Algebra 1 Mod 1 Review Worksheet
I. Graphs
Consider the graph below
Please do this worksheet in your
notebook, not on this paper.
A) For the solid line; calculate the average speed from:
1) 1:00 pm to 3:00 pm.
2) 4:30 pm to 7:00 pm
B) For the broken line; calculate the average speed from:
1) 1:00 pm to 5:00 pm
2) 6:15 pm to 8:30 pm
C) Which line shows the car that drove for the greatest period of time?
D) Which line show the car that probably stopped driving first?
For the three graphs below, determine which graph represents a piecewise linear function, which
represents a quadratic function and which represents an exponential function.
A)
C)
B)
II. Identifying Functions from data sets.
For each data set below, determine if the set represents a linear, quadratic or exponential function.
Explain how you know.
A)
B)
x
1
2
3
4
5
x
1
2
3
4
5
y
2
8
26
80
242
y
11
13
17
23
31
C)
x
y
1
4
2
0
3
-4
4
-8
5
-12
III. Polynomials
A) classify the following polynomials by both degree (linear, quadratic, cubic, quartic or number) and
number of terms (monomial, binomial, trinomial or polynomial)
i) 5x4
ii) -3x2 + x
iii) 7x6 – 3x2 – 1
iv) 6 + 4x2 -11x3 + 9x
B) Perform the indicated operations with the given polynomials.
i) (8x2 – 3x + 2) + (3x – 2x2 + 9)
iii) (
248𝑥 66𝑦 77
197𝑤23 𝑟 43
0
)
ii) 2(4x8 – 3x5 + 4x) – (9x – 6x5 + x6)
iv) (4x – 5y + 6z)3 – (6x + 7y – 3z)2
v) (3x2 – 5x)(2x4 – 6x3 + x) vi) (x -1)3
vii) (x -1) (x10 + x9 + x8+ x7 + x6+ x5 + x4 + x3 + x2 + x + 1) viii) (4x – 5)(3x + 7) ix) (2x – 3)2
C) Find the area of the rectangle with sides of 3x + 2 cms and 5x – 1 cms. Draw the picture.
D) Find the volume of the rectangular prism with a length of 2x + 1 in. width of x + 2 in. and height of x
– 1 in. Draw the picture.
IV. Number Systems
A) True or False if false state a counter example that shows the statement to be false.
1) All whole numbers are natural numbers.
2) All natural numbers are rational.
3) All integers are whole numbers.
4) All irrational numbers are real numbers.
B) Name two different ways to express an irrational number.
C) From the list of the following numbers, circle the irrational numbers and underline the
rational numbers.
3
1 8.23…
0
- 55
𝜋
22 √16
−
½ 9.121314…
√12
√0
5
̅̅̅̅
8.314
5. 23
1.328̅