Lessons 4.1 & 4.2
Lesson 4.3
Lesson 4.4
Lesson 4.5
Lesson 4.6
100
What is the prime factorization of 540?
2(squared) * 3(cubed) * 5
100
What are two equivalent fractions to 5/45?
1/9 or 10/90 (ask teacher if your answers are correct)
100
What is the least common multiple of the numbers 15, 35, and 70?
210
100
What is product of 3(squared) times 3(to the 4th)? Write your answer using exponents.
3(to the 6th)
100
Write this expression using only positive exponents. 7 (to the -5)
1/7(to the 5th)
200
Tell whether the number 243 is prime or composite. If it is composite, write its prime factorization.
Composite -- 3 to the fifth power
200
Write 45/75 in simplest form.
3/5
200
You have two alarm clocks set for the same time. The snooze time on one alarm clock is 10 minutes and the snooze time on the other is 15 minutes. If you continue hitting the snooze button on both alarm clocks after they ring the first time together, in how many times will the alarm clocks ring together again?
You alarm clocks will ring together again in 30 minutes.
200
What is the quotient of 8(to the 8th) divided by 8(to the 6th)? Write your answer using exponents.
8(squared)
200
Write the expression using only positive exponents. 137(to the 0)
1
300
What is the greatest common factor of the numbers 36 and 48?
12
300
Write the fraction below in simplest form. Then, give another fraction equivalent to it. 18/81
2/9; an equivalent fraction might be 36/172 (ask your teacher for other answers)
300
What is the least common multiple of 20xy(squared) and 25xy(cubed)?
100xy(cubed)
300
What is the area of the rectangle whose width is x and whose length is 3x(squared)?
3x(cubed)
300
Find the quotient. Write your answer using only positive exponents. 5(to the 6th) divided by 5(to the 12th)
1/5(to the 6th)
400
What is the greatest common factor of the monomials: 300ab(to the 2nd) and 125a(to the 2nd)b
25ab
400
The average number of days with precipitation of 0.01 inch or more for San Francisco, California, for the month of April is 6. Write the fraction, in simplest form, of the days in April in San Francisco that have at least 0.01 inch of precipitation, on average.
1/5 of the days in April have at least 0.01 inch of precipitation
400
Order the numbers from least to greatest: 19/16, 59/44, and 71/60
71/60, 19/16, 59/44
400
What is the area of the rectangle whose width is x(to the 4th) and whose length is x?
x(to the 5th)
400
The diameter of a shielded telephone line cord is 10(to the negative 3rd) meter. Write this number using only positive exponents.
1/10(to the 3rd)
500
A food drive takes in a total of 62 cans of soup, 45 loaves of bread, 72 cans of spaghetti sauce, and 36 boxes of spaghetti. What is the greatest number of identical care packages that can be put together from the items obtained?
9 care packages
500
Write this fraction in simplest form. 24xy(to the 7th)/60x(squared)y(cubed)
2y(to the 4th)/5x
500
Ginny has two vegetable gardens. In the first garden, Ginny grows tomatoes every 2 years. In the second garden, Ginny grows tomatoes every 3 years. This year, Ginny grow tomatoes in both gardens. In how many years will she grow tomatoes in both gardens again?
6 years
500
Find the missing exponent: z(to the 12th) divided by z (to the x) = z(to the 8th)
x = 4 (z to the 4th power)
500
Find the quotient. Write your answer using only positive exponents. 25b(to the 9th) divided by b(to the -15th)
25b(to the 24th)
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