Math 102 Chapter 5 Practice Test
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Graph the equation. Find seven solutions in your table of values for the equation by using integers for x, starting
with -3 and ending with 3.
1) y = x2 + 2
1)
y
x x2 + 2
-3
-2
-1
0
1
2
3
12
8
4
-4
-2
2
4
x
-4
-8
-12
Divide the polynomial by the monomial.
15r8 - 25r3
2)
5
2)
Divide the monomials.
-32x5
3)
8x4
3)
Find the area of the shaded region. Write the answer as a polynomial in descending powers of x.
4)
4)
3x - 7
3x + 7
Add the polynomials.
5) (2x2 - 7x + 8) + (8x2 - 7x + 1)
5)
Find the product.
6) (x2 - 6y2)2
6)
1
Provide an appropriate response.
7) Divide using synthetic division: (-3x3 - 16x2 + 7x - 30) ÷ (x + 6).
7)
Find the product.
8) (8x - 1)(x2 - 2x + 1)
8)
Divide using the quotient rule.
810
9)
87
9)
Write the number in decimal notation without the use of exponents.
10) 5.515 x 10-6
Divide as indicated.
p2 + 3p - 50
11)
p+9
10)
11)
Write the expression with positive exponents only. Then simplify, if possible.
12) -3-4
12)
Use the FOIL method to find the product. Express the product in descending powers of the variable.
13) (x - 5)(x2 + 8)
13)
Identify the polynomial as a monomial, binomial, or trinomial. Give the degree of the polynomial.
14) 16x5 + 6x4 - 7x3
14)
Multiply using the rule for finding the product of the sum and difference of two terms.
15) (4 - 9r)(4 + 9r)
Simplify the expression using the quotients-to-powers rule.
3 5
16)
y2
Simplify the exponential expression.
2p-5
17)
9p5
15)
16)
17)
Use synthetic division to divide.
18) (-5x3 - 7x2 + 5x - 2) ÷ (x + 2)
18)
Divide and check the answer.
18x12
19)
6x4
19)
2
Solve.
20) The square garden in the figure measures x yards on each side. The garden is to be
expanded so that one side (the top of the figure) is increased by 6 yards and the
adjacent side (the right side of the figure) is increased by 2 yards. Write a polynomial
in descending powers of x that expresses the area of the larger garden. Then use the
polynomial to determine the area of the larger garden if the original garden measures
5 yards on a side.
6 yards
2 yards
3
20)
Answer Key
Testname: MATH 102 CHAPTER 5 TEST
1)
y
12
8
4
-4
-2
2
4
x
-4
-8
-12
2) 3r8 - 5r3
3) -4x
4) 6x2 - 49
5) 10x2 - 14x + 9
6) x4 - 12x2y2 + 36y4
7) -3x2 + 2x - 5
8) 8x3 - 17x2 + 10x - 1
9) 83
10) 0.000005515
4
11) p - 6 +
p+9
12) -
1
81
13) x3 - 5x2 + 8x - 40
14) Trinomial, degree 5
15) 16 - 81r2
16)
243
y10
17)
2
9p10
18) -5x2 + 3x - 1
19) 3x8
20) x2 + 8x + 12; 77 square yards
4