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Algebra B
Unit 5 – Proportional Reasoning
Name ___________________________
Date ______________Period_________
5-9
Review/Preview - How can I use proportionality?
1. Find each of the following products by drawing and labeling a generic rectangle, by using the
Distributive Property, or by applying FOIL.
a) (x + 2)(x + 8)
b) (2m + 30)(m + 20)
c) x ( y + 10)
d) (2x + 3)(3x + 4)
2. Did you know that the Statue of Liberty was a gift from France (Est-ce que
vous saviez que La Statue de la Liberté était un cadeau de la France)? It
was shipped to New York and reassembled in 1886. The distance from the
base to the torch is 152 feet. The gift store sells a scale model of the statue
measuring 18 inces (1.5 feet) tall.
a) If the length of the index finger on the real statue is eight feet,
what is its length on the scale model? Show your thinking.
b) Alex wanted to know the length of the right arm on the statue. He measured the model, and the
right arm was five inches long. What is the length of the arm on the statue? Show your
thinking.
3.
Solve each of the following equations for x. Then check each solution. Show your thinking.
a)
x
7

16 10
b)
6 3

15 x
c)
2 x 12

5
8
d)  8 
2
x
4. Graph the lines y = – 4x + 3 and y = x – 7 on the same set of axes. Then find the solution , written as an
ordered pair. Make a complete graph. Verify the solution algebraically.
5. Change each equation below into y = mx + b form.
a) y – 4x = – 3
b) 3 y – 3x = 9
c) 3 x + 2 y = 12
d) 2 ( x – 3) + 3 y = 0
6. Solve each equation.
a.
2x + 9 = – 25
b.
3x – 4 + x = 15
c.
1 – 2 ( 3x – 5 ) = 11
d.
–2 ( x – 2 ) = 11 + 6x
e.
6 ( x + 4 ) = 3 ( 5x + 2 )
f.
4 e x  14  6