6 Weeks Study Guide Part 1
1. Phone-R-Us is a cell phone company that offers 2 cell phone plans, A and B. Both plans offer 600
free minutes per month, but plan A charges $ 60 per month and $0.45 for each additional
minute, while plan B charges $ 65 per month and $0.40 for each additional minute. Which
inequality shows the number of minutes, x, that can be used in order to make plan B the better
plan for that month?
A. 60 + .45( X – 600) > 65 + .40( X -600)
B. 60 + .45( X – 600) < 65 + .40( X -600)
C. 60 + .45X > 65 + .40 X
D. 60 + .45X > 65 + .40 X
2. Explain why your answer works.
3. Use the model shown to solve for the variable.
=
Shaded Rectangle= positive b
Shaded square = positive
Solid square = negative
Record your answer in the bubbles. Be sure to use the correct place value.
4. A. Solve for the variable of the following equation:
8x + 16 = 6(3x + 1)
B. Explain how you solved for x.
5. Which inequality represents all numbers x on a number line that are closer to 7 than to 12?
A 7 − x ≤ x − 12
B x − 7 < 12 − x
C 7 − x < x − 12
D x − 7 ≤ 12 − x
6. Express the following situation as a mathematical equation.
Jillian climbed 5 meters then descended 2 meters, and ended at twice the elevation at which she
started. At what elevation did Jillian start?