Math Home Review:
Work through these review questions from Term 1.
You can use your book to help if you are stuck.
Answer every question!
Vocabulary Section:
(5 points)
1. 𝒚 = 𝒎𝒙 + 𝒃, what is b called?
2. What is
𝒚𝟐 −𝒚𝟏
𝒙𝟐 −𝒙𝟏
?
__________________
_________________
3. Is a linear function round or straight?
__________________
4. What transformation changes the slope of a linear function?
____________________
5. How is a discrete graph different from a continuous graph?
Real Numbers
6. Calculate:
(4 points)
7
− 𝑥 when 𝑥 = −2
8
−17 + 2.3
=
=
−9.9 ∙ (−0.5)
=
10 ÷ 𝑦 𝑤ℎ𝑒𝑛 𝑦 = 0
=
1
Solving Equations
7.
Solve each equation and do a quick check of your solution.
𝑡 − 43 = 21
27𝑐 = −9.1
3𝑦 − 2 = 10
(4 points)
1
4
− 𝑥+7=− 𝑥
3
5
Solve:
Quick Check:
Exponents
8. Bacteria grows exponentially by doubling every hour.
How many bacteria will there be after 5 hours?
Working:
After how many hours will there be 1,000 bacteria?
Working:
2
(1 point)
Answer:
(1 point)
Answer:
Percents
9.
Your bill in a restaurant is 300 Baht before tax and service charge.
Service charge is 10% and tax is 7%.
How much is the tax?
Working:
Answer:
You put 108 stickers in your new sticker book.
Now the sticker book is 20% full.
How many stickers can the sticker book hold?
Working:
(1 point)
10.
(1 point)
Answer:
Problem Solving
11. There are 6 pizzas at a party and each pizza is cut into 8 slices.
i.
How many slices of pizza are there in total?
Working:
ii.
(1 point)
Answer:
Each student eats 3 slices of pizza.
How many students are at the party?
Working:
(1 point)
Answer:
iii. How many slices of pizza do n students eat?
Write an algebraic expression
3
(1 point)
12.
Study the graph below and answer the questions.
(5 points)
i.
What is the y-intercept?
_________________
ii.
What is the slope?
_________________
iii.
Now write the equation 𝒚 = 𝒎𝒙 + 𝒃
_________________
iv.
Draw a translation on the graph.
v.
What is the equation of the new line?
4
_________________
13.
Study the system below and answer the questions.
3𝑥 − 𝑦 = 7
{
2𝑥 + 𝑦 = 3
Solve the system:
(2 points)
Check the answer is a solution of the system:
(1 point)
Graph the 2 functions and show the solution of the system:
(2 points)
NOW USE A CALCULATOR TO CHECK YOUR ANSWERS!!!
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