Solving One-Variable Inequalities — Unit test Answers

What is the value of x in the equation ?

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x = 3x + 15 – 113x – 4 = 3x + 4

What value of x is in the solution set of 2x – 3 > 11 – 5x?

Solve the equation.–9x + 1 = –x + 17

What is the solution to the linear equation?6k + 10.5 = 3k + 12

Step 1: –10 + 8x < 6x – 4Step 2: –10 < –2x – 4Step 3: –6 < –2xStep 4: ________

The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use.0.05m + 12What is the constant in the expression?

Which input value produces the same output value for the two functions on the graph?

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house?

A plumber uses the expression 48 + 25h to determine the number of dollars to charge each customer. If h = 4, how much does the customer pay?

Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

Which number line represents the solutions to –2|x| = –6?

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.

Simplify the expression shown.3x + 2 – 3x + 7 +5xWhat is the coefficient in the simplified expression?

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

Kari and Samantha have determined that their water-balloon launcher works best when they launch the balloon at an angle within 3 degrees of 45 degrees. Which equation can be used to determine the minimum and maximum optimal angles of launch, and what is the minimum angle that is still optimal?

The formula to convert °F to °C is C = (F – 32).Convert 50°C to °F.

Solve the equation.y + 3 = –y + 9

Johan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. Which explains whether his solutions are correct?