1 Mid-Chapter Quiz

Do you know HOW?

1. Draw the next figure in the pattern.

   
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Identify a pattern and find the next number in the pattern.

2. − 405 , − 135 , − 45 , − 15 , … negative 405 comma negative 135 comma negative 45 comma negative 15 comma dot dot dot
3. 2 x 3 , x 3 , x 6 , x 12 , ⋯ fraction 2 x , over 3 end fraction , comma , x over 3 , comma , x over 6 , comma , x over 12 , comma math axis ellipsis
4. 101, 92, 83, 74, …
5. 0.4, 1.2, 3.6, 10.8, …

Name the property of real numbers illustrated by the equation.

6. 7 ( x − y ) = 7 x − 7 y 7 open x minus y close equals 7 x minus 7 y
7. 7 ⋅ 1 = 7 square root of 7 dot 1 equals square root of 7
8. − 2 ⋅ ( − 1 2 ) = 1 negative 2 dot . open , negative , 1 half , close . equals 1
9. 2 . 3 ( 3 . 4 ⋅ 12 . 9 ) = ( 2 . 3 ⋅ 3 . 4 ) ( 12 . 9 ) 2 . 3 open 3 . 4 dot 12 . 9 close equals open 2 . 3 dot 3 . 4 close open 12 . 9 close

Write an algebraic expression to model each word phrase.

10. eight times the sum of a and b
11. four more than the product of x and y
12. six less than the quotient of d and g
13. ten less than twice the product of s and t

Simplify each expression.

14. − x 2 + 2 y − 3 x 2 + 10 negative , x squared , plus 2 y minus 3 , x squared , plus 10
15. − 2 ( d + 2 e ) + 5 ( 3 d − 8 e ) negative 2 open d plus 2 e close plus 5 open 3 d minus 8 e close
16. − ( a + 2 b ) + 4 ( a + 2 b ) − 2 ( a + 2 b ) negative open eh plus 2 b close plus 4 open eh plus 2 b close minus 2 open eh plus 2 b close
17. − 3 x + 14 x + 7 x 2 − 3 x + 4 x ( x + 1 ) negative 3 x plus 14 x plus 7 , x squared , minus 3 x plus 4 x open x plus 1 close

Identify a pattern by making a table of the inputs and outputs. Include a process column.

Evaluate each expression for a = 4, b = − 3 , b equals negative 3 comma  and c = 10.

20. 7 a − 5 b 7 eh minus 5 b
21. 4 a + b − | 2 c | 4 eh plus b minus vertical line 2 c vertical line
22. | a − b − c 2 | absolute value of . eh minus b minus , c squared , end absolute value ,

Write an algebraic expression to model each situation.

23. You have 16 tomatoes, and your tomato plants produce 5 tomatoes each day.
24. Your car's gas tank holds 25 gallons, and you use 1.5 gallons of gas each day.

Do you UNDERSTAND?

25. Writing Explain why every integer is also a rational number.
26. Reasoning What expression describes the number of squares in the nth figure?

    
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27. Reasoning Is there a Closure Property of Subtraction that applies to whole numbers? Explain.

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