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Hotmath Practice Problems

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Title:
Hotmath Algebra 1
Author:
Hotmath Team
Chapter:Solving Linear EquationsSection:Solving Equations Involving Decimals and Fractions
 

Problem: 1

Round the given number to the tenths place.

–435.84246

 

Problem: 3

Round the given number to the tenths place.

2.0735 + 43.5591

 

Problem: 5

Round the given number to the tenths place.

2.41(3.68)

 

Problem: 7

Round the given number to the hundredths place.

6.3709

 

Problem: 9

Round the given number to the hundredths place.

–32.378 – 6.421

 

Problem: 11

Round the given number to the hundredths place.

–17.973(–6.579)

 

Problem: 13

Solve the given equation and approximate the result to the nearest hundredth. Check the rounded result.

28 = –16 + 7a

 

Problem: 15

Solve the given equation and approximate the result to the nearest hundredth. Check the rounded result.

–9x + 51 = –26

 

Problem: 17

Solve the given equation and approximate the result to the nearest hundredth. Check the rounded result.

16 – 7y = 7

 

Problem: 19

Solve the equation to the hundredths place. Verify your answer.

13x – 30 = 111

 

Problem: 21

Solve the equation to the hundredths place. Verify your answer.

–17 + 43a = 59

 

Problem: 23

Solve the equation to the hundredths place. Verify your answer.

30 = 15 – 10d

 

Problem: 25

Solve the equation to the hundredths place. Verify your answer.

237 = 77z – 41

 

Problem: 27

Solve the equation to the hundredths place. Verify your answer.

5(37 – 11x) = 81

 

Problem: 29

Solve the equation to the hundredths place. Verify your answer.

3(–5x + 9) = –x

 

Problem: 31

Solve the equation to the hundredths place.

16.94 – 2.27x = 17.57x – 13.25

 

Problem: 33

Solve the equation to the hundredths place.

5(3.29 + 1.69x) = 12.37x – 4.28

 

Problem: 35

Solve the equation to the hundredths place.

37.4x + 2.3 = –32.4 + 41.6x

 

Problem: 37

Solve the given equation and approximate the result to the nearest hundredth. Check the rounded result.

–34m + 73 = 47

 

Problem: 39

Solve the given equation and approximate the result to the nearest hundredth. Check the rounded result.

33 = 26x – 4

 

Problem: 41

Solve the given equation and approximate the result to the nearest hundredth.

48.27x + 3.26 = 51.98x

 

Problem: 43

Solve the given equation and approximate the result to the nearest hundredth.

3.85x – 3.98 = –5.92x

 

Problem: 45

Solve the given equation and approximate the result to the nearest hundredth.

9.82x – 8.93 = 8.62 + 14.84x

 

Problem: 47

Multiply the equation by a power of 10 in order to write an equivalent equation with integer coefficients.

–0.345y – 0.744 = 3.978y

 

Problem: 49

Multiply the equation by a power of 10 in order to write an equivalent equation with integer coefficients.

2.5n – 0.635 = 0.15n + 7.0

 

Problem: 51

You have $72.16 to spend on a pair of shoes. The sales tax is 7%. What is the maximum amount the shoes can cost?

Tax: 7%

 

Problem: 53

You have $9.26 to spend for dinner.

You want to leave at least a 12% tip. What is the maximum you can spend on dinner?