Chapter 1

Simplify the algebraic expressions in Problems \(1-14\) 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. $$[6+(-2)]+4=6+[(-2)+4]$$

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

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$x(3)=3(x)$$

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

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$42+(-17)=-17+42$$

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

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$1(x)=x$$

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

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$-8-14$$

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$-17-9$$

Identify each statement as true or false. Some irrational numbers are also rational numbers.

Simplify the algebraic expressions in Problems \(1-14\) 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. $$9-16$$

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$8-22$$

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$(-9)(-12)$$

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$(-6)(-13)$$

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$(5)(-14)$$

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$(-17)(4)$$

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

Simplify the algebraic expressions in Problems \(1-14\) 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. $$[(-14)(8)](25)=(-14)[8(25)]$$