Chapter 2

Algebra 1: Concepts and Skills · 593 exercises

Problem 8

Match the expression with its simplified form. $$ (x+3)(-2) $$

3 step solution

Problem 8

Find the product. \(-4(-6)\)

3 step solution

Problem 8

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

4 step solution

Problem 8

Complete the statement using \(<\) or \(>.\) Use the number line shown. \(0\) \(?\) \(-8\)

2 step solution

Problem 9

Evaluate the expression. $$ 6-2-\frac{1}{2} $$

2 step solution

Problem 9

Find the quotient. \begin{equation} \frac{1}{5} \div\left(-\frac{1}{10}\right) \end{equation}

4 step solution

Problem 9

Simplify the expression. $$ 14 f+4(f+1) $$

2 step solution

Problem 9

Find the product. \((-1)^{5}\)

3 step solution

Problem 9

Use the rules of addition to find the sum. $$ 12+(-5) $$

3 step solution

Problem 9

Find the opposite of the number. $$ -|5.1| $$

2 step solution

Problem 10

Evaluate the function \(y=10-x,\) when \(x=-5,-1,1\) and \(5 .\) Organize your results in a table.

6 step solution

Problem 10

Find the quotient. \begin{equation} -8 \div 2 \frac{2}{3} \end{equation}

4 step solution

Problem 10

Simplify the expression. $$ 21 g-2(g-4) $$

3 step solution

Problem 10

Simplify the expression. \(-3(-6)(a)\)

2 step solution

Problem 10

Find the opposite of the number. $$ \left|-\frac{1}{5}\right| $$

3 step solution

Problem 10

Use the rules of addition to find the sum. $$ -4+5 $$

2 step solution

Problem 11

Find the terms of the expression. $$ 12-5 x $$

3 step solution

Problem 11

Find the quotient. Evaluate \(\frac{a-4}{b}\) when \(a=-2\) and \(b=-3\)

3 step solution

Problem 11

Simplify the expression. $$ -5(2 m+4)-m $$

4 step solution

Problem 11

Use the distributive property and mental math to simplify the expression. $$4(1.15)=4(1+0.15)$$ $$ \begin{aligned} &=?(?)+?(?)\\\ &=?+?\\\ &=? \end{aligned} $$

3 step solution

Problem 11

Simplify the expression. \(5(-t)(-t)(-t)(-t)\)

5 step solution

Problem 11

Use mental math to solve the equation. If there is no solution, write no solution. $$ |x|=8 $$

2 step solution

Problem 11

Use the rules of addition to find the sum. $$ -7+(-3) $$

3 step solution

Problem 11

Write the numbers in increasing order. \(2,-3,-8,1,-2\)

6 step solution

Problem 12

Find the terms of the expression. $$ 5 w-8 $$

2 step solution

Problem 12

Find the quotient. \begin{equation} \text { Simplify } \frac{36-12 x}{-6} \end{equation}

3 step solution

Problem 12

Simplify the expression. $$ 7(3 a+2)+5 $$

2 step solution

Problem 12

Simplify the expression. \(6(-x)^{3}\)

2 step solution

Problem 12

Use mental math to solve the equation. If there is no solution, write no solution. $$ |x|=-9 $$

3 step solution

Problem 12

Use the properties of addition to find the sum. $$ -4+3+(-2) $$

4 step solution

Problem 12

Write the numbers in increasing order. \(1.2,-4,5,7,-6.1\)

5 step solution

Problem 13

Find the terms of the expression. $$ -12 y+6 $$

2 step solution

Problem 13

Find the domain of the function. \begin{equation} y=\frac{1}{x-4} \end{equation}

3 step solution

Problem 13

Simplify the expression. $$ 5(x-7)+4(x+2) $$

2 step solution

Problem 13

Evaluate the expression for the given value of the variable. \(2(-5)(-x)\) when \(x=4\)

3 step solution

Problem 13

Use mental math to solve the equation. If there is no solution, write no solution. $$ |x|=5.5 $$

2 step solution

Problem 13

Use the properties of addition to find the sum. $$ 5+(-5)+7 $$

3 step solution

Problem 13

Write the numbers in increasing order. \(-7,-9,2, \frac{5}{4},-\frac{1}{5}\)

7 step solution

Problem 14

Find the difference. $$ 4-9 $$

3 step solution

Problem 14

Find the domain of the function. \begin{equation} y=\frac{x}{5} \end{equation}

3 step solution

Problem 14

Simplify the expression. $$ 2(4 t-1)-4(1-t) $$

2 step solution

Problem 14

Evaluate the expression for the given value of the variable. \(6(-2)(x)\) when \(x=-3\)

3 step solution

Problem 14

Use mental math to solve the equation. If there is no solution, write no solution. $$ |x|=\frac{2}{3} $$

3 step solution

Problem 14

Use the properties of addition to find the sum. $$ -3+0+7 $$

3 step solution

Problem 14

Graph the numbers on a number line. \(0,2,6\)

4 step solution

Problem 15

Find the difference. $$ 6-(-3) $$

3 step solution

Problem 15

Find the domain of the function. \begin{equation} y=\frac{1}{7 x} \end{equation}

3 step solution

Problem 15

Identify the like terms in the expression. $$ 3 a+5 a $$

3 step solution

Problem 15

Tell whether the set is closed under the operation by deciding if the combination of any two numbers in the set of numbers is itself in the set. even integers under multiplication

3 step solution

Problem 15

ADDING REAL NUMBERS Match the exercise with its answer. A. \(-2\) B. 0 C. \(-3\) $$ -1+(-2) $$

3 step solution

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