Chapter 5

For the following problems, translate the following phrases or sentences into mathematical expressions or equations. One third of a number is two fifths.

For the following problems, solve each conditional equation. If the equation is not conditional, identify it as an identity or a contradiction. $$ 10 y-3=-23 $$

In the following problems, solve each of the conditional equations. $$ -9 y=126 $$

Determine which of the literal equations have been solved for a variable. Write "solved" or "not solved." $$ y=3 x+7 $$

Solve the equations. $$ \frac{y}{9}=54 $$

Solve the following problems. Solve \(y=8 x-11\) for \(y\) if \(x=3\), and write the solution as an ordered pair.

For the following problems, solve the inequalities. $$ -5 x \leq 20 $$

When eleven is subtracted from a number, the result is \(85 .\) What is the number?

For the following problems, translate the following phrases or sentences into mathematical expressions or equations. Three times a number is nine more than twice the number.

For the following problems, solve each conditional equation. If the equation is not conditional, identify it as an identity or a contradiction. $$ 14 x+1=-55 $$

In the following problems, solve each of the conditional equations. $$ \frac{x}{6}=1 $$

Determine which of the literal equations have been solved for a variable. Write "solved" or "not solved." $$ m=2 k+n-1 $$

For the following problems, solve the linear equations in two variables. $$ y=6(x-7), \text { if } x=2 $$

Solve the equations. $$ \frac{a}{-3}=-17 $$

For the following problems, solve the inequalities. $$ -8 x<40 $$

Three times a number is divided by 6 and the result is \(10.5 .\) What is the number?

For the following problems, translate the following phrases or sentences into mathematical expressions or equations. Five times a number is that number minus two.

For the following problems, solve each conditional equation. If the equation is not conditional, identify it as an identity or a contradiction. $$ \frac{x}{9}+2=6 $$

In the following problems, solve each of the conditional equations. $$ \frac{a}{5}=6 $$

Determine which of the literal equations have been solved for a variable. Write "solved" or "not solved." $$ 4 a=y-6 $$

For the following problems, solve the linear equations in two variables. $$ y=2(4 x+5), \text { if } x=-1 $$

Solve the equations. $$ \frac{c}{6}=15 $$

For the following problems, solve the inequalities. $$ -7 z<77 $$

When a number is multiplied by itself, the result is 144 . What is the number?

For the following problems, translate the following phrases or sentences into mathematical expressions or equations. Twice a number added to six results in thirty.

For the following problems, solve each conditional equation. If the equation is not conditional, identify it as an identity or a contradiction. $$ \frac{m}{7}-8=-11 $$

In the following problems, solve each of the conditional equations. $$ \frac{k}{7}=6 $$

For the following problems, solve the linear equations in two variables. $$ 5 y=9(x-3), \text { if } x=2 $$

Solve the equations. $$ \frac{3 a}{4}=9 $$

For the following problems, solve the inequalities. $$ -3 y>39 $$

A number is tripled, then increased by seven. The result is \(48 .\) What is the number?

For the following problems, translate the following phrases or sentences into mathematical expressions or equations. Ten times a number less four results in sixty-six.

For the following problems, solve each conditional equation. If the equation is not conditional, identify it as an identity or a contradiction. $$ \frac{y}{4}+6=12 $$

In the following problems, solve each of the conditional equations. $$ \frac{x}{3}=72 $$

Solve the equations. $$ \frac{4 y}{5}=-12 $$

For the following problems, solve the inequalities. $$ \frac{x}{4} \geq 12 $$

Eight times a number is decreased by three times the number, giving a difference of \(22 .\) What is the number?

For the following problems, translate the following phrases or sentences into mathematical expressions or equations. A number less twenty-five is equal to 3.019 .

For the following problems, solve each conditional equation. If the equation is not conditional, identify it as an identity or a contradiction. $$ \frac{x}{8}-2=5 $$

In the following problems, solve each of the conditional equations. $$ \frac{x}{8}=96 $$

Solve the equations. $$ \frac{r}{4}=7 $$

For the following problems, solve the linear equations in two variables. $$ -2 y=3(2 x-5), \text { if } x=6 $$

For the following problems, solve the inequalities. $$ \frac{y}{7}>3 $$

One number is fifteen more than another number. The sum of the two numbers is \(27 .\) What are they?

For the following problems, translate the following phrases or sentences into mathematical expressions or equations. Seven more than some number is five more than twice the number.

For the following problems, solve each conditional equation. If the equation is not conditional, identify it as an identity or a contradiction. $$ \frac{m}{11}-15=-19 $$

In the following problems, solve each of the conditional equations. $$ \frac{y}{-3}=-4 $$

Determine which of the literal equations have been solved for a variable. Write "solved" or "not solved." $$ m=m $$

For the following problems, solve the linear equations in two variables. $$ -8 y=7(8 x+2), \text { if } x=0 $$

Solve the equations. $$ \frac{6 a}{-5}=11 $$