Welcome to Form 2!
This packet reviews the basic concepts covered in your Form 1 year at K-O. We
expect that you will be able to do all the material in this packet. The three main
areas that you should be comfortable with are:
1.) Integers – Accentuate the Negative
2.) Solving Equations
3.) Linear Equations – Moving Straight Ahead
If you have difficulty remembering how to solve some of these problems you may
look back at your notes from the past school year. If you encounter difficulty with
the majority of this review packet, you should seek extra help at the beginning of
the school year from your math teacher.
Please complete these worksheets and return them to your math teacher in
September. I would suggest working on them towards the end of the summer.
Please do not use your calculator and show all of your work.
Thanks, have a great summer and see you in September!
Ms. Sciglimpaglia
Middle School Math Department Chair
Accentuate the Negative
Solve the Problem:
1. Cassidy wrote the equation n + 11 = 24. Using what you know about fact
families, rewrite the equation so that Cassidy could figure out the value of
n.
Find the missing values:
2.
? ● 8 = 56
3.
12 ● ? = -36
4. ? ● – 10 = 90
5. 7 ● ? = -147
6. ? ÷ 18 = -54
7. 64 ÷ ? = 8
8. Find each missing value.
a. 13 – (8 – 2) = 13 – 8 - ?
b. -6 – (5 – 3) = -6 – 5 - ?
c.
12 – (6 - -1) = 12 – 6 - ?
9. Use the order of operations to simplify these expressions.
a. – 5 ● 7 + 10 ÷ 2
b. (2 + 4)2 ● 5 – 2
c.
-9 ● 8 ÷ 23 + -5
d. 6 ● (3 – 5)2 + 8
e. 10 – (50 ÷ (-2 ∙ 25) + 7) ∙ 22
Solving Equations: Solve each equation for the variable. Remember to show all
your work! Remember you can do a check for any of these problems to make
sure you are correct.
1.
3(2x + 1) = 21
2.
3n + 2 = 4n – 5
3.
5p – 2p + 10 = 19
4.
-3(y – 4) = 15
5.
11x – 15 = 4x – 1
6.
5r + 6 + 2r = 48
7.
13 – 6y = -5 + 3y
8.
-24 = -8(-6c + 27)
9.
7(a – 2) – 6 = 2a + 8 + a
10.
8(5 – n) = 2n
11.
3x = 5(x – 6)
12.
27 + r = 3(1 – r)
Moving Straight Ahead
1.
Given one of the representations below, find the other two.
a.
Find the y-intercept for each representation above.
b.
Find the slope for each representation above.
2.
Use the graph below to answer parts a-d.
a.
List the coordinates of three points on the line.
b.
Which equation below is the equation for the line?
i. 𝑦 = 𝑥 + 4
ii. 𝑦 = 0.5𝑥 + 2
iii. 𝑦 = 0.5𝑥 − 5
iv. 𝑦 = 4 − 0.5𝑥
c.
Does the point (56, 35) line on the line? Explain your reasoning.
d.
Does the point (-20, -8) lie on the line? Explain your reasoning.
4.
Here is a graph of a line:
Complete the corresponding table and write the equation of the line.
5.
Each table in i-v below represents a linear relationship. Match each of the
following equations with the appropriate table.
7.
Plot the points on a coordinate grid, and draw a line through the points
and write the equation of the line.
(-3, 5) and (3, 1)
8.
On Saturdays, Jim likes to go to the mall to play video games or pinball.
Round-trip bus fare to and from the mall is $1.80. Jim spends $0.50 for each
video or pinball game.
a.
Write an equation for the amount of money, M, it costs Jim to go to the
mall and play n video or pinball games. Explain your reasoning.
b.
What is the slope of the line your equation represents? What does the
slope tell you about this situation?
c.
What is the y-intercept of the line? What does the y-intercept tell you
about the situation?
d.
How much will it cost Jim to travel to the mall and play 8 video or pinball
games?
e.
If Jim has $6.75, how many video or pinball games can he play at the
mall?
9.
In parts a-c, write an equation for the line that satisfies the given
conditions.
a.
the slope is 0 and the y-intercept is 9.18.
b.
the line passes through the points (3,1) and (6,4)
c.
the slope is − 3 and the line passes through the point (5,0)
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