Mourning Sr. High

Name: ____________________________________
Mourning Sr. High
Algebra 1 Summer Assignment
Pages 2 to 10 are required for all students. Pages 11 to
16 are required for Algebra 1 Honors students only.
Directions:
1. Show all of your work.
2. Write the final answer on the line provided.
3. If you need help, there are links provided on each page
with extra help resources.
This assignment will be collected for a grade
the first week of school.
Name: ____________________________________
ATM Algebra 1 Summer Assignment- Combine Like Terms
For Extra Help: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-expressions-and-variables/cc-6th-combining-like-terms
Simplify the expression.
1) 4x + 5x
1)
2) -4p - 7p
2)
3) 3x + x
3)
4) 11x - 5 - 5x - 3
4)
5) 9x - 5 - 22x - 2
5)
6) 14x - 8 - 21x - 4
6)
7) -9y + 4 - 5 + 4 + y - 3
7)
8) 27x - 9 - 16x - 2
8)
9) -9y + 6 - 7 + 2 + y - 1
9)
10) -6b + 5 + 4b + 3b - 10
10)
11) -9b + 7 + 7b + 3b - 12
11)
12) 6p2 + 2p3 - 2p2 - 9p3
12)
13) 5(y + 10) - 8
13)
14) 3p2 + 6p3 - 7p2 - 4p3
14)
1
Name: ____________________________________
ATM Algebra 1 Summer Assignment- Factions
For Extra Help: https://www.khanacademy.org/math/arithmetic/fractions
Perform the operation. You MUST show your work.
Write the answer as a fraction in lowest terms. You may leave your answer as an improper fraction.
1)
3 1
+ 8 2
1)
2)
2
1
+ 15 15
2)
3)
3 1
+ 5 8
3)
4)
1
5
+ 12 18
4)
5)
5
5
+ 12 18
5)
6)
6 3
- 5 5
6)
7)
4 1
- 7 7
7)
1
Name: ____________________________________
8)
8
3
- 19 19
8)
9)
4 1
- 9 3
9)
10)
6 2
- 7 5
10)
11)
7 1
· 9 8
11)
12)
2 4
· 3 7
12)
13)
5 13
· 7 14
13)
14)
4 8
· 5 13
14)
15)
8 5
· 13 7
15)
2
Name: ____________________________________
16)
6 1
÷ 7 8
16)
17)
5 1
÷ 6 5
17)
18)
19 2
· 24 5
18)
19)
2 1
÷ 3 2
19)
20)
1
7
÷ 2 18
20)
21)
7
÷ 4
10
21)
1
3
22) 1 ÷ 1
4
4
22)
1
23) 1 ÷ 3
5
23)
3
Name: ____________________________________
ATM Algebra 1 Summer Assignment- Order of Operations & Evaluate Expressions
For Extra Help:
https://www.khanacademy.org/math/algebra-basics/core-algebra-foundations/algebra-foundations-order-of-operations
https://www.khanacademy.org/math/algebra/introduction-to-algebra/variable-and-expressions/e/evaluating_expressions_1
You MUST show all your work.Use order of operations to simplify the expression.
1) 23 + (-12 - 17)
1)
2) 2 + (-9 - 18)
2)
3) 15 - (8 - 16)
3)
4) (-8 + 2) - (-16 + 20)
4)
5) -19 - [(9 - 2) - (-3 - 2)]
5)
6) 10 - (15 - 20)
6)
7) 11 - (18 - 15)
7)
8) (8 + 1) - (-14 + 6)
8)
9) -15 - [(9 - 1) - (-2 - 1)]
9)
10) (6 + 5) - (-17 + 7)
10)
1
Name: ____________________________________
11) -17 - [(9 - 1) - (-3 - 1)]
11)
Evaluate the algebraic expression for the given value or values of the variable(s).
12) 5x + 9;
x = 4
13) -9x - 4;
x = -2
14) 6(x + 7) + 24;
12)
13)
x = -9
14)
15) 10x2 + 6y;
x = 5 and y = 2
15)
16) 9x2 + 10y;
x = 4 and y = 7
16)
17) (x + 4y) 2 ;
x = 2 and y = 2
17)
18) 1 + 5(x - 3)3 ;
x = 5
18)
19) x2 - 3(x - y);
x = 6 and y = 2
19)
20) (x + 2y) 2 ;
x = 4 and y = 3
20)
21) 1 + 6(x - 3)3 ;
x = 5
21)
22) x2 - 4(x - y);
x = 6 and y = 2
22)
2
Name: ____________________________________
ATM Algebra 1 Summer Assignment- Solving Equations
For Extra Help: https://www.khanacademy.org/math/algebra/solving-linear-equations-and-inequalities
Solve the equation. You MUST show all your work.
1) m - 6 = 9
1)
2) z - 1 = -5
2)
3) b - 2 = -8
3)
4) b - 1 = 5
4)
5) x - 6 = -5
5)
1
6) - x = 9
7
6)
1
7) - x = -1
2
7)
8) -7x = -28
8)
9) z - 4 = -1
9)
10) z - 7 = -1
10)
1
Name: ____________________________________
11) x - 7 = -2
11)
1
12) - x = -9
3
12)
1
x = 5
4
13)
13)
14) -3x = -24
14)
1
a = 6
4
15)
16) 5x + 3x = 24
16)
17) 4x + 3x = 28
17)
15)
Solve the equation.
