Exam 2: Linear Equations

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The difference between two positive integers is 54. One integer is three times as great as the other. Find the integers.

Solve the problem. -Helen Weller invested $14,000 in an account that pays 10% simple interest. How much additional money must be invested in an account that pays 13% simple interest so that the average return on The two investments amounts to 11%?

Answer the question or solve the problem. -If x < 4 then -5x < -20.

Solve the problem. -Under what conditions must the inequality symbol be reversed when solving an inequality?

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is the first step to solve an equation in the form $\frac { a } { b } x = \frac { c } { d } ?$

Choose the one alternative that best completes the statement or answers the question. Solve. -8r + 7 = 79

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Write a linear equation that has m = 5 as a solution.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The sum of two consecutive even integers is 66. Find the larger number.

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -What is the first step to solve an equation in the form b + x = a? What is the solution of the equation?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -If the first and third of three consecutive odd integers are added, the result is 63 less than five times the second integer. Find the third integer.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -A square plywood platform has a perimeter which is 6 times the length of a side, decreased by 8. Find the length of a side.

Solve the problem. -The price of an item is reduced by 20% in a sale. Two weeks later the price is increased to 20% more than the sale price. Has the item been restored to its original price? If not, is its price now higher or lower than the original price? Explain.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The complement of an angle measures 52° less than the angle. Find the measure of the angle.

Solve the problem. -In solving the inequality 8x ≤ -32 $\text { would you have to reverse the inequality symbol? }$

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -While solving an equation, why canʹt you multiply both sides of the equation by zero?

Solve the problem. -What number is 84% of 297?

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -A triangular lake-front lot has a perimeter of 1100 feet. One side is 300 feet longer than the shortest side, while the third side is 500 feet longer than the shortest side. Find the lengths of all three sides.

Choose the one alternative that best completes the statement or answers the question. Solve. - $A = P ( 1 + n r )$ for $r$

Answer the question or solve the problem. -From a point on a straight road, two cars are driven in opposite directions, one at 55 miles per hour and the other at 51 miles per hour. In how many hours will they be 530 miles apart?

Determine whether the given equation is linear. - $\frac { 5 } { x } - 9 x = 0$