Chapter 2

In an expression that is written as a sum, the parts that are added are called the ____ ? of the expression.

Complete the statement. The product of a number and its \(?\) is \(1 .\)

In the expression \(7 x^{2}-5 x+10,\) what is the coefficient of the \(x^{2}-\) term? What is the coefficient of the x-term?

Explain how you would use the distributive property to simplify the expression. $$ 2(x+3) $$

Match the property with the statement that illustrates it. Commutative property A. \(-1 \cdot 9=-9\) B. \(4(-2)=(-2) 4\) C. \(0 \cdot 8=0\) D. \(1 \cdot(-15)=-15\) E. \(-7(5 \cdot 2)=(-7 \cdot 5) 2\)

On a number line, the numbers to the left of zero are ? numbers, and the numbers to the right of zero are ? numbers.

Is \(7 x\) a term of the expression \(4 y-7 x-9 ?\) Explain.

Complete the statement. The result of \(a \div b\) is the \(\quad ?\) of \(a\) and \(b\)

Identify the like terms in the expression \(-6-3 x^{2}+3 x-4 x+9 x^{2}.\)

Explain how you would use the distributive property to simplify the expression. $$ (x+4) 5 $$

Match the property with the statement that illustrates it. Associative property A. \(-1 \cdot 9=-9\) B. \(4(-2)=(-2) 4\) C. \(0 \cdot 8=0\) D. \(1 \cdot(-15)=-15\) E. \(-7(5 \cdot 2)=(-7 \cdot 5) 2\)

Complete: The absolute value of a number is its distance from ____ ? on a number line.

Zero and the positive integers are also called ? numbers.

Use the number line to complete this statement: \(-2-5=?\)

Find the reciprocal of the number. \begin{equation} 32 \end{equation}

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$5 r+r$$

Explain how you would use the distributive property to simplify the expression. $$ 7(x-3) $$

Match the property with the statement that illustrates it. Identity property A. \(-1 \cdot 9=-9\) B. \(4(-2)=(-2) 4\) C. \(0 \cdot 8=0\) D. \(1 \cdot(-15)=-15\) E. \(-7(5 \cdot 2)=(-7 \cdot 5) 2\)

Find the opposite of the number. $$ 1 $$

Graph the numbers on a number line. \(-5,-1,4\)

Find the difference. $$ 4-5 $$

Find the reciprocal of the number. \begin{equation} -7 \end{equation}

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ w-3 w $$

Explain how you would use the distributive property to simplify the expression. $$ (x-6) 4 $$

Match the property with the statement that illustrates it. Property of zero A. \(-1 \cdot 9=-9\) B. \(4(-2)=(-2) 4\) C. \(0 \cdot 8=0\) D. \(1 \cdot(-15)=-15\) E. \(-7(5 \cdot 2)=(-7 \cdot 5) 2\)

Find the opposite of the number. $$ -3 $$

Graph the numbers on a number line. \(-3,0,3\)

Find the difference. $$ 0-(-7) $$

Find the reciprocal of the number. \begin{equation} -\frac{1}{5} \end{equation}

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ -4 k-8+4 k $$

Match the property with the statement that illustrates it. Property of negative one A. \(-1 \cdot 9=-9\) B. \(4(-2)=(-2) 4\) C. \(0 \cdot 8=0\) D. \(1 \cdot(-15)=-15\) E. \(-7(5 \cdot 2)=(-7 \cdot 5) 2\)

Find the opposite of the number. $$ -2.4 $$

Graph the numbers on a number line. \(6,-2,0.5\)

Find the difference. $$ -2-8.7 $$

Find the reciprocal of the number. \begin{equation} 4 \frac{2}{3} \end{equation}

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ 12-10 m+m-3 $$

Find the product. \(9(-1)\)

Use a number line to find the sum. $$ 7+(-3) $$

Find the opposite of the number. $$ \frac{1}{2} $$

Graph the numbers on a number line. \(-1,-2,-\frac{2}{3}\)

Evaluate the expression. $$ 2-(-3)-6 $$

Find the quotient. \begin{equation} -12 \div 3 \end{equation}

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ 2 a^{2}+3 a+2 a^{2}-5 $$

Find the product. \(-5(7)\)

Use a number line to find the sum. $$ 0+(-10) $$

Evaluate the expression. $$ |-12| $$

Complete the statement using \(<\) or \(>.\) Use the number line shown. \(-4 \) \(?\) \(-5\)

Evaluate the expression. $$ -3-2-(-5) $$

Find the quotient. \begin{equation} -7 \div-\frac{1}{2} \end{equation}

Simplify the expression by combining like terms if possible. If not possible, write already simplified. $$ 8-4 t+6 t^{2} $$