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Chapter 1 Review (Advanced) Numerical Expressions and Factors

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Evaluate the expression.
 

 1. 

mc001-1.jpg
a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 

 2. 

mc002-1.jpg
a.
8
c.
236
b.
584
d.
104
 

 3. 

mc003-1.jpg
a.
65
c.
74
b.
632
d.
2
 

 4. 

Which operation should you perform first when you evaluate the following expression?
     15 – 8 ¸ (4 – 2) ´ 3
a.
Subtract 8 from 15.
c.
Subtract 2 from 4.
b.
Divide 8 by 4.
d.
Multiply 2 by 3.
 
 
Write the prime factorization of the number.
 

 5. 

98
a.
mc005-1.jpg
c.
mc005-3.jpg
b.
mc005-2.jpg
d.
mc005-4.jpg
 

 6. 

Find the missing digit to make 18,59_ divisible by 9.
a.
3
b.
4
 
 
Simplify.
 

 7. 

mc007-1.jpg
a.
3
c.
10
b.
24
d.
9
 

 8. 

mc008-1.jpg
a.
404
c.
124
b.
352
d.
98
 

 9. 

A northbound bus and a southbound bus are at a bus stop at the same time. The northbound bus returns to the bus stop every 20 minutes and the southbound bus returns to the bus stop every 25 minutes. How long will it be before both buses are the bus stop at the same time again?
a.
50 minutes
c.
200 minutes
b.
100 minutes
d.
500 minutes
 

 10. 

Which operation should you perform first when you evaluate the following expression?
     15 – 8 ¸ (4 – 2) ´ 3
a.
Subtract 8 from 15.
c.
Subtract 2 from 4.
b.
Divide 8 by 4.
d.
Multiply 2 by 3.
 

 11. 

The town administrators separate the 84 houses in a neighborhood into equal groups to do safety inspections. Which of the following groupings is not possible?
a.
Three groups of 26 houses
c.
Six groups of 14 houses
b.
Four groups of 21 houses
d.
Seven groups of 12 houses
 
 
Name the word that matches the definition given.
 

 12. 

The ____ of a power is the repeated factor.
a.
power
d.
perfect square
b.
base
e.
numerical expression
c.
exponent
f.
evaluate
 

 13. 

The ____ of a power indicates the number of times the base is used as a factor.
a.
power
d.
perfect square
b.
base
e.
numerical expression
c.
exponent
f.
evaluate
 

 14. 

The square of a whole number
a.
power
d.
perfect square
b.
base
e.
numerical expression
c.
exponent
f.
evaluate
 

 15. 

A product of repeated factors
a.
power
d.
perfect square
b.
base
e.
numerical expression
c.
exponent
f.
evaluate
 

 16. 

An expression that contains only numbers and operations
a.
power
d.
perfect square
b.
base
e.
numerical expression
c.
exponent
f.
evaluate
 

Numeric Response
 
 
Evaluate the expression.
 

 17. 

23 + (8 –4) ¸ 4

 

 18. 

nr018-1.jpg

 

 19. 

64 ¸ 16 + 5 ´ 3

 

 20. 

nr020-1.jpg

 

 21. 

A florist is making flower arrangements with 32 roses and 40 tulips. Each arrangement must be identical. What is the greatest number of arrangements the florist can make if all of the flowers are used?

 

Short Answer
 

 22. 

A student evaluated the expression sa022-1.jpg and came up with an answer of 402. Insert parentheses to make the student’s answer correct.
 

 23. 

Consider the equation sa023-1.jpg. The missing number is between what two consecutive whole numbers? Explain your reasoning.
 

 24. 

The table shows several powers of 3. Copy and complete the table. Describe what happens to the value of the power as the exponent decreases. Use this pattern to find the value of sa024-1.jpg.
Power
sa024-2.jpg
sa024-3.jpg
sa024-4.jpg
sa024-5.jpg
sa024-6.jpg
sa024-7.jpg
Value
729
243
    
 

 25. 

You are making stacks of coins using 75 nickels, 60 dimes, and 31 quarters.
a.   Explain why you cannot make identical stacks of coins without any coins left over.
b.   What is the greatest number of coin stacks you can make with the least number of coins left over? Explain how you found your answer.
 

 26. 

Write a set of three numbers that have a GCF of 14. What procedure did you use to find your answer?
 

 27. 

A home improvement store is giving away 10% off coupons to every 10th customer, 20% off coupons to every 25th customer, and a free workshop lesson to every 100th customer. What customer will be the first to receive all three prizes?
 

 28. 

Tracy has 66 green beads, 99 red beads, 44 blue beads, and 22 yellow beads that she uses to make matching bracelets.
a.   If Tracy uses only yellow and green beads, what is the greatest number of matching bracelets that she can make and not have any beads left over?
b.   If Tracy uses yellow, red, and blue beads, what is the greatest number of matching bracelets that she can make and not have any beads left over?
c.   How many matching bracelets can Tracy make using all four colors with no beads left over?
d.   If she uses all four colors with no beads left over, how many of each color bead will there be in each bracelet?
 



 
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