Math 804 Review 8.1-8.4
Name:_____________________
Period:_______
Find each sum or difference.
1. (4y + 5) + (–7y – 1)
3. (6
– x + 1) – (–4 + 2
+ 8x)
2. (–
+ 3x) – (5x + 2
4. (
– 4w – 1) + (–5 + 5
)
– 3w)
Determine whether each expression is a polynomial. If it is a polynomial, find the degree and
determine whether it is a monomial, binomial, or trinomial.
5. 7
b+3
7. 6
k
–
b
6.
+
–9
Write each polynomial in standard form. Identify the leading coefficient.
8. 8
10. 13
– 15 + 5
–5+6
9. 10x – 7 +
+4
–x
11. BUSINESS The polynomial – 70 + 1500s – 10,800 models the profit a company makes on
selling an item at a price s. A second item sold at the same price brings in a profit of – 30 + 450s
– 5000. Write a polynomial that expresses the total profit from the sale of both items.
12. GEOMETRY The measures of two sides of a triangle are given. If P is
the perimeter, and P = 13x + 7y, find the measure of the third side.
Find each product.
13. 2h(–7
– 4h)
14. 6pq(3
+ 4q)
Simplify each expression.
15. 5w(–7w + 3) + 2w(–2
17. –2(3
+ 19w + 2)
+ 5m + 6) + 3m(2
16. 6t(2t – 3) – 5(2
+ 9t – 3)
+ 3m + 1)
Solve each equation.
18. 3(3u + 2) + 5 = 2(2u – 2)
19. 4(8n + 3) – 5 = 2(6n + 8) + 1
20. t(t + 4) – 1 = t(t + 2) + 2
21. NUMBER THEORY Let x be an integer. What is the product of twice the integer added to three
times the next consecutive integer?
Find each product.
22. (m + 4)(m + 1)
23. (t + 4)(t – 3)
24. (3c + 1)(c – 2)
25. (2x – 6)(x + 3)
26. (2m + 2)(3m – 3)
27. (w + 4)(
28. (m + 3)(
+ 3w – 6)
+ 3m + 5)
Use the rules for special products to find each product. Name the special product rule used.
29
30.
31. (5x - 2)(5x + 2)
32. (3g + 9h)(3g – 9h)
33.
34.
GEOMETRY Write an expression to represent the area of each figure.
29.
A = ½ (b1 + b2)h