15. Kerry swims every 3 days and bikes every 5 days. If she swims and bikes today, how many days will pass before she does both on the same day again?
15
1. Evaluate the following expression: 24 ÷ (5 – 1) · 5² – 8
52
21. Evaluate the following expression: 6 ÷ (8 – 6) · 3² – 1
8
22. Which expression demonstrates the sum of 36 and a number?
36 + y
17. Pencils come in packs of 10. Erasers come in packs of 12. Phil wants to buy the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil. How many pencils and erasers should he buy?
6 packs of pencils and 5 packs of erasers
30. The store has p packages of batteries. Each package contains 12 batteries. If Joe bought 5 packages, how many batteries did he purchase?
60
14. What is the least common multiple of 3 and 8?
24
40. In GEMDAS, does multiplication always come before division? Explain
No, it goes left to right.
7. Which algebraic expression represents the verbal expression “subtract 6 from g”?
g – 6
34. What is the least common multiple of 3 and 8?
24
19. Factor the sum of terms as a product of the GCF and a sum: 32 + 48
16(2 + 3)
29. The cost for a group of people to go to the movies is given by the expression 9a + 5b – 7, where a is the number of adults and b is the number of children. What are the coefficients of this expression?
9 and 5
9. What are the coefficients of this expression: 8g + 7m?
8 and 7
13. Factor the sum of terms as a product of the GCF and a sum: 36 + 24
12(3 + 2)
11. Evaluate the expression “the quotient of a number and 7” when the number is 42
6
4. Which algebraic expression represents the verbal expression “five times the difference of a number and 4”?
5(n – 4)
3. If y number of students are trying out for the soccer team and only 12 students will be chosen, which expression demonstrates how many students will NOT be chosen?
y – 12
33. Factor the terms as a product of the greatest common factor (GCF) and the sum of 36 + 24
12(3 + 2)
10. Which term is the product: 15 x c = 45?
c
26. Write a simplified expression for 3(2x – 8)
6x – 24
23. There are x students trying out for a part in a chorus concert. Only 6 will be chosen. Write an expression that demonstrates how many students will not be chosen
x – 6
16. Find the greatest common factor of 16 and 24
8
25. What is the value of the expression 3x + y when x = 2 and y = 4?
10
12. Which of the following is true when f equals 5?
f + 8 = 15
38. Which term is the quotient in 20 ÷ x = 4?
20
37. Sarah has 24 fantasy books and 36 mystery books. She wants to arrange the books into stacks with the same number of books in each stack. What is the maximum number of books Sarah can put in each stack without any books left over?
12
18. Tours for the National Capitol leave every 15 minutes. Tours for the White House leave every 20 minutes. How often do the tours leave at the same time?
Every 60 minutes
6. Write a simplified expression for 4(6x – 5)
24x – 20
28. Write the following in exponential form: 2 · 2 · 2 · 5 · 5
5. What is the value of 6a - b when a = 3 and b = 5?
13
27. Which algebraic expression represents the verbal expression “subtract 9 from m”?
m – 9
36. Kerry swims every 3 days and bikes every 5 days. If she swims and bikes today, how many days will pass before she does both on the same day again?
15
32. The school is going on a field trip. Kid tickets cost $7, and adults cost $9. For every 5 paying kids, one gets in free. Using the expression 7k + 9a – k, determine the total price for all tickets when k = 7 and a = 4
85
2. Which expression shows the product of 16 and a number?
16n
35. Find the greatest common factor of 16 and 24
8
24. Which algebraic expression represents the verbal expression “two times the sum of a number and one”?
2(y + 1)
31. Which expression is equivalent to 3x + 5(x + 6)?
8x + 30
20. At a display booth at an amusement park, every visitor gets a gift bag. How often will a bag contain all three items?
Every 70 bags
8. Which is a way to write 4 · 4 · 4 · 6 · 6 · 6 · 6?
4³ · 6⁴
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