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Summer Work
More Practice!
1. Express {(4, 1), (–1, 4), (3, –2), (–1, 1)} as a mapping.
Then determine the domain and range.
2. Justin bought several movie DVDs for $15 each.
Complete the statement: Justin’s Identify the independent variable:
Identify the dependent variable: depends on .
3. Determine whether each relation is a function. Explain how you know.
X
1
–4
7
1
Y
5
–3
6
–2
4. If Justin bought several movie DVDs for $15 each, an equation that models his total cost in terms of the number of DVDs he buys would be f(x) = 15x.
Find f(8) and explain what f(8) represents.
5. Solve the equation:
1
k
2
1
k
2
-3 = 2-
-3 = 2-
1
k
2
3
k
4
3
k
4
-3 = 2-
3
k
4
6. Solve the equation: 3(-­‐2 - 3x) = -9x – 4
7. The formula for the volume of a cone is
Solve this formula for h.
V =
1
3
r2h
8. The formula for the area of a trapezoid is 1
A = 2 h(b 1 + b2 )
Solve this formula for b
2
9. Solve the formula for w: 9y = 3w - 7
x
10. CENSUS The table shows the population
density for the state of Texas in various
years. Find the average annual rate of
change in the population density from
2000 to 2009.
11. Graph the line
y =
-2
3
x-4
12. Solve the inequality:
5x – 7 < 14 – 4(3x – 2) + 5
13. Solve the inequality:
-7
2
x - 8 > 27
14. The sum of four consecutive multiples of 6 is 324. Write an equation and solve it to find the numbers.