Solving Simple, Multi-Step Equations And Equations With Variables On Both Sides Worksheet Page 25
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40Solve the equation. Check your solution, if possible.
18. x + 6 = x
19. 3x − 1 = 1 − 3x
20. 4x − 9 = 3.5x − 9
3
3
4 4
1
1
1
x +
x = x + 1
22. 3x + 15 = 3(x + 5)
(9x + 3) = 3x + 1
21.
—
—
23.
—
3
2
2
24. 5x − 7 = 4x − 1
25. 2x + 4 = −(−7x + 6)
26. 5.5 − x = −4.5 − x
8
27. 10x −
− 4x = 6x
28. −3(2x − 3) = −6x + 9
29. 6(7x + 7) = 7(6x + 6)
—
3
✗
30.
ERROR ANALYSIS
Describe and correct
−4(2n − 3) = 12 − 8n
the error in solving the equation.
−8n + 12 = 12 − 8n
−8n = −8n
31.
OPEN-ENDED
Write an equation with
0 = 0
variables on both sides that has no solution.
The solution is n = 0.
Explain why it has no solution.
32.
GEOMETRY
Are there any values of x for which the areas of the fi gures are the
same? Explain.
1 cm
2 cm
x cm
(x
1) cm
33.
SATELLITE TV
Provider A charges $75 for installation and charges $39.95 per month
for the basic package. Provider B offers free installation and charges $39.95 per
month for the basic package. Your neighbor subscribes to Provider A the same
month you subscribe to Provider B. After how many months is your neighbor’s
total cost the same as your total cost for satellite TV?
34.
PIZZA CRUST
Pepe’s Pizza makes 52 pizza
crusts the fi rst week and 180 pizza crusts each
subsequent week. Dianne’s Delicatessen makes
26 pizza crusts the fi rst week and 90 pizza crusts
each subsequent week. In how many weeks will
the total number of pizza crusts made by Pepe’s
Pizza equal twice the total number of pizza crusts
made by Dianne’s Delicatessen?
35.
PRECISION
Is the triangle an equilateral
2x
5.2
3x
1.2
triangle? Explain.
2x
6.2
24
Chapter 1
Equations
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