Practice solving one-step and multi-step linear equations, using slope and intercepts, and writing equations from real-world situations.
Read each problem carefully. Show your work in the space provided. Check your answer by substituting it back into the equation when possible.
Solving, graphing, and writing linear equations
Math - Grade 6-8
- 1
Solve for x: x + 7 = 19.
- 2
Solve for y: 4y = 36.
- 3
Solve for n: n/5 = 8.
- 4
Solve for a: 3a + 5 = 20.
- 5
Solve for m: 2m - 9 = 15.
- 6
Solve for p: 5p + 4 = 2p + 19.
- 7
Solve for x: 6(x - 2) = 30.
- 8
Solve for t: 4t + 3 = 2(t + 9).
- 9
A line has the equation y = 2x + 1. Complete the table for x = 0, 1, 2, and 3.
- 10
The graph of a line crosses the y-axis at 4 and rises 3 units for every 1 unit it moves to the right. Write the equation of the line in the form y = mx + b.
- 11
Find the slope of the line that passes through the points (2, 5) and (6, 13).
- 12
Write an equation for this situation: A taxi charges a starting fee of $3 plus $2 for each mile. Let x be the number of miles and y be the total cost in dollars.
- 13
A student saves $5 each week. She already has $12 saved. Write an equation for the total amount of money y after x weeks. Then find the amount after 8 weeks.
- 14
A line is shown passing through the points (0, -2) and (4, 6). Write the equation of the line in slope-intercept form.
- 15
The table shows a linear relationship: when x is 1, y is 7; when x is 2, y is 11; when x is 3, y is 15; when x is 4, y is 19. Write an equation that represents the relationship.