일차방정식

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.4x+0.6=0.5x-1.2$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.7x+0.4=0.6x+2.4$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.23x+1.47=0.37x-1.05$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.48x+1.56=0.58x-0.64$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.9x-1.25=0.75x+1.75$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$1.2x-0.91=0.8x+2.29$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.05n+0.10(n+8)=2.15$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.05n+0.10(n+7)=3.55$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.10d+0.25(d+5)=4.05$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.10d+0.25(d+7)=5.25$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.05(q-5)+0.25q=3.05$

Solve Equations with Decimal Coefficients

In the following exercises, solve the equation by clearing the decimals.

$0.05(q-8)+0.25q=4.10$

Coins Taylor has $\char36 2.00$ in dimes and pennies. The number of pennies is $2$ more than the number of dimes. Solve the equation $0.10d+0.01(d+2)=2$ for $d,$ the number of dimes.

Stamps Travis bought $\char36 9.45$ worth of $\text{49-cent}$ stamps and $\text{21-cent}$ stamps. The number of $\text{21-cent}$ stamps was $5$ less than the number of $\text{49-cent}$ stamps. Solve the equation $0.49s+0.21(s-5)=9.45$ for $s,$ to find the number of $\text{49-cent}$ stamps Travis bought.

Explain how to find the least common denominator of $\frac{3}{8},\,\frac{1}{6},\,\text{and}\,\frac{2}{3}.$

If an equation has several fractions, how does multiplying both sides by the LCD make it easier to solve?

If an equation has fractions only on one side, why do you have to multiply both sides of the equation by the LCD?

In the equation $0.35x+2.1=3.85,$ what is the LCD? How do you know?

Translate $\text{``}6$ less than twice $\text{x}\text{''}$ into an algebraic expression.

Solve: $\frac{2}{3}x=24.$