1. Put your name, the date, and the period on your paper.
Students will review Semester 1 Algebra objectives and prepare for Re-Test of semester benchmark exam.

2. 12x
– 18
+ 5x =
15x
– 15
– 7
17x
– 18 =
15x
– 22
– 15x
– 15x 2x
– 18 =
– 22
2x =
– 4 2 2
x =
– 2

3. RISE
RUN
RUN
RISE 2 5
DOWN
NEGATIVE!

4. V = length • width • height
Each edge is
2.5 cm.
The “base” (bottom) is a square.
Area = length • width
2.5 • 2.5 =
6.25 cm 2
Perimeter means add all edges of the bottom…
or multiply times 4.
P = 2.5 • 4 =
10 cm
V = length • width • height
V = • • 2.5
V= B•h
“area of the base” times height
cm 3
A cube has 6 faces… all squares!
2.5 • 2.5 • 6 =
37.5 cm 2

5. ADD ALL SIDES! 220 in 2 List all the sides: Area = length • width
FRONT =
BACK =
LEFT =
RIGHT =
TOP =
BOTTOM =
Area = length • width
5 • 10 = 50
same = 50
4 • 5 = 20
same = 20
4 • 10 = 40
same = 40
ADD ALL SIDES!
220 in 2

6. w 4w + 20 Perimeter means… ADD all sides! 4w + 4w + w + w + 20 + 20
length = 4w + 20
4(4) + 20
length = 36 ft.
10w + 40 = 80
– 40 – 40
10w = 40
w = 4

7.
0.45x = 1.80
x = 4

8. Which number(s) are “greater than” 20???
– – 8 5 4 5 4
To get rid of the fraction in front of x,
multiply by the reciprocal on BOTH SIDES.
– 16
When you multiply or divide by a negative number…
REVERSE the Symbol! x
> 20

9. Re-write the inequality with the letter first and the number last!
x – 15
REVERSE THE SYMBOL!!!
The symbol is NOT underlined…
Draw an open dot!!!
The symbol > looks like an arrow pointing to the right…
Shade to the right!!!

10.
5n > – 15
n > – 3

11. Re-write with the x first.
– 9 <
2x – 7
– 1 < x
Re-write with the x first.
x > – 1
Circle only numbers “greater than” -1.
– 2 < 2x
Reverse the symbol.

12. ( , )
– 4 3
LEFT 7
UP 8

13. 55 + 35d = Cost 55 + 35d = f(d) 7 days Cost = 55 + 35(5) Cost = $230
–55 –55
245 = 35d
245 = 35d
7 = d
7 days

14. Positive –
(right end goes up)
ZERO –
(horizontal line)
Negative –
(right end goes down)
Undefined
(vertical line)

15. – 3 5
y – 12 = ( x – –10)
9 – 12
– 5 – –10
– 3 5
y – 12 = x – 6
y = x + 6 OR
– 3
–5 + 10
– 3 5
– 3 5
Note: If you noticed that the ordered pair ( 0 , 6 ) in the table is the y-intercept, you would not need to do all this.

16. y = 2560.90x + 201.77 Go to STAT USE THE CALCULATOR!
Enter the data in Lists 1 & 2
Select CALC
Select REG
(regression)
y = x
Select X (one power)

17. Negative slope…
the right side is lower!
THAT WAY →
UP 3
LEFT 5

18. Walls are on the “side” only… Lateral Surface Area
The carpet goes on the bottom or base of the room…
The floor is a rectangle…
AREA (of the base)

19. 6x + 15y + 1 4x + x + x 2y + 5y + 8y + 6 – 5 6x + 15y + 1
Perimeter means…
ADD ALL SIDES!
4x + x + x 6x
2y + 5y + 8y
+ 15y
+ 6 – 5
+ 1
6x + 15y + 1

20. n
– – 7
= – 32
n + 7 = – 32
– – 7
n = – 39

21. Get rid of the parenthesis first!
Perimeter means…
ADD ALL SIDES!
Get rid of the parenthesis first!
12 – 6x + 3y
5x + 3y
12 – 6x + 3y
–6x – 6x + 5x + 5x
– 2x
+ 3y + 3y + 3y + 3y
+ 12y
+ 24
– 2x + 12y + 24
These 3 answers could be written in any order…

22. To get y by itself the positive 3x and the – 5 need to be moved to the other side of the equation.
– 3x – 3x
– 5y = – 3x + 20
– 3x & 20 are NOT like terms
Divide every term by – 5
– – 5 – 5 3 5 x
y =
– 4

23. p > – 5 + 8p > 3p + 5p – 3p – 15 4p + 20 12p + 20 > 5p – 15
Distributive Property
4p + 20
+ 8p >
3p p
– 3p – 15
Combine Like Terms
12p
> 5p
– 15
Move the variable to the left side.
– 5p – 5p
7p > – 15
– – 20
7p > – 35
Remember: If you divide by a negative number, reverse the symbol.
p >
– 5

24. let s = songs
0.27s
= 180
– – 79.83
0.27s =
100.17
s = 371 songs

25. Driving up and down hills on a bicycle would make the speed…
go up and down!

26. Dots in the shaded part only! Dots on the dotted line are…
The symbol is not underlined…
DOTTED LINE _ _ _ _ _ _ _
Dots in the shaded part only!
Dots on the dotted line are…
NOT Solutions!
To find the y-intercept let x be 0.
– 4y < 8
Look at the symbol…
> means shade above.
Divide by – 4 …
REVERSE THE SYMBOL!!!
– – 4
y – 2
Use the slope to draw more points!

27. The graph is translated… The new y-intercept is…
y-intercept (b)
b = – 7
The graph is translated…
9 spaces UP!
The new y-intercept is…
( 0 , 2 )
The slope…
stays the same!
+ 9
b = + 2

28. 0 – – 6 4 – 0 6 4 3 2 = ——— = — = — y = mx + b 3 2 y = — x – 6 x1 , y1
= ———
= —
= —
y = mx + b 3 2
y = — x
– 6

29. (x + 14) x
– 8