Solving Equations — Unit test Answers

Which number expresses 6.72 as a fraction in simplest form?

mc005-1.jpg

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?

Samantha swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 12 minutes. If the river flows at 4 mph, how fast can Samantha swim in still water?

What is the solution to the equation ?

What is the solution to the equation 3(x – 1) – 2(2x + 1) = 8(x – 1)?

Which of the following is always irrational?

The area of a rhombus can be evaluated using the formula , where d1 represents the measure of one of its diagonals and d2 represents the measure of its other diagonal. When d1 is a terminating decimal and d2 is a repeating decimal, what can be concluded about the area of the rhombus?

Sam is determining the area of a triangle. In this triangle, the value for the height is a terminating decimal, and the value for the base is a repeating decimal. What can be concluded about the area of this triangle?

The sum of two rational numbers will always be

Sandra makes and sells bracelets. It costs her $2 to make each bracelet, plus a one-time cost of $15 for supplies. She plans to sell each bracelet for $5. Let x represent the number of bracelets. Which equation can be used to find the number of bracelets she needs to sell to break even?

What is the solution to the equation ?

What is the solution to the equation 9(w – 4) – 7w = 5(3w – 2)?

What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?

The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse by the formula a2 + b2 = c2.If a is a rational number and b is a rational number, why could c be an irrational number?

Mrs. Ramiriz is making pies to sell at the local farmer’s market. It costs her $5 to make each pie, plus a one-time cost of $30 for baking supplies. She plans to sell the pies for $12 each. Which equation can be used to find the number of pies she needs to sell to break even?

The sum of three consecutive even integers is 108. What is the largest number?

Which of the following is rational?

is

How do you know that the sum of and is rational?