Algebra 1
Name___________________________________ ID: 1
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Ticket in the door Unit 1A remediation
Date________________ Period____
Choose from the following properties: Subtraction Property of Equality, Addition Property of
Equality, Multiplication Property of Equality, Division Property of Equality, Distributive
Property
1) What property best justifies the statement,
" If x + 3 = 4, then x = 1"?
2) What property best justifies the statement,
" If x - 3 = 4, then x = 7"?
3) What property best justifies the statement,
" If 2x = 4, then x = 2"?
4) What property best justifies the statement,
x
" If = 4, then x =8"?
2
5) What property best justifies the statement,
3x
3x
" If
+ 5 = 4, then
= -1"?
2
2
6) What property best justifies the statement,
3x
" If
+ 5 = 4, then 3x + 10 = 8"?
2
7) What property best justifies the statement,
" If 2( x + 4) = -5, then 2x + 8 = -5"?
8) What property best justifies the statement,
x+5
" If
= 17, then x + 5 = 34"?
2
What property would you use in order to solve the following equation?
9)
n
= -7
3
10) -7 =
n
7
11) v - 5 = -8
12) p + 12 = -6
13) -2x = 8
14) -136 = 8n
15) -1 = a + 2
16) -3k = 39
17) 40 less than the product of 2 and x.
40 less the product of 2 and x.
18) 40 more than the product of 2 and x.
40 more the product of 2 and x.
a. What is the difference between the
sentences?
a. What is the difference between the
sentences?
b. Does that difference change how you
write the expression?
b. Does that difference change how you
write the expression?
Worksheet by Kuta Software LLC
-1-
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Write each as an algebraic expression.
19) the quotient of n and 8
20) the quotient of 40 and k
21) the product of 9 and 10
22) the product of a and 5
23) 5 less than 18
24) 11 less than n
Solve each equation.
25)
x
+5=0
2
27)
x+4
=6
2
29)
n
- 3 = -4
8
26)
-4 + m
= -1
8
28) -4(n + 4) = 24
30)
r-5
= -1
6
Solve the equation.
31)
3x
=8
2
32)
3x
+4=8
2
33)
3
x+4=8
2
34)
1
x - 4 = -8
2
Worksheet by Kuta Software LLC
-2-
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Answers to Ticket in the door Unit 1A remediation (ID: 1)
1) Subtraction Property of Equality
2) Addition Property of Equality
3) Division Property of Equality
4) Multiplication Property of Equality
5) Subtraction Property of Equality
6) Multiplication Property of Equality
7) Distributive Property
8) Multiplication Property of Equality
9) Multiplication Property of Equality
10) Multiplication Property of Equality
11) Addition Property of Equality
12) Subtraction Property of Equality
13) Division Property of Equality
14) Division Property of Equality
15) Subtraction Property of Equality
16) Division Property of Equality
17)
18)
n
40
19)
20)
8
k
21) 9 × 10
22) a × 5
23) 18 - 5
24) n - 11
25) {-10}
26) {-4}
27) {8}
28) {-10}
31)
32)
29) {-8}
30) {-1}
33)
34)
Worksheet by Kuta Software LLC
-3-
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