Download Chapter 10 Practice Test

Math 107 Chapter 10 Practice Test
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Solve.
1) Find the area and perimeter of the rectangle. Simplify each expression.
1)
18 - 1 ft
18 + 1 ft
Use radical notation to rewrite the expression. Simplify, if possible.
2) 361/2
2)
Perform the indicated operation and, if possible, simplify. Assume that all variables represent positive real
numbers.
3) 3 2 + 7 18
3)
Find the indicated root, or state that the expression is not a real number.
3
4) -125
4)
Rewrite the expression with a positive rational exponent. Simplify, if possible.
5) 9-1/2
5)
Evaluate.
6) i25
6)
Provide an appropriate response.
7) Let f(x) = 2x - 5. Find f(7).
7)
Solve the radical equation.
8) 9 + 5x - 9 = x
8)
Perform the indicated operation. Write the result in the form a + bi.
9) 5i + (-2 - i)
9)
Add or subtract as indicated. You will need to simplify terms to identify like radicals.
10) -5 18 - 2 8 - 3 200
10)
Find the cube root.
11)
3 1
125
11)
1
Rationalize the denominator and simplify.
8
12)
5x
12)
Use the quotient rule to simplify. Assume all variables represent positive real numbers.
7
13)
81
Find each product. Write the result in the form a + bi.
14) (7 - 6i)(8 + 5i)
13)
14)
Divide and, if possible, simplify.
192x11
15)
3x
15)
Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in
radical notation.
5
2
16)
16)
7
2
Simplify the expression.
17) - 49x4
17)
Use radical notation to rewrite the expression. Simplify, if possible.
18) 2434/5
18)
Simplify the expression.
19) x2 + 14x + 49
19)
Simplify the expression. Assume that variables can represent any real number.
20) 150x2
20)
2
Answer Key
Testname: MATH 107 CHAPTER 10 TEST
1) area: 17 sq ft, perimeter: 12 2 ft
2) 6
3) 24 2
4) -5
1
5)
3
6) i
7) 3
8) {18}
9) -2 + 4i
10) -49 2
1
11)
5
12)
8 5x
5x
13)
7
9
14) 86 - 13i
15) 8x5
16)
35
4
17) - 7x2
18) 81
19) x + 7
20) 5 x 6
3