Download F. By how many degrees Fahrenheit did the

The lowest temperature on a winter morning was -8° F.
Later that same day the temperature reached a high of
24° F. By how many degrees Fahrenheit did the
temperature increase?
A.
B.
C.
D.
E.
3°
8°
16°
24°
32°
ACT Practice
Pre-Algebra
Need to find the range from -8°F to 24°F {distance between highest and lowest}
24 – (-8) {subtract to find difference between highest and lowest}
= 24 + 8 {minus a negative becomes plus}
= 32 {added}
© Mr. Sims
Disregarding sales tax, how much will you save when
you buy an $11 compact disc that is on sale for
25% off?
F.
G.
H.
J.
K.
$0.28
$0.44
$2.75
$3.00
$8.25
ACT Practice
Pre-Algebra
Find how much 25% is of $11.00
$11.00
x 0.25 {changed 25% to decimal and multiplied}
$2.75 {multiplied, this is the amount off}
© Mr. Sims
As part of a school project, Akio wants to find the
average cost of renting a newly released videotape
from video rental stores in his neighborhood. He
surveys 4 stores and finds the cost of renting a newly
released videotape from the 4 stores to be $3.50, $3.40,
$3.50, and $3.00, respectively. Using the data, what is
the average cost of renting a newly released videotape
from these 4 stores?
A.
B.
C.
D.
E.
$3.25
$3.30
$3.35
$3.45
$3.50
ACT Practice
Pre-Algebra
To find the average, add the costs and
divide by the number of costs
=
3.50 + 3.40 + 3.50 + 3.00
{added costs and divided by number of costs}
4
13.40
{added numbers in numerator}
=
4
= $3.35 {divided}
© Mr. Sims
ACT Practice
Plane Geometry
If AB ≅ BC, then ∆ABC is an isosceles triangle
In an isosceles triangle, the base angles are equal
m∠BAC = 70°
𝐦∠𝐀𝐂𝐁 = 𝟕𝟎°
{angles on a straight line add up to 180°}
{base angles of an isosceles triangle are equal}
© Mr. Sims
ACT Practice
Plane Geometry
15
15
OE is also 15
{it is another radius}
A 60-60-60 triangle is formed:
360°
- the central angle of the regular hexagon drawn in the circle is
= 60°
6
- the two sides being 15 means the two base angles are equal
120°
=
2
60° each
- if all three angles are equal, then all three sides are equal {equilateral triangle}
© Mr. Sims
The price of a pumpkin is directly proportional to its
weight. If a pumpkin that weighs 15.0 pounds costs
$3.25, how much will an 11.4-pound pumpkin cost?
F. $0.95
G. $1.23
H. $1.95
J. $2.47
K. $4.28
ACT Practice
Elementary Algebra
Direct proportionality
y = kx {y is directly proportional to x, if there is a nonzero constant, k}
let y = price of pumpkin
let x = weight of pumpkin
$3.25 = k(15.0) {substituted $3.25 in for y and 15.0 in for x}
k = .2166 {divided each side by 15.0 to find the constant, k}
How much will an 11.4 pound pumpkin cost?
y = kx {y is the cost, k is the constant, x is the weight}
y = .2166 (11.4) {substituted .2166 in for k and 11.4 in for x}
y = 2.47 {multiplied}
Inverse proportionality
y=
k
{y varies inversely to x, if there is a nonzero constant, k}
x
© Mr. Sims
ACT Practice
Plane Geometry
© Mr. Sims
ACT Practice
Elementary Algebra
If 3x – 7 = 4x – 16, then x = ?
F. -23
G. -9
23
H. −
23
7
J.
K. 9
7
3x – 7 = 4x – 16
-3x
-3x
-7 = x – 16
+16
x=9
{subtracted 3x from each side}
+16
{added 16 to each side}
© Mr. Sims
Which of the following is always equal to
a(5 – a) – 6(a + 4) ?
A.
B.
C.
D.
E.
-2a – 24
-2a + 4
-a2 – a – 24
-a2 – a + 4
-2a3 - 24
ACT Practice
Elementary Algebra
a(5 – a) – 6(a + 4)
= 5a – a² ─ 6a – 24 {used distributive property}
= -a² ─ a – 24 {combined like terms}
© Mr. Sims