Question

add the expressions.

1. \\((2x + 5) + (x + 4) =\\)
2. \\((3y - 5) + (2y + 4) =\\)
3. \\((4a + 12) + (-6a - 13) =\\)

subtract the expressions.

1. \\((3x + 3) - (4x + 6) =\\)
2. \\((8y - 7) - (y - 4) =\\)
3. \\((3b + 6) - (-2b + 7) =\\)

factor each expression.

1. \\(16y - 8\\)
2. \\(18x^2 - 9x\\)
3. \\(-12c - 8\\)

a simple sentence, or independent clause, contains a subject and a predicate and expresses a complete thought. a compound sentence contains two simple sentences joined by a conjunction. read each sentence. write s if the sentence is simple. write c if the sentence is compound.

1. ______ aliya and her sister isobel have completely different interests.
2. ______ the telephone rang, and the doorbell buzzed at the same time.
3. ______ both the canoe and the sailboat belong to uncle emory and aunt lola.
4. ______ you bring the sandwiches, and ill bring the chips and fruit.
5. ______ you should get your bike and join our trip.
6. ______ camilla stayed longer than usual.
7. ______ really great movies are hard to find, but im not very picky.
8. ______ luis goes home and studies every day after school.

Explanation:

Simplify algebraic addition and subtraction

Combine like terms for questions 1 to 6:

1. \((2x + 5) + (x + 4) = 2x + x + 5 + 4 = 3x + 9\)
2. \((3y - 5) + (2y + 4) = 3y + 2y - 5 + 4 = 5y - 1\)
3. \((4a + 12) + (-6a - 13) = 4a - 6a + 12 - 13 = -2a - 1\)
4. \((3x + 3) - (4x + 6) = 3x + 3 - 4x - 6 = -x - 3\)
5. \((8y - 7) - (y - 4) = 8y - 7 - y + 4 = 7y - 3\)
6. \((3b + 6) - (-2b + 7) = 3b + 6 + 2b - 7 = 5b - 1\)

Factor algebraic expressions

Find the greatest common factor (GCF) for questions 7 to 9:

1. \(16y - 8 = 8(2y - 1)\)
2. \(18x^2 - 9x = 9x(2x - 1)\)
3. \(-12c - 8 = -4(3c + 2)\)

Classify sentence structures

Identify simple (S) and compound (C) sentences for questions 10 to 17:

1. "Aliya and her sister Isobel have completely different interests." -> One independent clause with a compound subject. (S)
2. "The telephone rang, and the doorbell buzzed at the same time." -> Two independent clauses joined by "and". (C)
3. "Both the canoe and the sailboat belong to Uncle Emory and Aunt Lola." -> One independent clause with compound subject and compound object. (S)
4. "You bring the sandwiches, and I'll bring the chips and fruit." -> Two independent clauses joined by "and". (C)
5. "You should get your bike and join our trip." -> One independent clause with a compound predicate. (S)
6. "Camilla stayed longer than usual." -> One independent clause. (S)
7. "Really great movies are hard to find, but I'm not very picky." -> Two independent clauses joined by "but". (C)
8. "Luis goes home and studies every day after school." -> One independent clause with a compound predicate. (S)

Answer:

No.	Answer
2	\(5y - 1\)
3	\(-2a - 1\)
4	\(-x - 3\)
5	\(7y - 3\)
6	\(5b - 1\)
7	\(8(2y - 1)\)
8	\(9x(2x - 1)\)
9	\(-4(3c + 2)\)
10	S
11	C
12	S
13	C
14	S
15	S
16	C
17	S