Chapter 1

Name the operation that should be performed first. Do not perform the calculations. A) \(4+8 \div 2 \cdot 2\) B) \(7-9+15\) C) \(5-2(3+4)\) D) \(6+7 \cdot 3\) E) \(18-2[4+(3-2)]\) F) \(\frac{5-6 \cdot 7}{2}\)

Match the term with a like term from the column on the right. ___ \(8 n\) a) \(-3 z\) b) \(5 x\) c) \(2 t\) d) \(-4 m\) e) 9 f) \(-3 n\)

In each of Exercises \(1-4\) match the description with the appropriate number from the list on the right. 1.____ A factor of 35 A. 2 B. 7 C. 60 D. 65

Complete each sentence using one of these terms: commutative, associative, or distributive. \(8+t\) is equivalent to \(t+8\) by the ________ law for addition.

Classify each of the following as either an expression or an equation. $$ 4 x+7 $$

Name the operation that should be performed first. Do not perform the calculations. A) \(9-3 \cdot 4 \div 2\) B) \(8+7(6-5)\) C) \(5 \cdot[2-3(4+1)]\) D) \(8-7+2\) E) \(4+6 \div 2 \cdot 3\) F) \(\frac{37}{8-2 \cdot 2}\)

match the expression with the appropriate wording from the column a) \(x\) minus negative twelve b) The opposite of \(x\) minus \(x\) c) The opposite of \(x\) minus twelve d) The opposite of \(x\) e) The opposite of \(x\) minus negative twelve I twelve minus the opposite of \(x\) g) Twelve minus \(x\) h) \(x\) minus twelve $$ 12-x $$

Match the term with a like term from the column on the right. ___ \(7 m\) a) \(-3 z\) b) \(5 x\) c) \(2 t\) d) \(-4 m\) e) 9 f) \(-3 n\)

In each of Exercises \(1-4\) match the description with the appropriate number from the list on the right. A number that has 3 as a factor A. 2 B. 7 C. 60 D. 65

Complete each sentence using one of these terms: commutative, associative, or distributive. \(3(x y)\) is equivalent to \((3 x) y\) by the _____ law for multiplication.

Classify each of the following as either an expression or an equation. $$ 3 x=21 $$

Write exponential notation. $$ x \cdot x \cdot x \cdot x \cdot x \cdot x \cdot x $$

match the expression with the appropriate wording from the column a) \(x\) minus negative twelve b) The opposite of \(x\) minus \(x\) c) The opposite of \(x\) minus twelve d) The opposite of \(x\) e) The opposite of \(x\) minus negative twelve I twelve minus the opposite of \(x\) g) Twelve minus \(x\) h) \(x\) minus twelve $$ 12-(-x) $$

In each of Exercises \(1-4\) match the description with the appropriate number from the list on the right. ____An odd composite number A. 2 B. 7 C. 60 D. 65

In each of Exercises \(1-8\) fill in the blank using one of the following terms: natural number, whole number, integer, rational number, tern ting irrational. If a number is a(n)__________ , it is either a whole number or the opposite of a whole number.

Classify each of the following as either an expression or an equation. $$ 2 x-5=9 $$

Write exponential notation. $$ y \cdot y \cdot y \cdot y \cdot y \cdot y $$

match the expression with the appropriate wording from the column a) \(x\) minus negative twelve b) The opposite of \(x\) minus \(x\) c) The opposite of \(x\) minus twelve d) The opposite of \(x\) e) The opposite of \(x\) minus negative twelve I twelve minus the opposite of \(x\) g) Twelve minus \(x\) h) \(x\) minus twelve $$ x-12 $$

In each of Exercises \(1-4\) match the description with the appropriate number from the list on the right. ___The only even prime number A. 2 B. 7 C. 60 D. 65

Match the term with a like term from the column on the right. ___ \(28 z\) a) \(-3 z\) b) \(5 x\) c) \(2 t\) d) \(-4 m\) e) 9 f) \(-3 n\)

Fill in the blank using one of the following terms: natural number, whole number, integer, rational number, terminating, repeating, irrational number, absolute value. 0 is the only _______ that is not a natural number.

