Page 98 - Algebra 1

Practice Distributed and Integrated
Evaluate.
1. -7(-8+3)
(15)
3. Evaluate √ 10 ,00 0. (13)
2. 5(-3-6) (15)
4. Solve c = √ 25. (13)
*5. Multi-Step In a shipment of 800 eggs, the probability of an egg breaking is _2 . (14) 25
How many are likely to be broken in the shipment? Justify the answer.
6. The digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are written on cards that are shuffled (14) and placed face down in a stack. One card is selected at random. What is the
probability that the digit is odd and greater than 5?
*7. Inabucketthereare10ballsinabucketnumbered1,1,2,3,4,4,4,5,6,and6. (14) A single ball is randomly chosen from the bucket. What is the probability of
drawing a ball with a number less than 7? Explain.
*8. Multiple Choice Simplify the expression -5(x + 6). Which is the correct (15) simplification?
A -5+x-11 B -5x+1 C -5x+30 D -5x-30 *9. Find the value of y in the equation 18 - x = y if x = -4.
(6)
10. The water level of the reservoir in Austin, Texas, was 3 feet below normal. After a (5) heavy rain storm, the water level increased to 5 feet above normal. How much did
the rain storm change the water level?
11. Error Analysis Two students evaluated a numeric expression. Which student is
(15) correct? Explain the error.
12. Write Evaluate the expression -8(9 - 15) using the Distributive Property. Explain. (15)
*13. Surveying The county surveyed a piece of property and divided it into (15) equal-sized lots. Use the diagram to write an expression that requires the
Distributive Property to evaluate it. Evaluate the expression to find the total number of lots on the property.
47
6
*14. True or False: m + 0 = m. Justify your answer using the properties. (12)
Student A
-8(-5 + 14) = 40 - 112 = -72
Student B
-8(-5 + 14) = -13 + 6
= -7
Lesson 15 83