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Federal Way Public Schools  
Assessment
Lessons 19-21		 Algebraic Sense


Name:
Teacher:

Lesson 19

  1.

What two numbers come next in this number pattern?

11
22
44
88
176
____
____

A. 222, 333
B. 352, 704
C. 99, 199
D. 187, 198

  2.

Choose the correct linear equation for the table given.

X
Y
1
2
3
5
5
8

A. 3Y = 2X + 1
B. 3Y = 2X - 1
C. 3X = 2Y + 1
D. 3X = 2Y - 1

3.

What two numbers come next in this number pattern? Explain in detail the rule you used in order to find the next two numbers. Use words, numbers, and/or pictures.

1
1
2
3
5

_____

_____

A. 7, 9
B. 8, 13
C. 6, 10
D. 5, 6

Explain:

Lesson 20

  4.

If x = 4, which number sentence is true?

A. 12 = 4x - 5
B. 12 > 4x - 5
C. 12 < 4x - 5
D. 12 < 4x -5
 
  5.

Michael is a camp counselor and took 35 kids to the baseball game. The children were able to order what they wanted to eat and drink and then Michael had to pay the bill. The people at the ballpark told Michael that he would only have to pay 50% of the total and the rest of the bill will be paid for by the park. Michael needs to set up an equation to help solve this problem.

  • What is the correct equation Michael should solve using the information below?
Number of Children Ordering
Item
Cost Per Item
25
hot dogs
$1.25
35
soft drinks
$.75
30
popcorn
$1.00

A. 25($1.25) + 35($.75) + 30($1.00) = X
B. 25($1.25) + 35($.75) + 30($1.00) = X(.50)
C. (25+$1.25) + (35+$.75) + (30+$1.00) = X(.50)
D. 25($1.00) + 35($.75) + 30($1.25) = X/.50

6.

Simplify the following expression, when a=4.

3(8 - a) - 1

A. 11
B. 12
C. 23
D. 35
Lesson 21
 7.

If 6p - 11 = 13, then p is:

A. 1/3
B. 4
C. 5
D. 6

8.

If 3/4(x +3) = 9, then x is:

A. 1/4
B. 0
C. 7
D. 9

9.

If 8y + 15 > 39, then y is:

A. y > 3
B. y < 3
C. y < -3
D. y > 3

10.

If Gunnar gives me a cookie, I will have twice as many as he. If I give Gunnar a cookie, we will have the same number of cookies.

  • How many cookies do I have?
  • How many cookies does Gunnar have?
  • Explain in detail how you found your answer using words, number, and/or pictures.


11.

Today Connie is three times as old as Grace. Six years from now, Connie will be twice as old as Grace.

  • How old is Connie today?
  • Explain in detail how you found your answer using words, number, and/or pictures.


12.

A bowling ball and a bag together cost $88. The ball costs three times as much as the bag.

  • How much does each cost?
  • Explain in detail how you found your answer using words, numbers, and/or pictures.


13.

Marissa and Josh were picking up golf balls that had been hit into the woods. They picked up 22 golf balls in all, and Josh picked up 6 more than Marissa.

  • How many did each of them pick up?
  • Explain in detail how you found your answer using words, numbers, and/or pictures.


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