18) 3r + 2 = 26
18)
19) 6r + 10 = 52
19)
20) 10r + 6 = 86
20)
21) 5r + 7 = 17
21)
2
Name: ____________________________________
22) 6n - 9 = 33
22)
23) 8n - 5 = 11
23)
24) 8n - 4 = 20
24)
25) 10n - 7 = 93
25)
26) 7r + 7 = 35
26)
27) 3r + 4 = 28
27)
28) 5r + 4 = 54
28)
29) 9r + 2 = 29
29)
30) 4r + 9 = 49
30)
31) 3r + 7 = 25
31)
32) 4r + 7 = 39
32)
33) 8r + 7 = 47
33)
3
Name: ____________________________________
ATM Algebra 1 Summer Assignment- Honors Supplement
Solve the equation.
1) 4p + 2 = 3p + 6
1)
2) 5p + 14 = 4p + 13
2)
3) 6x + 10 - 5x = 0
3)
4) 4x + 2 - 3x = 0
4)
5) 8x - 4x + 3x = 28
5)
6) 8x - (2x - 1) = 2
6)
7) 8r - 4 = -3 - 5r
7)
8) 6w + 9 = 10 - 7w - 6w
8)
9) 5x - (4x - 1) = 2
9)
10) 6(3x - 1) = 24
10)
1
Name: ____________________________________
Evaluate the algebraic expression for the given value or values of the variable(s).
6(x + 7)
;
x = 1
11)
2x + 10
11)
12)
10(x - 1)
;
2x + 6
13)
y - 9x
;
5x + xy
x = -3 and y = 1
13)
14)
y - 3x
;
8x + xy
x = -4 and y = 3
14)
x = 7
12)
Combine Like Terms.
15) (8x6 + 4x3 + 3x) + (8x6 + 7x3 + 7x)
15)
16) (5x7 - 2x6 + 4x5 + 8) + (9x7 + 8x6 + 7x5 + 2)
16)
17) (-6x6 - 6x4 + 5) + (9x6 - 11x4 + 19)
17)
18) (-2x5 + 5x4 + 6x3 - 6) + (5x5 + 2x4 - 3x3 - 7)
18)
19) (9x7 + 18x5 - 20) - (5x7 - 17x5 + 10)
19)
20) (2x9 - 3x8 + 7x7 + 7) - (4x9 - 7x8 + 4x7 - 2)
20)
2
Name: ____________________________________
ATM Algebra 1 Summer Assignment Honors Supplement-Slope
For Extra Help:
https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope/v/slope-of-a-line-2
https://www.khanacademy.org/math/algebra/two-var-linear-equations-and-intro-to-functions/slope-intercept-form/v/slope-intercept-f
orm
Find the slope of the line that goes through the given points.
1) (6, 8), (-5, -7)
1)
2) (-3, 8), (-3, -5)
2)
3) (-5, -1), (1, -1)
3)
4) (-10, 1), (5, -11)
4)
5) (7, -7), (5, 1)
5)
Use the given conditions to write an equation for the line in point -slope form.
6) Slope = 2, passing through (5, 6)
6)
7) Slope = 4, passing through (-6, 5)
7)
6
8) Slope = , passing through (3, 5)
7
8)
1
Name: ____________________________________
6
9) Slope = , passing through (7, 3)
7
9)
Use the given conditions to write an equation for the line in slope -intercept form.
10) Slope = -2, passing through (8, 8)
10)
11) Slope = 3, passing through (-6, 3)
11)
2
12) Slope = , passing through (6, 7)
3
12)
2
13) Slope = , y-intercept = 3
3
13)
14) Passing through (5, 6) and (8, 2)
14)
15) Passing through (-1, -1) and (4, -7)
15)
Use the given conditions to write an equation for the line in point -slope form.
16) Passing through (2, 2) and (5, 4)
16)
17) Passing through (-3, -6) and (-5, -7)
17)
18) Passing through (1, -6) with x-intercept = -1
18)
2
Name: ____________________________________
ATM Algebra 1 Summer Assignment Honors Supplement- Inequalities
For Extra Help: https://www.khanacademy.org/math/algebra/linear_inequalities
Solve the linear inequality and then graph the solution. You MUST show all your work.
1) 4x + 5 < 37
1)
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
2) 4x + 7 < 31
2)
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
3) 3x + 1 < 13
3)
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
4) -2x ≥ 8
4)
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
5) 7x - 7 > 6x - 12
5)
6) 7x - 5 ≥ 6x - 7
6)
7) -4x ≥ 28
7)
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
1
Name: ____________________________________
8) 6x - 1 > 5x + 1
8)
9) 3x + 3 ≥ 2x - 2
9)
10) 3x + 3 ≥ 2x - 1
10)
11) -3x ≥ 15
11)
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
12) 3x + 2 > 2x + 9
12)
13) 8x - 1 ≥ 7x + 4
13)
14) -3x ≥ 24
14)
-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
2