Education.com
Try
Brainzy
Try
Plus

Single-Variable Expressions Practice Questions (page 2)

based on 1 rating
By
Updated on Oct 3, 2011

Practice 2

  1. Replace z with 9 and multiply:  

    –9(9) = –81

  2. Replace u with 7:  

    4(7) – 3  

    Multiplication comes before subtraction in the order of operations, so multiply next:   4(7) = 28   The expression becomes 28 – 3.  

    Subtract: 28 – 3 = 25.

  3. Replace g with –5:  

    –8 + 2(–5)  

    Multiply before adding:   2(–5) = –10  

    The expression becomes –8 + –10.  

    Add: –8 + –10 = –18.

  4. Replace k with 20:    

    Multiply before adding:    

    The expression becomes 5 + 30.  

    Add: 5 + 30 = 35.

  5. Replace x with 1:  

    12(4 – 1)  

    Subtraction is in parentheses, so subtract before multiplying:  

    (4 – 1) = 3  

    The expression becomes 12(3).  

    Multiply: 12(3) = 36.

  6. Replace q with –6:   (–6)2 + 15  

    Exponents come before addition in the order of operations, so handle the exponent first:  

    (–6)2 = 36  

    The expression becomes 36 + 15.  

    Add: 36 + 15 = 51.

  7. Replace m with 4:  

    –8(4)2  

    Exponents come before multiplication, so handle the exponent first:  

    42= 16  

    The expression becomes –8(16).  

    Multiply: –8(16) = –128.

  8. Replace d with 12:  

    4(12) ÷ 3 – 20  

    Multiply first:   4(12) = 48  

    The expression becomes 48 ÷ 3 – 20.  

    Division comes before subtraction:  

    48 ÷ 3 = 16   We are left with 16 – 20.  

    Subtract: 16 – 20 = –4.

  9. Replace b with –2:  

    (2(–2) + 1)2  

    There is multiplication and addition inside the parentheses. Multiply first:  

    2(–2) = –4  

    The expression becomes (–4 + 1)2.  

    Because the addition is in parentheses, it must be done before the exponent is handled:  

    –4 + 1 = –3  

    We are left with (–3)2.  

    Finally, square –3: (–3)2 = 9.

  10. Replace a with 3:  

    –5(3(3)2 – 24)  

    There is multiplication, an exponent, and subtraction inside the parentheses. Because exponents come before multiplication and subtraction, handle the exponent first:  

    (3)2 = 9  

    The expression becomes –5(3(9) – 24).  

    Multiplication inside the parentheses comes next:  

    3(9) = 27  

    The expression becomes –5(27 – 24).  

    The subtraction is in parentheses, so it must be done before the multiplication:  

    27 – 24 = 3   We are left with –5(3).  

    Multiply: –5(3) = –15.

View Full Article
Add your own comment