Solving Linear Equations: Variable on One Side — Unit test Answers

The inequality graphed below represents the ages, a, of players on a baseball team.

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

Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?

In order to be invited to tutoring or extension activities, a student's performance must be at least 20 points higher or lower than an average score. If the average score is 105, which inequality represents p, the scores for students who are eligible for tutoring or extension activities?

Rahul solved the equation 2(x – ) – x = . In which step did he use the addition property of equality?

Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours or after working more than 9 hours. How can this be written as a single compound inequality?

What is the value of n in the equation ?

Solve the equation.y + 3 = –y + 9

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

What is the value of x in the equation ?

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?

Solve the equation.–9x + 1 = –x + 17

Solve the inequality.2(4x – 3) ≥ –3(3x) + 5x?

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.

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

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

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

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.