This document contains math word problems involving fractions, decimals, and percentages. It includes converting between fractional and decimal representations of quantities, performing calculations with decimals and percentages, finding percentages of quantities, and solving multi-step word problems involving fractions, decimals, and percentages. The problems cover a range of skills including simplifying fractions, adding and subtracting decimals, finding percentages of numbers, and applying multiple operations to data presented in word problems, diagrams, and tables.
More companies in the process of recruitment, play more emphasis in the topic of numbers in numerical aptitude. Especially for AMCAT aspirants this is very much useful.
Final Exam Name___________________________________Si.docxcharlottej5
Final Exam Name___________________________________
Silva Math 96 Spring 2020
YOU MUST SHOW ALL WORK AND BOX YOUR ANSWERS FOR CREDIT. WORK ALONE.
Solve the absolute value inequality. Write your answer
in interval notation.
1) |2x - 12 |> 2
Solve the compound inequality. Graph the solution set.
Write your answer in interval notation.
2) -4x > -8 and x + 4 > 3
Solve the three-part inequality. Write your answer in
interval notation.
3) -1 < 3x + 2 < 14
Solve the absolute value equation.
4) 4x + 9 = 2x + 7
Solve the compound inequality.
5) 3( x + 4 ) ≥ 0 or 4 ( x + 4 ) ≤ 4
Solve the inequality. Graph the solution set and write
your answer in interval notation.
6) |5k + 8| > -6
Solve the inequality graphically. Write your answer in
interval notation .
7) x + 3 ≥ 1
x-8 -6 -4 -2 2
y
8
6
4
2
x-8 -6 -4 -2 2
y
8
6
4
2
1
Graph the system of inequalities.
8) 2x + 8y ≥ -4
y < - 3
2
x + 6
x-10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y
10
8
6
4
2
-2
-4
-6
-8
-10
Find the determinant of the given matrix.
9) 10 5
0 -4
Use Cramer's rule to solve the system of linear
equations.
10) 6x + 5y = -12
2x - 2y = -4
Write a system that models the situation. Then solve the
system using any method. Must show work for credit.
11)A vendor sells hot dogs, bags of potato chips,
and soft drinks. A customer buys 3 hot dogs,
4 bags of potato chips, and 5 soft drinks for
$14.00. The price of a hot dog is $0.25 more
than the price of a bag of potato chips. The
cost of a soft drink is $1.25 less than the price
of two hot dogs. Find the cost of each item.
Use row reduced echelon form to solve the system.
12) x + y + z = 3
x - y + 4z = 11
5x + y + z = -9
2
Find the domain of f. Write your answer in interval
notation.
13) f(x) = 13 - 9x
If possible, simplify the expression. If any variables
exist, assume that they are positive.
14) 2x + 6 32x + 6 8x
Match to the equivalent expression.
15) 100-1/2
A) 1
1000
B) 1
10
C) 1
100
D) 1
10
Write the expression in standard form.
16) (5 + 8i) - (-3 + i)
Simplify the expression. Assume that all variables are
positive.
17) 5 t
5
z10
Solve the equation.
18) 3x + 1 = 3 + x - 4
Write the expression in standard form.
19) 3 + 3i
5 + 3i
3
Write the equation in vertex form.
20) y = x2 + 5x + 2
The graph of ax2 + bx + c is given. Use this graph to solve
ax2 + bx + c = 0, if possible.
21)
x-5 5 10
y
50
40
30
20
10
-10
-20
-30
-40
-50
x-5 5 10
y
50
40
30
20
10
-10
-20
-30
-40
-50
Solve the equation. Write complex solutions in standard
form.
22) 4x2 + 5x + 5 = 0
Graph the quadratic function by its properties.
23) f(x) = 1
3
x2 - 2x + 3
x
y
x
y
Solve the equation. Find all real solutions.
24) 2(x - 1)2 + 11(x - 1) + 12 = 0
Solve the problem.
25) The length of a table is 12 inches more than its
width. If the area of the table is 2668 square
inches, what is its length?
4
Solve the equation..
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1. 1
FRACTIONS – DECIMAL – PERCENTAGE
1)
4 x 210 =
2 ) Diagram 1 is made up of several shapes that are equal in form and size.
DIAGRAM 1
Write the fraction in the simplest form representing the shaded area from the whole diagram.
3 ) Diagram 1 is made up of several circles of the same size.
DIAGRAM 1
Write the fraction, in the simplest form, to represent the shaded areas from the whole
diagram.
2. 2
4 )
- =
5) Diagram 2 is made up of a rectangle divided into six squares of equal size.
DIAGRAM 2
The fraction of the shaded parts in the simplest form is
6) Diagram 3 shows three circles divided equally into several sections of equal size.
DIAGRAM 3
The fraction as a mixed number for the diagram is
3. 3
7)
The number of pineapples in a stall is 36. If are still unsold, what is the number already
sold?
8) State 3 in decimal.
9 ) 38.6 + 3.73 =
10 ) 0.11 converted to fraction becomes
5. 5
15) 14% of 350
16) Hafiz has 550 marbles. 36% of them are blue in colour. What is the number of marbles that
is not blue?
17 ) 35% of 340 - 40% of 190 =
6. 6
18) 16% of 150.
19) Diagram 4 shows the volume of a container of batik chemical.
Diagram 4
A batik worker used 70% of the batik chemical. How much of the volume, in l, of batik
chemical is left?
20) Convert to percentage