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MAT 081 Web Practice Final
Spring 2014
Be sure to show your work for full credit.
1. Insert <, >, or = to make the statement true. 6 ____ −8
2. Multiply or divide as indicated. Write the answer in lowest terms.
4 5
− ÷ 
5 6
3. Add or subtract as indicated. Write the answer in lowest terms.
7 5
− +
9 6
4. Simplify the expression.
[ 18 – 3(1 + 6) ÷ 7] – [1 + 25 ÷ 5]
5. Simplify the expression.
( -7)(11) – (13)(-2)
Name_______________________________
6. Write the following as an equation, using x for the unknown number. Then solve.
If 4 times a number is subtracted from -5, the result is equal to 11 times the number. Find the number.
7. Solve. Round to one decimal place.
35 is 15% of what number?
8. Determine if the relation, S, is a function. Also give the domain and the range.
S = (1,2), (4,5), (7,5), (5,4), (2,2), (3,3), (6,4)
9. Solve the inequality. Graph the solution set.
15 – 30x > 5(2x – 9)
10.Complete the ordered pairs so that it is a solution of 2x +3y = -6 and graph.
10
8
x
6
y
4
0
2
0
-10 -8 -6 -4 -2
-6
2
-2
-4
-4
-6
-8
-10
11. Solve the equation.
15 1
7
− x=
x
3 6
3
12. Simplify the expression. First use the distributive property to remove any parentheses.
-2(4x – 5) + 7(x – 6)
13. Find an equation of the line through the pair of points. Write the equation in the form Ax + By = C.
(3, -1) and (1, -4)
4
6
8 10
14. A rectangle is twice as long as it is wide and its perimeter is 48 cm. Find the dimensions of the rectangle.
15. Solve the system of equations.
5x − 3 y =
4
3x + 2 y =
10
16. Write the number in scientific notation. 0.00323
For numbers 17 – 20, name the property illustrated. Properties to choose from: the Commutative Property of Addition or
Multiplication, the Associative Property of Addition or Multiplication, and the Distributive Property.
17. 3 ∙ 5 = 5 ∙ 3
18.
19. (2
20.
+ a) – 3b = 2 + (a – 3b)
2(3 + 4) = 6 + 8
x+6=6+x
21. Use the quotient rule to simplify the expression.
24a 7b 2
16a 2b3
22. Multiply. (2x – 5)(3x + 7)
23. Simplify the expression. Write the result using positive exponents only.
( xy ) ( y )
2 2
2 −3
24. In 2009 and 2010, the IRS collected a total of $8 trillion in taxes. The IRS collected $0.6 trillion more in 2010 than in
2009. How much did the IRS collect in each year?
25. Is the following graph the graph of a function? Why/why not?
Solve for x:
26.
mx + nx = mn
27. Perform the division.
15m8 − 10m5 + 20m3
5m 2