Build algebraic fluency by solving linear equations, writing equations from two points, and interpreting slope-intercept form.
Solve each equation or problem. Show all algebraic steps. Leave fractions in simplified form.
Solve one- and two-step equations, graph lines, and interpret slope and intercept.
Math - Grade 9-12
- 1
Solve for x: 3x - 7 = 14.
- 2
Solve for x: 2(x + 5) = 18.
- 3
Write the equation of a line that passes through (0, 3) with a slope of -2.
- 4
Find the slope of the line passing through (2, 5) and (6, 13).
- 5
Solve for x: 4x + 3 = 2x - 9.
- 6
Find the x-intercept of the line y = 3x - 9.
- 7
A phone plan charges $30 per month plus $0.10 per text message. Write an equation for the total cost C in terms of the number of texts t.
- 8
Using the equation from the previous problem, how many texts were sent if the monthly bill was $55?