Garnet Valley High School
Practice Set of Required Math Skills for
Algebra M2
Students should practice each of the following skills to prepare for your next math class.
The math packet will be collected on the first day of class. A graded assessment about
these skills will be given and will count as your first math grade the school year.
Optional: For each part, there is a link to extra practice problems with the
answers if you need additional practice.
Part A: No Calculator! Evaluate Expressions using the correct order of operations.
Simplify or evaluate each expression completely. Show all work.
1) 32 + (-4)(5)
4)
10
1
2
7) (2s + t)3
when s = -2 and t = 5
2)
16
3
4
5)
4
5
9
5
1 3
b
2
8)
when a = 2 and b = 1
a
3) -3(7 – 9) – 23 + 6
6)
2
3
5
7
9) –x2 + 1
when x = -2
Extra Practice for this topic:
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Order%20of%20Operations.pd
f
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Evaluating%20Expressions.pdf
Part B: Simplify Algebraic Expressions
10) -9(a + 4)
11) -3x – 10 + 5x – 3
18x 24
6
12)
13) 2(-b)(-b)(-b)
14) 2(3 – x) – 5(x – 2)
15) 6x – (3 + 5x)
Extra Practice for this topic:
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Combining%20Like%20Terms
.pdf
Part C: Solve linear equations
16) y – 96 = 33
19) y – (-3) = -7
17) 2t = -6
20)
10
1
=s9
9
18) r – 156 = -150
2
21) - x = -4
5
22) 16 + 90n = 35n – 50
23) -x + 6 = 5 – x
24) -b = 2b – 10
25) 4x – 5x + 8 = x – 2
26) 3(x + 2) = 9(6 – x)
27) 7(2x – 4) = -2(6 + x)
Extra Practice for this Topic:
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Two-Step%20Equations.pdf
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Multi-Step%20Equations.pdf
Part D: Solve absolute value equations
28) x 3
8
29) 7x 12
2
30) 2s 1
7
Extra Practice for this Topic:
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Absolute%20Value%20Equati
ons.pdf
Part E: Solve and graph linear inequalities and compound inequalities
31) t – 3t < 16
32) s + 2 > 2(34 – s)
33) -36y > 100
34) -7x > 42 or x > 12
35) -3 < 6x – 1 < 3
36) -7 < 6x – 1
Extra Practice for this Topic:
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Multi-Step%20Inequalities.pdf
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Compound%20Inequalities.pdf
Part F: Graph Linear Equations
Graph the following in a coordinate plane.
Determine the x-intercept and y-intercept
Label the points where the line crosses the axes.
37) y = x
38) 6x – 2y = 24
39) y = 3x – 3
Extra Practice for this Topic:
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Graphing%20Lines%20SI.pdf
Part G: Graph Linear Inequalities
40) 2 < 3x – 2y
41) x < 6
42) x + y < 4
Extra Practice for this Topic:
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Graphing%20Linear%2
0Inequalities.pdf
Part H: Write Linear Equations in slope-intercept form
Write the equation in slope intercept form.
Find the slope and the y-intercept
43) 6y = -12x
44) 2x – 3y = 18
45) 4x + 3y –12 = 0
Write the equation in slope-intercept form of the line that passes through the given points.
Show all work.
46) (3,-2) (-3,2)
47) (9, -5) (-6, 5)
48) (3,0) (-3,5)
Write in standard form an equation of the line that passes through the given point and has
the given slope. Show all work.
49) (-9,0) m = -9
50) (-15,-6) m = 2
51) (0,5) m = -1/2
Extra Practice for this Topic
https://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Writing%20Linear%20Equat
ions.pdf
Answers to a Selected Few:
1) -11
6)
8)
11) 2x – 13
13) -2b3
19) y = -10
21) x = 10
24) b =
28) x = 11 and x = -5
34) x < -6 or x > 18
-6
38) x int (9,0)
y int (0,-12)
41)
45)
y = (-4/3)x + 4
m = -4/3
y-int (0,4)
47) y = (-2/3)x + 1
50) – 2x + y = 24
18