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Name __________________________________
Date ___________________
Practice Worksheet
LESSON 2.5
Complete the logical argument by giving a reason
for each step.
1. 8x–34 = 6
Given
8x = 40
a. _____
x=5
b. _____
Solve the equation. Write a reason for each step.
5. x + 18 = 7
6. 5x = 4x + 8
2. 4x – 7 = 6x + 7
–2x – 7 = 7
Given
a. _____
–2x = 14
b. _____
x = –7
c. _____
7. 7x – 9 = 4x
8. 6x + 11 = 5x – 3
3. 5(x – 3) = 4(x + 2)
5x – 15 = 4x + 8
Given
a. _____
9. 7x – 11 = 4x + 19
x – 15 = 8
x = 23
b. _____
c. _____
10. 14x + 3 = 19x + 23
1
y–9
7
1
x+9= y
7
7x + 63 = y
4. x =
y = 7x + 63
Given
a. _____
b. _____
c. _____
11. 4(2x+ 11) = 76
Solve the equation for a. Write a reason for each step.
12. a – 3b = b + 7
13. 4a + b = 5b + 28
Use the property to complete the statement.
14. Addition Property of Equality: if RS = TU, then RS + 20 = _____.
15. Multiplication Property of Equality: If m 1 = m 2, then 3m 1 = _____.
16. Substitution Property of Equality: If a = 20, then 5a = _____.
17. Reflexive Property of Equality: If x is a real number, then x = _____.
18. Symmetric Property of Equality: If AB = CD, then CD = _____.
19. Transitive Property of Equality: If m E = m F and m F = m G, then _____.
20. Windows The bottom section of the window pictured swings outward from the bottom to open in the style
of an awning.
a. Use the diagram and your knowledge of linear pairs to write an equation that relates a sum of two
angle measures to 180°.
b. Solve the equation for m DAC.
c. Find mDAC when mBAC = 112°.