Math Problem Statement

1.      Simplify each of the following COMPLETELY ;

A.    4ab2 x 8a2b      B. 4ab2 ÷ 8a2b       C. 4ab2 – 8a2b       D. 18p3 – 8pq2   2.      Simplify completely ;    A.        B.    3.      Simplify  .    Give your answer in;

i.                  Improper Fraction        ii. Mixed Fraction        iii. Decimal        iv. Percentage   4.      Make ‘u’ the subject in    5.   If          Find x   6.    If       Find x   7.      Find the value of   x   if      is greater than    by  5   8.      Evaluate   9.      Factorize EACH of the following expressions Completely

A.    36p2  -  49q2      B. 3x 2 – 2x – 5       C**.  152 - 112       D.  16a2  -  1**     10.  How many buckets of water will fill a water tank that holds a maximum of 675 liters, if the bucket holds 15 liters of water at a time   11.  Find  y  when  x = 8  and     12.  Re-Write EACH of the following in other ways that represents the same number or unit

A.   103        B. 10-2      C. 4½     D. cm-2     E. 27-1/3     F. kg/m3       G. 286 x 10-5   13.  Evaluate EACH of the following ;    A. (-5)3      B. -(5)3       C. -(-5)3

     

14.  If   ,  then express m in terms of r   15.  Simplify each of the following expressions;

i. 8x5y3 (20xy2 x 3y4)    ii. 8x5y3 + 20xy2 – 3xy4    iii. 5a x 3a2   iv. 5a + 3a2    v. 5a3 ÷ 3a4     16.  The sum of two numbers is 81. If the second number is twice the first, find the second number.   17.  Ama is 9 years older than Kwame. If Kwame is 18 years old, find the ratio of the age of Kwame to that of Ama.      

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Factorization
Quadratic Equations
Fractions
Percentage
Decimal

Formulas

Difference of squares
Quadratic formula
Percentage formula

Theorems

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Suitable Grade Level

Grades 7-9