Algebra 1
Individual Review Open Response Quarter 3 Midterm
Name ________________________________________
1) Daren is opening a store that sells wooden mats. He invested $10 for marketing and raw materials cost $8 for each
mat he makes. Daren can sell his mats for $9 per mat. He will break even once he makes and sells a certain number
of mats, with identical expenses and sales. How many mats would that take?
2) Write the inequality of the line.
____________________
3a) Graph the systems of inequalities.
3b) Give one solution point. ___________
y  2 x  4
y  1 / 3x  3
Simplify. Answers can only have positive exponents.
x 6 y10
x6 y 4
4) x 8 y 2
5)
1
7 5
x y
6)
7) (7 x8 )(5 x 7 )
9)
c 3 d 4
c 4 d 6
10) ( x 4 y 9 )( x9 y)
35x5 y14
11)
5 x8 y 8
12) (2c 6 )( a 5c 4 )(5a 7 )
13) Simplify. Write your answer in correct scientific notation form.
(6 105 )(3 102 )
14) 5 x 2  4 x  2 x 3  6 x  2 x 2
a) Write the polynomial in standard form. _________________________________________________
b) Tell the degree __________________
c) Describe as a monomial, binomial, trinomial _______________________________________
15) Multiply.
4 x3 (3x 4  2 x 2  5)
16) Factor by finding the greatest common factor. (GCF)
16 x 2  4 x  12
17) Multiply. ( y  5)( y  2)
18) Multiply. (4 x  2)( x  6)
19) ( x  2) 2
20) Find the area of the rectangle.
Factor.
21)
x 2  3 x  18
23) x 2  7 x  12
22) x 2  9 x  20
24) x 2  64