Algebra Stats 3

Solve for \(x\):

\(6(x − 3) = 4x + 4\)

A rectangle is cut in half to create two squares that each have an area of 25. What is the perimeter of the original rectangle?

Joe’s current age is five times Mary’s age ten years ago. If Mary is currently \(m\) years old, what is Joe’s current age in terms of \(m\)?

Solve:

\(\dfrac{2x}{5} + 5 \lt −5\)

A vase contains 60 marbles, all of which are red or orange. If the ratio of red marbles to orange ones is 1:5, what is the total number of red marbles in the vase?

Find the \(x\)-intercept of a line that has the following equation:

\(2y=3x−6\)

A bird traveled 72 miles in 6 hours flying at constant speed. At this rate, how many miles did the bird travel in 5 hours?

\(3^{−2}= \; ?\)

There are 10 red marbles, 4 blue marbles, and 7 white marbles in a jar. One marble is chosen at random and then returned to the jar, and then a second marble is chosen at random. What is the probability that both of the marbles chosen are white?

Jon likes to tip 20% at restaurants. To figure out the tip he should leave for a $35 meal, he uses the following expression:

\(0.20×35\)

Which of the following expressions could Jon have also used?