Chapter 1

Write the verbal sentence as an equation or an inequality. Five decreased by eight is four times \(y.\)

Evaluate the power. $$ 8^{2} $$

\(\frac{18}{t}\) when \(t=3\)

Evaluate the expression. $$10 \div(3+2)+9$$

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$3 y=12$$

Write the verbal sentence as an equation, or an inequality. Twenty-three less than the difference of thirty-eight and a number \(n\) is less than eight.

Evaluate the power. $$ 6^{4} $$

\(\frac{5}{8}-p\) when \(p=\frac{3}{16}\)

Evaluate the expression. $$7[(18-6)-6]$$

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$\frac{x}{4}=5$$

Write the verbal sentence as an equation, or an inequality. A number \(t\) increased by the sum of seven and the square of another number \(s\) is ten.

Evaluate the power. $$ 10^{5} $$

\(\frac{1}{2}+t\) when \(t=\frac{1}{2}\)

Evaluate the expression. $$\left[(7-4)^{2}+3\right]+15$$

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$4 p=36$$

Write the verbal sentence as an equation, or an inequality. Five less than the difference of twenty and a number \(x\) is greater than or equal to ten.

Evaluate the power. $$ 7^{4} $$

You invest \(\$ 80\) at a simple annual interest rate of \(2 \%\). How much simple interest would you earn in 1.5 years? Use unit analysis to check the units in your response.

Evaluate the expression. $$3(2.7 \div 0.9)-5$$

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$4 r-1=11$$

Write the verbal sentence as an equation, or an inequality. Fourteen plus the product of twelve and a number \(y\) is less than or equal to fifty.

Evaluate the power. $$ 4^{6} $$

Evaluate the expression. $$6(5-3)^{2}+3$$

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$2 t-1=9$$

Write the verbal sentence as an equation, or an inequality. Nine plus the quotient of a number \(b\) and ten is greater than or equal to eleven.

Evaluate the power. $$ 9^{3} $$

Evaluate the expression. $$\left[10+\left(5^{2} \cdot 2\right)\right] \div 6$$

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$m^{2}=144$$

Write the verbal sentence as an equation, or an inequality. Seventy divided by the product of seven and a number \(p\) is equal to one.

Evaluate the power. $$ 2^{5} $$

Evaluate the expression. $$\frac{1}{3}(9 \cdot 3)+18$$

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$\frac{x}{7}=3$$

Write the verbal sentence as an equation, or an inequality. A number \(q\) is equal to or greater than one hundred.

Evaluate the expression for the given value of the variable. $$ 4^{n} \text { when } n=5 $$

In Exercises \(35-38,\) find the average speed for the given distance and time. Show unit analysis to check units. A train travels 75 miles in 55 minutes.

Evaluate the expression. $$\frac{1}{2} \cdot 26-3^{2}$$

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$5 q-2=3$$

Write the verbal sentence as an equation, or an inequality. A number \(x\) squared plus forty-four is equal to the number \(x\) to the fourth power times three

Evaluate the expression for the given value of the variable. $$ b^{4} \text { when } b=9 $$

In 5 seconds, an athlete runs 40 feet.

Evaluate the expression. $$2.5 \cdot 0.5^{2} \div 5$$

MENTAL MATH Write a question that could be used to solve the equation. Then use mental math to solve the equation. $$y^{3}=125$$

Write the verbal sentence as an equation, or an inequality. A number \(x\) squared plus forty-four is equal to the number \(x\) to the fourth power times three.

Evaluate the expression for the given value of the variable. $$ x^{6} \text { when } x=10 $$

Evaluate the expression. $$\frac{9 \cdot 2}{4+3^{2}-1}$$

CHECKING SOLUTIONS OF INEQUALTTIES Check whether the given number is a solution of the inequality. $$n-2<6 ; 3$$

Write the verbal sentence as an equation, or an inequality. Fifty multiplied by the quantity twenty divided by a number \(n\) is greater than or equal to two hundred fifty.

Evaluate the expression for the given value of the variable. $$ c^{6} \text { when } c=2 $$

Evaluate the expression. $$\frac{13-4}{18-4^{2}+1}$$

CHECKING SOLUTIONS OF INEQUALTTIES Check whether the given number is a solution of the inequality. $$5+s>8 ; 4$$