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