Page 122 - Algebra 1

Practice Distributed and Integrated
1. Simplify -3x2ym + 7x - 5ymx2 + 16x. (18)
Solve each equation. *2. x+5=7
(19)
*3. x + 5 = -8 (19)
*4. x-6=4 (19)
5. Write the algebraic expression for the phrase “seven times the sum of a number (17) and -5.”
6. Expand the expression -3(-x - 4) by using the Distributive Property. (15)
7. Simplify xm2xm3x3m. (3)
8. Identify the property illustrated by 3 + 8 = 8 + 3. (12)
9. Write True or False: -54 = (-5)4. Explain. (11)
10. Sandra lost 8 points for incorrect answers on her quiz, but gained 5 points for a (10) bonus question. What is the sum of points Sandra lost and gained?
*11. Error Analysis A teacher asked two students to solve the following equation (19) for x: x + _1 = _4 . Which student is correct? Explain the error.
39
Student A
x+_1 +_1 =_4 +_1 3393
x=_4 +_3 99
x = _7 9
Student B
x+_1 -_1 =_4 -_1 3393
x=_4 -_3 99
x = _1 9
*12. Multiple Choice A swimming pool is _4 full. A maintenance man removes some of (19) _1 5
the water so that the pool is 3 full. As a fraction of the pool’s total capacity, how
much water did the maintenance man remove?
A _1 B _3 C _7 D _17 5 2 15 15
*13. Chemistry Many chemists use kelvins to describe temperatures. To convert from (19) a temperature in degrees Celsius to kelvins, a chemist will use the equation
TCelsius + 273.15 = Tkelvin. If a gas cools to a temperature of 325.20K, what is its temperature in degrees Celsius?
*14. Business A movie theater needs to sell 3500 tickets over a single weekend to cover (19) its operating expenses before it starts making a profit. If it sells 1278 tickets on
Friday, what is the minimum number of tickets it needs to sell over the rest of the weekend in order to make a profit? Write an equation and then solve it.
Lesson 19 107