7th Grade Math Spiral Review: Linear Equations, Lines, and Statistics

Question 1

  1. Solve the equation for x: 3x + 7 = 22.

Answer: x = 5.

Question 2

  1. What is the slope of the line represented by the equation y = 2x + 3?

Answer: The slope is 2.

Question 3

  1. If the mean of the set of numbers {5, 7, 10, 12, x} is 9, what is the value of x?

Answer: x = 10.

Question 4

  1. A line passes through the points (2, 4) and (6, 8). What is the slope of this line?

Answer: The slope is 1.

Question 5

  1. Write the equation of a line in slope-intercept form that has a slope of 3 and passes through the point (1, 2).

Answer: y = 3x - 1.

Question 6

  1. Find the mean of the following set of numbers: {12, 15, 20, 18, 10}.

Answer: Mean = 15.

Question 7

  1. Solve the following equation: 5(x - 3) = 2x + 6.

Answer: x = 7.

Question 8

  1. For the line equation y = -4x + 5, what is the y-intercept?

Answer: The y-intercept is 5.

Question 9

  1. If the mean of 6 numbers is 14, what is the total sum of the numbers?

Answer: Total sum = 6 * 14 = 84.

Question 10

  1. Determine the slope of the line that passes through the points (3, 5) and (3, 9). What type of line is this?

Answer: The slope is undefined; it is a vertical line.

Notes

This spiral review includes problems on linear equations, the concept of lines, and calculating the mean in statistics. Each problem is designed to reinforce skills and maintain mathematical fluency.