Transcript Benchmark Test Review

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.
12x – 18 + 5x = 15x – 15 – 7
17x – 18 = 15x – 22
– 15x
– 15x
2x – 18 = – 22
+ 18 + 18
2x = – 4
2
2
x= –2
RISE
RUN
RUN
RISE
2
5
DOWN
NEGATIVE!
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= B•h
“area of the base” times height
V = length • width • height
V = 2.5 • 2.5 • 2.5
15.625 cm 3
A cube has 6 faces… all squares!
2.5 • 2.5 • 6 = 37.5 cm 2
List all the sides:
Area = length • width
FRONT = 5 • 10 = 50
BACK = same = 50
LEFT = 4 • 5 = 20
RIGHT = same = 20
TOP = 4 • 10 = 40
BOTTOM = same = 40
ADD ALL SIDES!
220 in 2
w
4w + 20
Perimeter means…
4w + 4w + w + w + 20 + 20
ADD all sides!
length = 4w + 20
4(4) + 20
16 + 20
length = 36 ft.
10w
+
40 = P
10w + 40 = 80
– 40 – 40
10w = 40
10
10
w = 4
+ 0.25
+ 0.25
0.45x = 1.80
0.45
0.45
x=4
Which number(s) are
“greater than” 20???
4
8  x  8
5
–8
–8
5
4
– 16
When you multiply or
divide by a negative
number…
REVERSE the Symbol!
x > 20
5
4
To get rid of the fraction in
front of x,
multiply by the reciprocal
on BOTH SIDES.
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!!!
+7
+7
5n > – 15
5
5
n >–3
– 9 < 2x – 7
+7
+7
– 2 < 2x
2
2
–1 < x
Re-write with the
x first.
x > –1
Circle only
numbers “greater
than” -1.
(– 4, 3 )
55 + 35d = Cost
55 + 35d = f(d)
Cost = 55 + 35(5)
Cost = $230
300 = 55 + 35d
–55 –55
245 = 35d
245 = 35d
35 35
7=d
7 days
Positive –
(right end
goes up)
Undefined
(vertical line)
ZERO –
(horizontal line)
Negative –
(right end
goes down)
y2  y1
m
x2  x1
9 – 12
– 5 – –10
–3
–5 + 10
–3
5
y  y1  m( x  x1 )
y – 12 =
y – 12 =
+ 12
–3
( x – –10)
5
–3
x–6
5 + 12
y= –3x+6
5
OR
3
f ( x) 
x6
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.
USE THE CALCULATOR!
Enter the data in Lists 1 & 2
Select CALC
Select REG
(regression)
y = 2560.90x + 201.77
Select X (one power)
slope 
UP 3
LEFT 5
rise
3

run
5
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)
4x + x + x 2y + 5y + 8y + 6 – 5
6x
+ 15y
6x + 15y + 1
+1
n – – 7 = – 32
n + 7 = – 32
–7
–7
n = – 39
12 – 6x + 3y
5x + 3y
12 – 6x + 3y
–6x – 6x + 5x + 5x
– 2x
+ 3y + 3y + 3y + 3y
+ 12y
+ 12 + 12
+ 24
– 2x + 12y + 24
These 3 answers could be written in any order…
– 3x
Divide every term
by – 5
– 3x
To get y by itself the
positive 3x and the – 5
need to be moved to the
other side of the equation.
– 5y = – 3x + 20
–5
–5 –5
3 x
–4
y=
5
– 3x & 20 are NOT
like terms
4p + 20 + 8p > 3p – 3p – 15 + 5p
12p + 20 > 5p – 15
– 5p
– 5p
7p + 20 > – 15
– 20
– 20
7p > – 35
7
7
p > –5
let s = songs
79.83 + 0.27s = 180
– 79.83
– 79.83
0.27s = 100.17
.27
.27
s = 371 songs
The symbol is not underlined…
DOTTED LINE _ _ _ _ _ _ _
Dots in the shaded part only!
Dots on the dotted line are…
NOT Solutions!
m
A
3 3
 

B
4 4
To find the y-intercept let x be 0.
Look at the symbol…
> means shade above.
Use the slope to
draw more points!
Divide by – 4 …
REVERSE THE
SYMBOL!!!
– 4y < 8
–4
–4
y  –2
y-intercept (b)
b=–7+9
b=+2
The graph is translated…
9 spaces UP!
The new y-intercept is…
(0,2)
The slope…
stays the same!
x1 , y1
x2 , y2
y2  y1
m
x2  x1
– 6
0
–
6 = —
3
= ——— = —
4–0
4
2
y = mx + b
3
y= —x –6
2
y  y1  m( x  x1 )
(x + 14)
x–8