2 x 2 x 5 x g x g x g x h

Write the prime factorization for 40g³h

Find the greatest common factor for 28 and 70

Find the greatest common factor for 48 and 80

Find the greatest common factor for 15, 48, 92

Find the greatest common factor for 36 and 96

Find the greatest common factor for 15, 60, and 81

Find the greatest common factor for 6x, 9x², and 18x³

15x

Find the greatest common factor for 15x³, 45x, and 135x⁴

3x²

Find the greatest common factor for 66x³ and 27x²

Prime Number

A number that has exactly two factors.

Composite Number

A number that has more than two factors.

Factor

A number that goes into another number.

Equivalent Fractions

Two fractions that represent the same number.

Prime Factorization

A number written as a product of its prime factors.

Relatively Prime

Numbers whose greatest common factor is 1.

180

Find the least common multiple of 20 and 36

126

Find the least common multiple of 42 and 63

210

Find the least common multiple of 14, 21, and 35

96gh²

Find the least common multiple of 24g and 32gh²

150g²h²

Find the least common multiple of 50g²h and 6g²h²

96g²h²

Find the least common multiple of 32g²h² and 48g²

You want to group dogs for treats so that there are the same number of dogs in each group. If there are 40 dogs, how many groups are possible?

You want to have an equal number of cupcakes in each box. How many different groupings could you have with 80 cupcakes?

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PRECALCULUS

A baseball is hit at a point 3 feet above the ground toward the left field fence. The fence is 10 feet high and 375 feet from home plate. The path of the baseball can be modeled by the parametric equations x = (115 cos θ)t and $$ y = 3 + (115 sin θ)t - 16t^2 $$ Will the baseball go over the fence when it is hit at an angle of θ = 30°? Will the baseball go over the fence when θ = 35°?

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INTEGRATED MATH

Solve. A pet-shop owner surveyed 200 customers about whether they own a cat or a dog. Partial results of the survey are recorded below. Complete the two-way frequency table. One-half of the respondents own a dog but not a cat. The number of customers who own neither a dog nor a cat is 38. There are no customers who own both a dog and a cat. $$ \begin{matrix} & \text{Cat}\\ \text{Dog} & \text{Yes} & \text{No} & \text{Total}\\ \text{Yes} & \text{0} & \text{ } & \text{ }\\ \text{No} & \text{ } & \text{38} & \text{ }\\ \text{Total} & \text{ } & \text{ } & \text{ }\\ \end{matrix} $$

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BUSINESS MATH

Eddie is a plant manager at North Salem Construction Company. He has been employed there for 20 years and will be retiring at the end of this year. His pension is calculated on the average of his last four years’ salaries. In those years, he earned $82,000,$96,000, $105,000, and$109,000. His employer will give him 1.2% of that average for each year he worked. Calculate Eddie’s pension.

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PRECALCULUS

Matthew is riding a Ferris wheel at a constant speed of 10 km/h. The boarding height for the wheel is 1 m, and the wheel has a radius of 7 m. What is the equation of the function that describes Matthew’s height in terms of time, assuming Matthew starts at the highest point on the wheel?

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Ch. 4: PF, GCF, LCM

Terms in this set (27)

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