Complete each sentence using one of these terms: commutative, associative, or distributive. \(m n\) is equivalent to \(n m\) by the _____ for multiplication.

match the expression with the appropriate wording from the column a) \(x\) minus negative twelve b) The opposite of \(x\) minus \(x\) c) The opposite of \(x\) minus twelve d) The opposite of \(x\) e) The opposite of \(x\) minus negative twelve I twelve minus the opposite of \(x\) g) Twelve minus \(x\) h) \(x\) minus twelve $$ x-(-12) $$

Match the term with a like term from the column on the right. ___ \(-2 x\) a) \(-3 z\) b) \(5 x\) c) \(2 t\) d) \(-4 m\) e) 9 f) \(-3 n\)

In each of Exercises \(1-8\) fill in the blank using one of the following terms: natural number, whole number, integer, rational number, tern ting irrational. Any number of the form \(a / b,\) where \(a\) and \(b\) are integers, with \(b \neq 0,\) is an example of a(n)__________.

Complete each sentence using one of these terms: commutative, associative, or distributive. \(x(y+z)\) is equivalent to \(x y+x z\) by the _____ law.

Classify each of the following as either an expression or an equation. $$ 38=2 t $$

Write exponential notation. $$ (-7)(-7)(-7)(-7) $$

Write all two-factor factorizations of each number. Then list all the factors of the number. $$70$$

Match the term with a like term from the column on the right. ___ \(-9 t\) a) \(-3 z\) b) \(5 x\) c) \(2 t\) d) \(-4 m\) e) 9 f) \(-3 n\)

In each of Exercises \(1-8\) fill in the blank using one of the following terms: natural number, whole number, integer, rational number, tern ting irrational. A number like \(\sqrt{5},\) which cannot be written precisely in fraction notation or decimal notation, is an example of a(n)_________.

Complete each sentence using one of these terms: commutative, associative, or distributive. \((9+a)+b\) is equivalent to \(9+(a+b)\) by the _______ law for addition.

Classify each of the following as either an expression or an equation. $$ 45=a-1 $$

Write exponential notation. $$ 3 t \cdot 3 t \cdot 3 t \cdot 3 t \cdot 3 t $$

Write all two-factor factorizations of each number. Then list all the factors of the number. $$ 42 $$

Complete each sentence using one of these terms: commutative, associative, or distributive. \(a+(6+d)\) is equivalent to \((a+6)+d\) by the _______ law for addition.

Classify each of the following as either an expression or an equation. $$ 4 a-5 b $$

Write exponential notation. $$ 5 m \cdot 5 m \cdot 5 m \cdot 5 m \cdot 5 m $$

Replace the blank with either 0 or 1 to match the description given. This number is the additive identity. _______

Add using the number line. \(2+(-5)\)

Complete each sentence using one of these terms: commutative, associative, or distributive. \(t+4\) is equivalent to \(4+t\) by the _______ law for addition.

Classify each of the following as either an expression or an equation. $$ 3 t+4=19 $$

Write exponential notation. $$ 2 \cdot n \cdot n \cdot n \cdot n $$

Label each of the following numbers as prime, composite, or neither. $$ 21 $$

Add using the number line. \(-5+9\)

Complete each sentence using one of these terms: commutative, associative, or distributive. \(x \cdot 7\) is equivalent to \(7 \cdot x\) by the ________ law for multiplication.

Classify each of the following as either an expression or an equation. $$ 2 x-3 y=8 $$

Concept Reinforcement In each of Exercises \(1-10,\) replace the blank with either 0 or 1 to match the description given. {10. Division by this number is undefined. ____________

Label each of the following numbers as prime, composite, or neither. $$15$$

State which real number(s) correspond to each situation. Calories. During a yoga class, Sharrita burned 250 calories. She then drank an isotonic drink containing 65 calories.