Chapter 1

Simplify the algebraic expressions by combining similar terms. $$ -7 x+11 x $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ [6+(-2)]+4=6+[(-2)+4] $$

Graph the following points and their opposites on the real number line: \(1,-2\), and 4 .

Identify each statement as true or false. Every irrational number is a real number.

Simplify the algebraic expressions by combining similar terms. $$ 5 x-8 x+x $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ x(3)=3(x) $$

Graph the following points and their opposites on the real number line: \(-3,-1\), and 5 .

Identify each statement as true or false. Every rational number is a real number.

Simplify the algebraic expressions by combining similar terms. $$ 5 a^{2}-6 a^{2} $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ 42+(-17)=-17+42 $$

Find the following absolute values: (a) \(|-7|\) (b) \(|0|\) (c) \(|15|\)

Identify each statement as true or false. If a number is real then it is irrational

Simplify the algebraic expressions by combining similar terms. $$ 12 b^{3}-17 b^{3} $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ 1(x)=x $$

Find the following absolute values: (a) \(|2|\) (b) \(|-1|\) (c) \(|-10|\)

Identify each statement as true or false. Every real number is a rational number

Simplify the algebraic expressions by combining similar terms. $$ 4 n-9 n-n $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ -114+114=0 $$

Perform the following operations with real numbers. $$ 8+(-15) $$

Identify each statement as true or false. All integers are rational numbers.

Simplify the algebraic expressions by combining similar terms. $$ 6 n+13 n-15 n $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ (-1)(48)=-48 $$

Perform the following operations with real numbers. $$ 9+(-18) $$

Simplify the algebraic expressions by combining similar terms. $$ 4 x-9 x+2 y $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ -1(x+y)=-(x+y) $$

Perform the following operations with real numbers. $$ (-12)+(-7) $$

Identify each statement as true or false. Zero is a positive integer.

Simplify the algebraic expressions by combining similar terms. $$ 7 x-9 y-10 x-13 y $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ -3(2+4)=-3(2)+(-3)(4) $$

Perform the following operations with real numbers. $$ (-7)+(-14) $$

Identify each statement as true or false. Zero is a rational number.

Simplify the algebraic expressions by combining similar terms. $$ -3 a^{2}+7 b^{2}+9 a^{2}-2 b^{2} $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ 12 y x=12 x y $$

Perform the following operations with real numbers. $$ -8-14 $$

Identify each statement as true or false. All whole numbers are integers.

Simplify the algebraic expressions by combining similar terms. $$ -x y+z-8 x y-7 z $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ [(-7)(4)](-25)=(-7)[4(-25)] $$

Perform the following operations with real numbers. $$ -17-9 $$

Identify each statement as true or false. Zero is a negative integer.

Simplify the algebraic expressions by combining similar terms. $$ 15 x-4+6 x-9 $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ 7(4)+9(4)=(7+9) 4 $$

Perform the following operations with real numbers. $$ 9-16 $$

From the list \(0,14, \frac{2}{3}, \pi, \sqrt{7},-\frac{11}{14}\), \(2.34,-19, \frac{55}{8},-\sqrt{17}, 3.2 \overline{1}\), and \(-2.6\), identify each of the following. The whole numbers

Simplify the algebraic expressions by combining similar terms. $$ 5 x-2-7 x+4-x-1 $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ (x+3)+(-3)=x+[3+(-3)] $$

Perform the following operations with real numbers. $$ 8-22 $$

From the list \(0,14, \frac{2}{3}, \pi, \sqrt{7},-\frac{11}{14}\), \(2.34,-19, \frac{55}{8},-\sqrt{17}, 3.2 \overline{1}\), and \(-2.6\), identify each of the following. The natural numbers

Simplify the algebraic expressions by combining similar terms. $$ 5 a^{2} b-a b^{2}-7 a^{2} b $$

State the property that justifies each of the statements. For example, \(3+(-4)=(-4)+3\) because of the commutative property of addition. $$ [(-14)(8)](25)=(-14)[8(25)] $$

Perform the following operations with real numbers. $$ (-9)(-12) $$