Download Algebra 1: Real Numbers and Algebraic

Algebra 1: Real Numbers and Algebraic Expressions
Topic B1: Real Numbers | VERSION A Name: ___________________________________________ 1.
0
−10
2.
10
6.
11 − 7 = 7.
19 − 10 − 9 − 2 = 8.
20 − 14 − 5 7 − 6 = 9.
9 − 5 − 6 − 5 = Label the number line with the following coordinate: −0.9. 0
−10
3.
Simplify the expressions: Label the number line with the following coordinate: −5. 10
Label the number line with the following !
coordinate: . !
0
−10
4.
Write the following fraction as an equivalent fraction with denominator 24. 5.
10
!
?
= !" !
10. 9 − 21 − 3 8 − 2 = 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 A Name: ___________________________________________ 11. For the number 10, give the following: a. The opposite of 10 = Write an equivalent algebraic equation for the sentence below. b. The reciprocal of 10 = c. The absolute value of 10 = !
12. For the number − , give the following in 17. The sum of 𝑥 and 11 is 12. 18. The difference of 𝑥 and 8 is 9. !
fraction form: !
a. The opposite of − = !
!
b. The reciprocal of − = !
!
c. The absolute value of − = !
19. The quotient of 𝑥 and 2 is equal to the sum of 𝑥 and 5. Place one of the symbols < or > in the space between each number to make the resulting statement true. 13. −2 −2 20. The quotient of 𝑥 and 4 is equal to the difference of 𝑥 and 3. 14. −
!!
15. −
!"
16. 8 !
!
−
!"
−
!"
− −8 !
!"
www.varsitylearning.com 2 Algebra 1: Real Numbers and Algebraic Expressions
Topic B1: Real Numbers | VERSION A Name: ___________________________________________ 1.
Simplify the expressions: Label the number line with the following coordinate: −5. 6.
11 − 7 = 4 7.
19 − 10 − 9 − 2 = 2 8.
20 − 14 − 5 7 − 6 = 11 9.
9 − 5 − 6 − 5 = 3 −5
0
−10
2.
10
Label the number line with the following coordinate: −0.9. −0.9
0
−10
3.
10
Label the number line with the following !
coordinate: . !
9
0
−10
4.
10
Write the following fraction as an equivalent fraction with denominator 24. !
!
!
!"
= 10. 9 − 21 − 3 8 − 2 = 6 5.
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 A Name: ___________________________________________ 11. For the number 10, give the following: a. The opposite of 10 = −10 b. The reciprocal of 10 = !
!"
Write an equivalent algebraic equation for the sentence below. 17. The sum of 𝑥 and 11 is 12. 𝑥 + 11 = 12 c. The absolute value of 10 = 10 18. The difference of 𝑥 and 8 is 9. x – 8 = 9 !
12. For the number − , give the following in !
fraction form: !
!
a. The opposite of − = !
!
!
7
4
b. The reciprocal of − = − !
!
!
!
!
c. The absolute value of − = 19. The quotient of 𝑥 and 2 is equal to the sum of 𝑥 !
and 5. = 𝑥 + 5 !
Place one of the symbols < or > in the space between each number to make the resulting statement true. 13. −2 < −2 20. The quotient of 𝑥 and 4 is equal to the difference !
of 𝑥 and 3. = 𝑥 − 3 !
14. −
!!
15. −
!"
16. 8 !
!
< −
!"
< −
!"
!
!"
> − −8 www.varsitylearning.com 4