Math 112 Review Problems
Add or subtract.
1.
2. 9   4 
5 15
3. 3   12 
4.
6.5   3.3
4.
0.025 1000
Multiply or divide.
1.
3   3   6 
2.
3.213
0.051
3.
72
36
Evaluate the expression for the given values of x and y
1.
2x  y
x  8, y  6
2.
x y
x  2, y  7
Write the fraction in simplest form
1.
15 x
20
38 x3 y 2
2.
84 x 2 y
16 x 2 y
3.
24 xy
Find the Square root.
1.
49
25
36
2.
Add and subtract the following and reduce to lowest terms.
1.
1 2

4 7
5
7

24 16
2.
3.
2
4
9
4.
5 3

12 4
Multiply or Divide the following and reduce to lowest terms.
1.
7 21

15 30
2.
 5  3 
  
 18   25 
5 12

6 15
3.  
4.
3 x  12 x 


8  16 
Perform the indicated operations.
1.
2 
3
6    12 
3 
4
7
8
2. 11  9
1
6
3.
7
3
  100 
10
4. 86
2
3
 27
15
10
Solve the following equations.
1.
5x  3x  7  8x 1  6
2. 3x  0.78  1.2  2 x
4.
x x 1
 
6 3 2
5.
3. 12  5t  6  t  2 
4  5x  3  2  7 x  6
6.
8
24 15

5
n
9
Simplify each expression.
1.
 4  2 y  3  x  3 y   3x
2. 5x  3  6 y  4x  3 y  4
3.
1 53
  
3 94
4.

5.
1
2 7 
 4  
6
 5 10 
6.
 34  8  514  16
1  3 1
  
2  4 8
2
3
7.
7  2  3  32
5  2  1
9.
 26  42  8  25
8. 3  10   5  3  7  2  
Simplify the complex fractions.
7 1

1. 10 2
4 3

5 4
x
4
3
2
8
1
2.
Write the fraction in simplest form.
1. Ratio of 1.68 to 4.6
2. Ratios of 2
2
13
to 1
3
15
Write the phrase as a mathematical equation then solve. Use x to represent “a number” .
1. Three added to twice a number is  16.
2. Four subtracted from three times a number is 11.
3. 40 subtracted from five times a number is 8 more than the number.
Write as a decimal.
1.
65%
2.
1
5
Add or subtract the polynomials.
1.
 2x
2
 3x  5    3x 2  2 x  8 
2.
x
3.
5x
2
 x  10    3 x 2  2 x  8 
4.
 2x
2
 12 x  14    x 2  23x  13
2
 3x  9    x 2  5 
Multiply.
1.
 x  6 x  4
2.
 x  3 x  5
3.
 x  2
2
Simplify.
1.
x4  x6
2.
 3x 
3 2
3.
 2x y   xy 
2
3
2 2
4.
5 y  3xy 
4
2
Convert.
1. 10 feet to inches
2. 8 yards to feet
3. 6 lb to ounces
Translate each to an equation then solve.
1. 18% of 81 is what number?
2. 48 is what percent of 50?
1
4
3. 7.2 is 6 % of what number?
Graph the following equations.
1.
y  2x  3
2.
2x  y  4
Find the perimeter of the geometric figures
1.
6 cm
8 in
2.
5 in
6 in
7 in
Find the area of the geometric figure.
1.
5 ft
6 ft
6 ft
8 ft
2.
3.
Solve the word problems.
1. Find the sales tax paid on a $75 purchase if the sales tax rate is 9.25%. Round to the nearest
cent.
2. Of the 1500 employees of some factory in one town, 390 are women. Find the percent of
women who work in the factory.
3. Mr. Smith’s class is going to Magic Mountain. Mr. Smith pays a total of $478.80 for 24 admission
tickets. How much does each ticket cost?
4. A map is drawn so that every 2.5 inches on the map represents 100 miles. If the actual distance
between two cities is 350 miles, find the distance between these cities on the map.
Find the hypotenuse of the right triangle.
1. The legs of a right triangle have lengths 8 and 15.
2. The legs of a right triangle have lengths 7 and 13. Round your answer to the nearest hundredth.