Page 582 - Algebra 1

Practice Distributed and Integrated
Solve and graph the solution set. 1. 15y < 60
(70)
Factor completely.
3. -2g2 -8g+90
(79)
2. 16 < 6x + 10 OR -16 > 6x - 10 (82)
4. 20b2 +21b-5 5. -13w2 +38w-25 (75) (79)
Write each equation in the standard form of a quadratic function, if possible.
6.
(84)
*8.
(86)
9.
(70)
10.
(71)
11.
(73)
12.
(76)
13.
(77)
14.
(78)
15.
(8 0)
16.
(81)
y - 14x = -20x2 7. x - 5x = -2x2 + 7 (84)
Find the distance between (4, -1) and (7, 3) using the distance formula.
Personal Finance George’s credit card company offers 4% cash back on all purchases. Write and solve an inequality to determine how many charges he needs to make in one year to earn at least $100 cash back.
Use the table to determine if there is a positive correlation, a negative correlation, or no correlation between the data sets.
Multi-Step A real number is at most 13 and at least 5.
a. Write two separate inequalities to describe the problem.
b. Write the two inequalities as one compound inequality. c. Graph the compound inequality.
Carpentry Louis is building a new rectangular room onto his house. The room has a side length of 3 + √ 15 feet and a width of 4 + √ 36 feet. What is the area of Louis’s new room?
x
2
4
6
8
10
12
y
12
25
40
51
61
75
Multi-Step The temperature in Texas has never been above 120 degrees Fahrenheit. Describe this using Celsius temperature by solving the inequality 120 ≥ _9 C + 32.
5 Write How do changes to the value of c affect the graph of y = _a + c?
x-b
A sandwich maker chooses a meat and a vegetable at random to put on a sandwich. There are three meats: turkey, ham, and chicken. There are 5 vegetables: lettuce, tomato, cucumber, onion, and peppers. Make a table of the possible outcomes.
Hobbies Kelly goes to a local store that has a monthly fee of $5 and rents games there for $1.75 a week. An online company has no monthly fee but rents games for $2.25 a week. How many games would Kelly have to rent per month for the local store to be the better deal?
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