Rational Numbers
Order from least to greatest:
–3.45, –3.405, –3.5, –3.54
Answer (least → greatest):
–3.54, –3.5, –3.45, –3.405
Solve:
3x + 7 = 25
x = 6
Is this a function?
{(1, 5), (2, 7), (3, 5), (2, 9)}
Not a function (x = 2 has two outputs)
Find the hypotenuse if legs are 9 and 12.
Hypotenuse = 15
Find the simple interest:
P = $5,000, r = 4%, t = 3 years
Interest = $600
Write the correct inequality symbol (<, >, or =) between each pair:
a) –4.08 ___ –4.8
b) –2.375 ___ –2.357
c) –6.4 ___ –6.40
a) –4.08 > –4.8
b) –2.375 < –2.357
c) –6.4 = –6.40
Solve:
5(x – 4) = 3x + 12
x = 16
Determine if the relationship is proportional:
y = 4x – 6
non-proportional
Find the missing leg if hypotenuse is 25 and one leg is 7.
Missing leg = 24
Find the total amount:
P = $8,000, r = 5%, t = 6 years (simple)
$10,400
Order from greatest to least:
-5/2, -2.4, -2.45, -2.55
Answer (greatest → least):
–2.4, –2.45, –2.5, –2.55
Solve:
3/4 x – 5 = 1/2 x + 7
x =48
A graph passes through (0, 3) and (4, 19).
Find the slope and write the equation.
y = 4x + 3
Which of the following could be the lengths of a right triangle?
Select TWO correct answers.
A. 3 cm, 4 cm, 6 cm
B. 15 cm, 36 cm, 39 cm
C. 10 cm, 11 cm, 15 cm
D. 8 cm, 12 cm, 20 cm
E. 16 cm, 30 cm, 34 cm
B and E
Find the final balance:
P = $10,000, r = 6%, t = 8 years (annual compound)
Final ≈ $15,938.48
A number line shows the following points:
Point A: –7.2
Point B: –6.95
Point C: –7.05
Point D: –6.9
List the points in order from left to right.
Left → Right (least → greatest):
A (–7.2)
C (–7.05)
B (–6.95)
D (–6.9)
A gym charges $40 registration plus $28 per month.
If someone paid $292 total, how many months did they attend?
m = 9 months
A proportional relationship passes through (6, 45).
Find the constant of proportionality (slope) and write the equation.
y = 7.5x
A ladder is 15 feet long and placed 9 feet from a wall.
How high does it reach?
Height = 12 ft
$15,000 is invested at 5% for 10 years.
Which earns more: simple or compound (annual)?
How much more?
Difference ≈ $1,933.65 more with compound
Four students make the following claims:
–3.125 > –3.25
–4.06 < –4.6
–5.02 > –5.2
–7.5 < –7.45
Which statements are true?
Justify each answer using place value reasoning.
Evaluate each statement:
–3.125 > –3.25 → True
–4.06 < –4.6 → False
–5.02 > –5.2 → True
–7.5 < –7.45 → True
True statements: 1, 3, and 4
A theater holds 520 people.
There are already 143 inside.
Tickets are sold in groups of 6.
Write and solve an inequality to determine the maximum number of groups that can still enter.
g ≤ 62.83
Maximum whole groups = 62
Laura started with some books. Laura buys the same number of additional books each month. The table shows the linear relationship between x, the number of months, and y, the numbers of books that Laura has.
Number of Months, X| Number of Books, Y
3 18
6 24
10 32
12 36
How many books did Laura have at the start?
12 books
A rectangular field measures 48 meters by 55 meters.
What is the diagonal length?
How much shorter is the diagonal than walking both sides?
Diagonal = 73
30 meters shorter
$22,000 is invested at 4.5% compounded monthly for 15 years.
How much interest is earned?
Interest ≈ 43,014.32 – 22,000
≈ $21,014.32