Algebra-1 Problems

3.10 Compound Phrases to Algebraic Expressions


Problem #

Problem Statement

Problems Similar To

1.

Write an expression for the sum of two consecutive integers, the first being 'x'.

\begin{equation}x+x+1\end{equation}

2.

Write an expression for the sum of two consecutive even integers, the first being the 'x'th positive even integer.

\begin{equation}2x+2x+2\end{equation}

3.

The local bank pays 15% yearly interest on deposits. The interest is added into the account at the end of the term. How much money should be invested at the beginning of the year in order to have $\$14203/2$ at the end of a year?

\begin{equation}x+x \times \frac{15}{100}=\frac{14203}{2}\end{equation}

4.

Find the simple interest earned after 9 years on $\$3500$ invested at 15% annual interest rate.

\begin{equation}\frac{3500 \times 15}{100} \times 9\end{equation}

5.

Ms. Miller currently owes $\$1806$ simple interest on a loan of $\$4300$ at an annual interest rate of 14%. How long has she had the loan?

\begin{equation}1806=\frac{4300 \times 14}{100} \times x\end{equation}

6.

A triangle has sides: x ft, (x+2) ft and 8x ft. If the perimeter of the triangle is 42 ft, solve for x.

\begin{equation}x+x+2+8x=42\end{equation}

7.

A rectangle has one side at (x+5)ft and the other side at 5x ft. If the perimeter is 82 ft, solve for x.

\begin{equation}2(x+5+5x)=82\end{equation}