Solving Simple, Multi-Step Equations And Equations With Variables On Both Sides Worksheet Page 36
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40Solve the equation. Check your solution, if possible.
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1
7. 5m − 1 = 4m + 5
8. 3(5p − 3) = 5(p − 1)
n +
=
(n + 4)
9.
—
—
—
5
10
2
1
1
10. 7t + 3 = 8 + 7t
(15b − 7) = 3b − 9
(12z − 18) = 2z − 3
11.
—
12.
—
5
6
1.4
1.4
Rewriting Equations and Formulas
(pp. 26 –31)
a. Solve 7y + 6x = 4 for y.
+ 6x = 4
7y
Write the equation.
+ 6x
− 6x
= 4
− 6x
7y
Subtraction Property of Equality
= 4 − 6x
7y
Simplify.
4 − 6x
7y
=
—
—
Division Property of Equality
7
7
4
6
y =
−
—
—
x
Simplify.
7
7
b. The equation for a line in slope-intercept form is y = mx + b. Solve the
equation for x.
y =
+ b
mx
Write the equation.
− b
=
+ b
− b
y
mx
Subtraction Property of Equality
y − b =
mx
Simplify.
y − b
mx
=
—
—
Division Property of Equality
m
m
y − b
= x
—
Simplify.
m
Solve the equation for y.
13. 6y + x = 8
14. 10x − 5y = 15
15. 20 = 5x + 10y
9
16. a. The formula F =
(K − 273.15) + 32 converts a temperature from Kelvin K
—
5
to Fahrenheit F. Solve the formula for K.
b. Convert 240 °F to Kelvin K. Round your answer to the nearest hundredth.
8 cm
17. a. Write the formula for the area A of
a trapezoid.
2
A
72 cm
8 cm
7 cm
b. Solve the formula for h.
h
c. Use the new formula to fi nd the
height h of the trapezoid.
16 cm
Chapter Review
35
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