Download Solving Equations with Decimals

Practice
Name
Solving Equations with Decimals
5-7
Explain how to get the variable alone in each equation.
1. 7n 5 6.3
2. x 4 3.2 5 8
3. 67.3 5 3.2q
Divide both
Divide both Multiply both
sides by 3.2.
sides by 3.2.
sides by 7.
For 4 through 9, solve each equation. Check your answers.
4. x 4 8 5 5.6
x 5 44.8
7. 56 5 1.4t
5. p 3 3.4 5 7.48
p 5 2.2
8. n 4 2.1 5 12
6. 4z 5 50.8
z 5 12.7
t 5 40
n 5 25.2
9. 5 5 s 4 3.7
s 5 18.5
10. Sonja purchased some pens that cost 65 cents each. She spent a
total of $9.10. How many pens did she purchase? Write an equation
to describe the situation and solve.
0.65x 5 9.1; 14 pens
11. Critical Thinking If 32n 5 99.2, then what is the value of the expression 8n?
A 3.1
B 12.4
C 24.8
D 32
12. Which equation has the same solution as m 4 2.6 5 3.5?
A m 4 3.5 5 2.6
C 2.6m 5 3.5
B m 4 9.1 5 2.6
D 3.5m 5 2.6
13. Writing to Explain Tell how you would get the variable p alone on one side
of the equation 32.4 5 4p.
Sample answer: Since 4p means 4 times p,
undo multiplication by dividing both sides
of the equation by 4.
P 5•7
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