Exam 3: Linear Equations and Inequalities in Two Variables; Functions

Choose the one alternative that best completes the statement or answers the question Solve the equation. -4(x + 5) - ( 4x + 20) = 0

Choose the one alternative that best completes the statement or answers the question. -Tell whether you would use the addition or multiplication property of equality to solve the equation: .

Provide an appropriate response. -Explain why the equation = has no solution.

Solve the problem. -Mardi received an inheritance of $ 60,000. She invested part at 4% and deposited the remainder in tax-free bonds at 6%. Her total annual income from the investments was $ 2800. Find the amount invested at 4%.

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Find the measure of an angle if its supplement measures 50° less than 3 times its complement.

Solve the inequality and write the solution set in interval notation. -18x > 0

Translate the statement into an inequality. Use x as the variable. -Ethan could spend at most 60 minutes per day playing video games.

Solve the problem. -A merchant has coffee worth $ 30 a pound that she wishes to mix with 30 pounds of coffee worth $ 80 a pound to get a mixture that can be sold for $ 40 a pound. How many pounds of the $ 30 coffee should be used?

Solve the equation. -16x + 9x - 8x = 34

Solve the inequality and graph the solution set. --5x + 2(x - 8) $\ge$ 9x - ( 3 + 3x) - 76

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -The appliance store where the Jordans shop offers a 5% discount for paying cash. The Jordans received a discount of $ 47. What was their total bill before the discount? Round to the nearest dollar.

A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not given. -V = Bh; V = 12, h = 3

Multiply by powers of 10. -28.997 × 10

Choose the one alternative that best completes the statement or answers the question. Solve the problem. -Find the measure of an angle, if its supplement measures 42° more than twice its complement.

Solve the problem. -Find the missing length in the similar triangles.

Solve the problem. -It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now has 30 liters of 20% solution. How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?

Solve the problem. -One side of a triangle is twice as long as a second side. The third side of the triangle is 15 feet long. The perimeter of the triangle cannot be more than 30 feet. Find the longest possible values for the other two sides of the triangle.

Solve the equation. -1.3x - 4.8 = 0.7x + 0.78

Choose the one alternative that best completes the statement or answers the question Solve the equation. -10n = 4n + 6 + 5n

Solve the equation. --6.6x = -66 - 1.1x