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Algebra 1: Real Numbers and Algebraic Expressions
Topic B1: Real Numbers | VERSION B Name: ___________________________________________ 1.
0
−10
2.
10
6.
18 − 6 = 7.
13 − 1 − 8 − 3 = 8.
12 − 54 − 6 10 − 2 = 9.
15 − 7 − 6 − 4 = Label the number line with the following coordinate: −1.2. 0
−10
3.
Simplify the expression: Label the number line with the following coordinate: 2. 10
Label the number line with the following !
coordinate: − . !
0
−10
4.
10
Write the following fraction as an equivalent fraction with denominator 24. !
?
! = !" 5.
10. 19 − 17 − 3 8 − 5 = Write the following fraction as an equivalent fraction with denominator 60. !!
?
= !" !"
www.varsitylearning.com 1 Algebra 1: Real Numbers and Algebraic Expressions
Topic B1: Real Numbers | VERSION B Name: ___________________________________________ 11. For the number 6, give the following: a. The opposite of 6 = Write an equivalent algebraic equation for the sentence below. b. The reciprocal of 6 = 17. The sum of 𝑥 and 13 is 14. c. The absolute value of 6 = 12. For the number −
!"
!
, give the following in 18. The difference of 𝑥 and 8 is 12. fraction form: a. The opposite of −
!"
!
b. The reciprocal of −
= !"
!
= c. The absolute value of −
!"
!
= 19. The quotient of 𝑥 and 5 is equal to the sum of 𝑥 and 8. Place one of the symbols < or > in the space between each number to make the resulting statement true. 13. −10 −10 20. The quotient of 𝑥 and 2 is equal to the difference !
14. − !
!
of 𝑥 and 3. − !
15. −
!!
!
16. 15 −
!"
!"
− −15 www.varsitylearning.com 2 Algebra 1: Real Numbers and Algebraic Expressions
Topic B1: Real Numbers | VERSION B Name: ___________________________________________ 1.
Simplify the expression: Label the number line with the following coordinate: 2. 6.
18 − 6 = 12 7.
13 − 1 − 8 − 3 = 7 8.
12 − 54 − 6 10 − 2 = 6 9.
15 − 7 − 6 − 4 = 6 2
0
−10
2.
10
Label the number line with the following coordinate: −1.2. ]1.2
0
−10
3.
10
Label the number line with the following !
coordinate: − . !
7
0
−10
4.
Write the following fraction as an equivalent fraction with denominator 24. 5.
10
!
!"
= !" !
10. 19 − 17 − 3 8 − 5 = 11 Write the following fraction as an equivalent fraction with denominator 60. !!
!"
!!
= !" www.varsitylearning.com 3 Algebra 1: Real Numbers and Algebraic Expressions
Topic B1: Real Numbers | VERSION B Name: ___________________________________________ 11. For the number 6, give the following: a. The opposite of 6 = -­‐6 !
Write an equivalent algebraic equation for the sentence below. 17. The sum of 𝑥 and 13 is 14. b. The reciprocal of 6 = !
𝑥 + 13 = 14 c. The absolute value of 6 = 6 12. For the number −
30
, give the following in 7
fraction form: 18. The difference of 𝑥 and 8 is 12. a. The opposite of − !"
!
b. The reciprocal of − = !"
!
!"
!
= −
c. The absolute value of −
𝑥 − 8 = 12 7
30
30 !"
= 7
!
19. The quotient of 𝑥 and 5 is equal to the sum of 𝑥 !
and 8. = 𝑥 + 8 !
Place one of the symbols < or > in the space between each number to make the resulting statement true. 13. −10 < −10 !
!
!
!
20. The quotient of 𝑥 and 2 is equal to the difference 14. − < − 15. −
!!
!
< −
!"
!"
!
of 𝑥 and 3. = 𝑥 − 3 !
16. 15 > − −15 www.varsitylearning.com 4
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