2. Linear Equations and Inequalities

Solve the following equations with decimals.

$4.1x+2.4=3.6x-(-4)$

Which of the following is a linear equation in one variable?

Identify the following as either an expression or equation.

$\frac{2m}{3}+8$

Identify the following as either an expression or equation.

$4(a-2)=21$

Which of the following is a linear equation in one variable?

Verify that the given value is a solution to the equation.

$y=-2;5y+4=14$

Verify that the given value is a solution to the equation.

$a=2;4a+3=a+9$

Solve the given linear equation using addition and subtraction properties of equality.

$x+\frac{2}{8}=-\frac{3}{8}$

Solve the given linear equation using addition and subtraction properties of equality.

$-5.4+c=1.6$

Solve the given linear equation using addition and subtraction properties of equality.

$6h-(-12)=5+5h$

Solve the given linear equation using addition and subtraction properties of equality.

$2(x+5)=3(x-1)$

Solve the given linear equation using addition and subtraction properties of equality.

$3(y+3)+(1-y)=3y+13$

Solve the given linear equation using multiplication and division properties of equality.

$-8x=64$

Solve the given linear equation using multiplication and division properties of equality.

$\frac{y}{4}=-\frac{21}{6}$

Solve the given linear equation using multiplication and division properties of equality.

$-\frac{126}{14}=3y$