Practice Problems
\(\textbf{1)}\) \( x+3=4 \)
\(\textbf{2)}\) \( x-4=12 \)
\(\textbf{3)}\) \( x+2=-12 \)
\(\textbf{4)}\) \( x-5=-3 \)
\(\textbf{5)}\) \( 4=x-7 \)
\(\textbf{6)}\) \( -12=x+8 \)
\(\textbf{7)}\) \( x+7=5 \)
\(\textbf{8)}\) \( x-5=10 \)
\(\textbf{9)}\) \( x+8=-4 \)
\(\textbf{10)}\) \( x-6=-8 \)
\(\textbf{11)}\) \( 5=x-3 \)
\(\textbf{12)}\) \( -4=x+5 \)
\(\textbf{13)}\) \( x+5=9 \)
\(\textbf{14)}\) \( x-8=10 \)
\(\textbf{15)}\) \( x+4=-18 \)
See Related Pages\(\)
\(\bullet\text{ Equation Calculator (Symbolab.com)}\)
\(\,\,\,\,\,\,\,\,\)
\(\bullet\text{ Solving Equations by Addition and Subtraction}\)
\(\,\,\,\,\,\,\,\,x+3=4…\)
\(\bullet\text{ Solving Equations by Multiplication and Division}\)
\(\,\,\,\,\,\,\,\,8x=48…\)
\(\bullet\text{ Solving Multi-step Equations}\)
\(\,\,\,\,\,\,\,\,3x+2=14…\)
\(\bullet\text{ Solving Equations with Variables on Both Sides}\)
\(\,\,\,\,\,\,\,\,3x+5=7x-3…\)
\(\bullet\text{ Solving Equations with Decimals}\)
\(\,\,\,\,\,\,\,\,43.5+0.2x=51.1…\)
\(\bullet\text{ Solving Equations with Fractions}\)
\(\,\,\,\,\,\,\,\,\frac{2}{5}x+\frac{2}{3}=\frac{8}{3}…\)
In Summary…
Solving equations by adding and subtracting is a common method for finding the value of an unknown variable. An equation is a mathematical statement that shows that two expressions are equal. To solve these equations, we need to find the value of x that makes the equation true. We can do this by manipulating the equation using the properties of equality. The first property is that if we add or subtract the same value from both sides of the equation, the equation remains true.
Solving equations by adding and subtracting is algebra, and is typically introduced in an algebra course in middle or high school.
Real world examples of Solving Equations by Adding and Subtracting
A store owner wants to determine how many items he needs to sell at a given price in order to break even.
A carpenter is building a bookshelf and needs to determine how many shelves he needs to build in order to use up all of the materials he has on hand.
A student is trying to determine how many hours he needs to study in order to earn a certain grade in a class.
A company is trying to determine how many units of a product they need to sell in order to turn a profit.
A homeowner is trying to determine how many trees he needs to plant in order to create a privacy screen around his property.