Exam 4: Basic Algebra: Solving Simple Equations

Solve. -When Maria finished medical school she had a student loan. She repaid $\$ 27,000$ of the loan within two years of graduating. That was $\frac{1}{2}$ of the total amount she owed. Write and solve an equation to determine the total amount, $x$ , of the student loan.

Translate the sentence to an equation. -1.7 minus $q$ is equal to 10 .

Translate the sentence to an equation then solve. -q divided by 2 yields 10 .

Translate the sentence to an equation then solve. -The product of 3 and $x$ is 7 .

Solve. -Bill paid $\$ 1.84$ for a phone call lasting 16 minutes. Write and solve an equation to find the price per minute, $x$ . Round to the nearest cent.

Solve the equation. - $x-2 \frac{2}{5}=11$

Evaluate the algebraic expression. - $\frac{\mathrm{m}}{10}$ , for $\mathrm{m}=2 \frac{2}{9}$

Translate the word phrase into an algebraic expression. -The product of 2 and $x$

Evaluate the expression. - $9 x$ , if $x=7.7$

Translate the word phrase into an algebraic expression. -9 hours past time $x$

Identify the operation to perform to the equation to isolate the variable. - $\frac{y}{2}=7$

Indicate whether the value of $x$ shown is a solution to the given equation. - $3 x=\frac{1}{3}, x=\frac{1}{9}$

Write an equation. Then, solve and check. -A pancake recipe calls for $2 \frac{1}{5}$ pounds of flour. David already has $1 \frac{2}{5}$ pounds of flour. How many more pounds does he need?

Solve. -You plan to purchase a bike costing $\$ 795$ . Write an equation that could be used to find the amount $\mathrm{m}$ , that you must save per month in order to buy the bike 5 months from now.

Solve the equation. - $x-1.571=2.084$

Solve the equation. - $n+7=16$

Translate the sentence to an equation. Do not solve. -The difference between 9 and y is $2 \frac{4}{7}$ .

Complete the table. -

Translate the sentence to an equation. -The sum of 8 and $t$ is 28 .

Solve. -Write an expression for the sum of the lengths of the sides of the triangles shown.