Page 105 - Algebra 1

Practice Distributed and Integrated
Simplify.
1. 2 + 5 - 3 + 7 - (-3) + 5
(10)
2. 3(7) + 5 - 3 + 7 - 9 ÷ 2 (4)
3. Represent the following numbers as being members of set K: -2, -1, -4, -1, -3, (1) -1, -5, -3.
Determine if each statement is true or false. If true, explain why. If false, give a counterexample.
4. The set of whole numbers is closed under multiplication. (1)
5. All integers are whole numbers. (1)
Simplify by using the Distributive Property. 6. -4y(d + cx)
(15)
Evaluate the expression for the given values. *8. pa[-a(-a)] when p = 2 and a = -1
7. (a + bc)2x (15)
(16)
*9. x(x-y)whenx=_1 andy=_6
(16)_5 5
(x - 3 )2
*10. y when x = -5 and y = 2
(16)
11. 4(b + 1)2 - 6(c - b)4 when b = 2 and c = 7 (9)
12. Geometry The measure of one side of a square is 5x + 1 meters. What expression (15) would be used for the perimeter of the square? Explain.
13. Identify the property illustrated in the equation 2 + (1 + 7) = (2 + 1) + 7. (12)
*14. Multiple Choice A fish tank empties at a rate of v = 195 - 0.5t, where v is the
(16) number of liters remaining after t seconds have passed. If the fish tank empties for
20 seconds, how many liters remain?
A 205 B 185
C 175 D 174.5
*15. Multi-Step A solid, plastic machine part is shaped like a cone that is 8 centimeters (16) high and has a radius of 2 centimeters. A machinist has removed some of the
plastic by drilling a cylindrical hole into the part’s base. The hole is 4 centimeters
deep and has a diameter of 1 centimeter.
a. Determine the volume of the cone. Use the formula V = _1 πr2h. 3
b. Determine the volume of the cylindrical hole. Use the formula V = πr2h.
c. Determine the volume of the plastic machine part by subtracting the volume of
the cylindrical hole from the volume of the cone.
r = 2 cm
90
Saxon Algebra 1
h = 8 cm