6th Grade Math Textbook, Progress

Problem-Solving Applications: Mixed Review

14-11

Solve each problem and explain the method you used.

Members of the Turbo-Math Club write

equations for each other.

0 1. Sherman writes this equation:




w

4


 22 36. What is the value of w?

0 2. Sarah writes this equation:

3 dd3. Does this equation

have one unique solution? Explain.

0 3. 
ABChas coordinates A(2, 4), B(6, 6),

and C(7, 2). A translation maps point Ato

A′(3, 6). Find the coordinates of B′and C′

under this translation.

0 4. Oxanna notices that these two equations both

include the variable f: f 72 89, 2f34.

Does fhave the same value in each equation?

0 5. Ray solves this equation: g 5 15. Then he

finds the value of h in this equation: hg75.

What is the value of h?

0 6. Find the value of jin this equation: (j10)  27 27.

0 7. Which equation has a solution greater than 55? less than

or equal to 8? 16 


a

2


12; 16 


2

c


12.

0 8. The ages of the four Kelly children form a sequence.

If the ages of the three youngest are 9 months, 3


1

2 


years, and 6


1

4 
years, how old is the eldest?

0 9.The ages of Mrs. Lane (x) and her daughter (y) are

related by the equation y


5

6 
x^16 

1

2 
. Mrs. Lane

is 27 years old. How old is her daughter?

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