AD # _____
Ch.3 Practice Test
1.
Name:______________________________
Jessie made some multi-story houses using toothpicks.
`
Figure 1
Figure 2
Figure 3
a.
She thinks she will need 32 toothpicks to make the next house in the pattern
(Figure 4). Do you think Jessie is correct? ___________.
b.
Justify your answer by:
i.
ii.
Drawing the 4th house (draw Figure 4 above next to Figure 3).
Completing the table.
Figure #
#toothpicks
iii.
c.
0
1
2
3
4
5
Graphing the pattern. Label the axes and scale appropriately.
Explain how each of the representations above confirms your answer is correct.
Drawing:
Table:
Graph:
d.
Find a rule for the number of toothpicks in any figure: y = ______________.
How many toothpicks in Figure 50? ______ Figure 150? _______
2.
Wiley has a new part-time job bagging groceries after school. The equation y = 10x + 50
shows the relationship between his hours of work (x) and the amount of money in his
bank account (y).
a.
How much money did he have in his bank account before he started working? How can
you tell from the equation?
b.
How much is Wiley earning per hour? Justify your answer.
c.
How many hours until he has $500 for those two front row seats at the Bieber concert?!
d.
Who is going to the concert with him?
3. Consider the statements and algebraic expressions below.
Part 1: Match the rules stated in words with one of the algebraic expressions listed on the right.
1)
5x – 6
a.
two more than twice a number
2)
6 – 5y
b.
six less than five times a number
3)
2( t + 2)
c.
twice the sum of a number and negative seven
4)
2( m + (–7))
5)
2z+2
6)
–7 + 2w
Part 2: Which three algebraic expressions do not have a match in words? Translate each of
these expressions into words.
4.
Bamboo is a fast growing plant. One type, Black Bamboo, grows at a rate of 11 cm per
month, while another, Golden Bamboo, grows at a rate of 1.2 meters per year. Which
bamboo grows faster? Why?
5.
Adam is in Algebra 2. He solved the equation 2x2 – 5x – 13 = 20 and got the answer
x = –3, but he’s not feeling very confident. Decide whether or not he is correct and
convince him of your position.
6.
Solve:
7.
a)
3x – 7 = 3x + 1
b)
-2x – 5 = -4x + 2
c)
2 + 3x = x + 2 + 2x
d)
-(x – 2) = x + 2
Complete the chart. Leave answers in terms of π.
Sketch
(with radius)
Diameter
Circumference
Area
a.
18 cm
b.
20π ft
c.
25π u2
8.
Define a variable, write an equation, solve, and answer in a sentence.
a)
Maddie is thinking of a number. Seven more than five times her
number is equal to her number decreased by five. What is Maddie’s
number?
b)
Jacob is seven years younger than Noah. Morgan is twice as old as
Jacob. The sum of their ages is 35. Find their ages and determine who
is the oldest?
9.
Simplify:
4 - 2(5 + 3)
6× 2
a)
3 + 6 - 8×2
b) 5 2 - (5 - 7)2 + 2
c)
d)
11(x + 3)
e)
f) -2x(x - 4)
g)
3x2 - 2x + 1 - 8x2 – 6
h) -(2x + 7) + x + 1
4(x - 5)
i) a + b + c – b