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Lesson
Linear Equation
Solve the following equations:
1) 5x = -
2) 8x - 9 = 0
x =
4) 9x - 18 = 3x - 48
5) 6x - (4x - 1) = 2
6) 6(x + 5) = 7 x - (3 - x)
7) -9x + 1 + 7x = -2x + 6
2x
x
Solve the equation for x, where the letters a, b, and c represent constants.
9) ax - b = c, a ≠ 0
Solve the following equations:
x
x
11) (x + 7)(x - 1) = (x + 1)
12) x(6x - 1) = (6x + 1)(x - 5)
x + 5
2x + 1
x - 2
6x - 9
2x - 8
21x - 6
7x + 7
Solve the formula for the indicated variable.
15) F =
C + 32 for C
16) A = P(1 + rt) for t
17) An auto repair shop charged a customer $487 to repair a car. The bill listed $87 for parts and the
remainder for labor. If the cost of labor is $50 per hour, how many hours of labor did it take to
repair the car?
18) Inclusive of a 6.1% sales tax, a diamond ring sold for $2652.50. Find the price of the ring before the
tax was added. (Round to the nearest cent, if necessary.)
19) The perimeter of a triangle is 65 centimeters. Find the lengths of its sides, if the longest side is 7
centimeters longer than the shorter side, and the remaining side is 4 centimeters longer than the
shorter side.
20) It costs $21 per hour plus a flat fee of $30 for a plumber to make a house call. After writing an
equation for this situation, what is the total cost to have a plumber come to a house for 8 hours?
