1 Mid-Chapter Quiz

Do you know HOW?

Write an algebraic expression for each phrase.

1. a number n divided by 4
2. 2 less than the product of 5 and n
3. The table shows how the total cost of a field trip depends on the number of students. What is a rule for the total cost of the tickets? Give the rule in words and as an algebraic expression.

   Field Trip

   Number of Students	Total Cost
   20	( 12 · 20 ) + 150 open 12 middle dot 20 close plus 150
   40	( 12 · 40 ) + 150 open 12 middle dot 40 close plus 150
   60	( 12 · 60 ) + 150 open 12 middle dot 60 close plus 150

4. The sign shows the costs associated with a whitewater rafting trip. Write an expression to determine the cost of 3 children and 1 adult renting equipment for a whitewater rafting trip that lasts h hours.

   Whitewater Tours

   Adult Ticket	$53
   Child Ticket	$32
   Equipment Rental	$5 per hour

Simplify each expression.

5. 24 ÷ ( 3 + 2 2 ) 24 divides open 3 plus , 2 squared , close
6. 144 square root of 144

Evaluate each expression for the given values of the variables.

7. 3 x · 2 ÷ y ; 3 x middle dot 2 divides y semicolon  x = 3 and y = 6
8. ( 4 a ) 3 ÷ ( b − 2 ) ; open 4 eh close cubed . divides open b minus 2 close semicolon  a = 2 and b = 4
9. Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest.

   105 , − 4 , 4 3 square root of 105 , comma , minus 4 comma , 4 thirds

10. Estimate 14 square root of 14  to the nearest integer.
11. What property is shown in the following equation?

    ( 5 + 8 ) + 11 = 5 + ( 8 + 11 ) open 5 plus 8 close plus 11 equals 5 plus open 8 plus 11 close

12. Use the table below. Find the total cost of 2 salads, 1 sandwich, and 2 drinks. Use mental math.

    Lunch Menu

    Salad	$6.25
    Sandwich	$5.50
    Drink	$2.75

Do you UNDERSTAND?

13. What word phrases represent the expressions − 2 + 3 x negative 2 plus 3 x  and 3 x + ( − 2 ) ? 3 x plus open negative 2 close question mark  Are the two expressions equivalent? Explain.
14. Use grouping symbols to make the following equation true.

    4 2 + 2 · 3 = 54 4 squared , plus 2 middle dot 3 equals 54

15. Choose the correct word to complete the following sentence: A natural number is (always, sometimes, never) a whole number.
16. How many natural numbers are in the set of numbers from − 10 negative 10  to 10 inclusive? Explain.
17. What is the simplified form of 3 a b c a b c , fraction 3 eh b c , over eh b c end fraction . comma  when a b c ≠ 0 ? eh b c not equal to 0 question mark  Explain using the properties of real numbers.
18. Reasoning Are the associative properties true for all integers? Explain.
19. Use the Commutative Property of Multiplication to rewrite the expression ( x · y ) · z open x middle dot y close middle dot z  in two different ways.

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