Solving Simple, Multi-Step Equations And Equations With Variables On Both Sides Worksheet Page 31
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40Exercises
1.4
Help with Homework
3
Is −2x =
1.
VOCABULARY
—
a literal equation? Explain.
8
2.
DIFFERENT WORDS, SAME QUESTION
Which is different? Find “both” answers.
Solve 4x − 2y = 6 for y.
Solve 6 = 4x − 2y for y.
Solve 4x − 2y = 6 for y in terms of x.
Solve 4x − 2y = 6 for x in terms of y.
3. a. Write a formula for the area A
4. a. Write a formula for the volume V
of a triangle.
of a prism.
b. Solve the formula for b.
b. Solve the formula for B.
c. Use the new formula to fi nd the
c. Use the new formula to fi nd the
base of the triangle.
area of the base of the prism.
2
A
36 mm
3
V
36 in.
h
6 mm
h
6 in.
b
B
Solve the equation for y.
1
1
x + y = 4
6. 3x +
y = 7
7. 6 = 4x + 9y
5.
—
—
1
1
3
5
8. π = 7x − 2y
9. 4.2x − 1.4y = 2.1
10. 6y − 1.5x = 8
✗
11.
ERROR ANALYSIS
Describe and correct the
2x − y = 5
error in rewriting the equation.
y = −2x + 5
The formula K = C + 273.15
12.
TEMPERATURE
converts temperatures from Celsius C to Kelvin K.
a. Solve the formula for C.
b. Convert 300 Kelvin to Celsius.
I
$75
The formula for simple interest is I = Prt.
P
$500
13.
INTEREST
r
5%
a. Solve the formula for t.
t
b. Use the new formula to fi nd the value of t in the table.
30
Chapter 1
Equations
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