Transcript 1st 6 wks review sheet

Name: ________________________________ Period: _____________ Date: ________________
Algebra IA
First Six Weeks Assessment
Review Sheet
Simplify.
1.
5 x  3(2 x  1)  4
2.
11  (2 y  3)  4 y
3.
2  7a  5  a
4. Find the perimeter of the triangle.
4c  2
c 1
1  (3c  5)
Solve.
5.
 3(2 x  1)  4 x  5
6.
1
4
t  1  (5t  5)
2
5
7.
5  (3 f  4)  2(6  f )
8. Identify the last step in solving the following equation: 5x 10  30
a. divide both sides by 5
b. add 10 to both sides
c. multiply both sides by 5
d. subtract 10 from both sides
C  2r
9. Solve for r.
(b1  b2 )h
2
10. Solve for h.
A
11. Solve for w.
P  2l  2w
12. Solve for y.
 10 x  5 y  15
For 13-14, write the equation represented by the statement, then solve.
13. The sum of a number n and -12 is 3 more than the product of -2 and
the same number, n.
14. The quotient of twice a number and 4 is -12.
15. Gabby is building a dog house with old pieces of lumber. She knows that 15
inches more than quadruple the length of her first piece of lumber will equal
47 inches. What is the length of her first piece?
a. -3.25 inches
b. 8 inches
c. 15.5 inches
d. 60 inches
16. If the two angles pictured form complimentary angles, which equation could
be used to find the value of x?
a. ( x  2)  (4 x  5)  180
x+2
b. ( x  2)  (4 x  5)
4x - 5
c. ( x  2)  (4 x  5)  90
d. (5 x  7)  90
17. If the two angles pictured form vertical angles, which equation could
be used to find the value of x?
a. (3a  4)  (7a  3)  180
b. (3a  4)  (7a  3)
c.
3a - 4
(3a  4)  (7a  3)  90
d. (10a  7)  180
18. Use the diagram to find the value of x.
(2x + 4) °
(3x + 1) °
90°
19. Use the diagram to find the value of x.
B
C
110°
(2x – 6)°
A
(x + 2)°
(4x)°
D
7a + 3
20. If the perimeter of this rectangle is 30 cm, find the length and the width.
(3x + 1) cm
(x – 4) cm
6 feet
21. Hector wants to paint the sides of his home.
Use the picture to determine how many square
feet he will have to paint.
12 feet
75 feet
45 feet
22. Ray has a spherical plastic container that he uses to transport water. If the
diameter of the container is 14 inches, approximately how much water can he fill
it with?
a. -1436 in3
b. -11,488 in3
c. 1436 in3
d. 11,488 in3
23. Roxy’s room is shaped like a trapezoid. Using the diagram below, determine
how many square feet of new carpet she needs to purchase to replace her old
carpet.
a. 273 ft2
18 ft
b. 84 ft2
c. 321
13 ft
ft2
d. 174 ft2
24 ft