Which of the following statements are true? (Possibly more than one answer) a. To solve. , you can subtract 5s from each side of the equation. b. The ...
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Algebra Chapter 1 Review Directions: Solve each problem. SHOW ALL WORK. 1.
2. −
2 = 7
a. b = –1 b. b = –5
c. b = 5 d. b = 1
a.
c.
3 4 29 28 b. 13 y = 28
29 28 d. 13 y = − 28
a. x = –1.8 b. x = 5
c. x = –1.2 d. x = 0.45
a. h = 60 b. h = 9
c. h = 48 d. h = 324
a. n = –4 b. n = 10
c. n = –10 d. n = 8
y =
y = −
3.
4.
5.
6. a. b = 12 b. b = 84
c. b = 4 d. b = 16
a. v = –4.3 b. v = –2
c. v = 6 d. v = 2
a. b = 2 b. b = 36
c. b = –2 d. b = –36
a. n = –72.5 b. n = –11.6
c. n = –23.2 d. n = –36.25
a.
c. c = 11
7.
8.
9.
10.
1 11 b. 1 c = − 11 c =
d. c = −11
11. a. d = −5
c.
b.
d. d = 5
d =
1 5
d = −
1 5
12. a. b.
no solution –3; one solution
c. d.
0 ; one solution infinitely many solutions
13. a. b.
c. infinitely many solutions
1 ; one solution 8 0; one solution
d. no solution
MULTIPLE RESPONSE 14. Which of the following statements are true? (Possibly more than one answer) a. To solve , you can subtract 5s from each side of the equation. b. The equation is an identity. c. The solution of is all real numbers. d. The equation
has one solution,
15. Which equations are equivalent to the given literal equation?
a.
c.
b.
d.
2.
NUMERIC RESPONSE 16. The height of a tree is 38 inches. After 4 years, the height is 9 feet 10 inches. How many inches did the tree grow each year?
SHORT ANSWER 17. You work at a carnival for 7.5 hours. You earn $71.25. How much do you earn per hour?
18. The temperature of dry ice is –109.8°F. This is 184.4°F less than the outside temperature. What is the outside temperature?
19. You have $135 in a savings account and save $12 per week. Your friend has $95 in a savings account and saves $20 per week. How many weeks will it take for you and your friend to have the same balance?
20.
21.
22.
23.
24. The street sign shown is a regular hexagon with side lengths of ( of the sign is 737.28 centimeters.
) centimeters. The perimeter
7.6x + 10.4
a. Write and solve an equation to find the side length of the street sign.
b. There are 27 of these street signs throughout town. A special reflective border needs to be put around the edge of each sign so that it can be seen at night. How many meters of reflective border are needed?
Match the equation below with its solution. a. b. c.
