1) solve for x: 5x-7=28
(1) 7 (2) -7 (3) 5 (4) -5
2) which property is illustrated by the equation 5+(2+3)=(5+2)+3?
(1) distributive (2) commutative (3) associative (4) identity
3) which value of p is the solution of 5p-1=2p+20?
(1)19/7 (2) 19/3 (3) 3 (4) 7
4) the expression (√5-2) (√5+2) is equivalent to
(1) 1 (2) √5-4 (3) 3 (4) 4-√5
(1) 7 (2) -7 (3) 5 (4) -5
2) which property is illustrated by the equation 5+(2+3)=(5+2)+3?
(1) distributive (2) commutative (3) associative (4) identity
3) which value of p is the solution of 5p-1=2p+20?
(1)19/7 (2) 19/3 (3) 3 (4) 7
4) the expression (√5-2) (√5+2) is equivalent to
(1) 1 (2) √5-4 (3) 3 (4) 4-√5
-
1) solve for x: 5x-7=28
(1) 7 (2) -7 (3) 5 (4) -5
5x-7=28
add 7 to both sides
5x=35
x=7
(1)
2) which property is illustrated by the equation 5+(2+3)=(5+2)+3?
(1) distributive (2) commutative (3) associative (4) identity
(4) [I think] :D
3) which value of p is the solution of 5p-1=2p+20?
(1)19/7 (2) 19/3 (3) 3 (4) 7
5p-1=2p+20
subtract 2p from both sides
3p-1=20
add 1 to both sides
3p=21
p=7
(4)
4) the expression (√5-2) (√5+2) is equivalent to
(1) 1 (2) √5-4 (3) 3 (4) 4-√5
this is a 'difference of squares'
you need to get use to spotting them
they pop up EVERYWHERE
difference of squares
x^2-y^2=(x+y)(x-y)
so,
(√5-2) (√5+2)
is derived from
(√5^2-2^2)
√5^2=5
2^2=4
5-4=1
(1)
(1) 7 (2) -7 (3) 5 (4) -5
5x-7=28
add 7 to both sides
5x=35
x=7
(1)
2) which property is illustrated by the equation 5+(2+3)=(5+2)+3?
(1) distributive (2) commutative (3) associative (4) identity
(4) [I think] :D
3) which value of p is the solution of 5p-1=2p+20?
(1)19/7 (2) 19/3 (3) 3 (4) 7
5p-1=2p+20
subtract 2p from both sides
3p-1=20
add 1 to both sides
3p=21
p=7
(4)
4) the expression (√5-2) (√5+2) is equivalent to
(1) 1 (2) √5-4 (3) 3 (4) 4-√5
this is a 'difference of squares'
you need to get use to spotting them
they pop up EVERYWHERE
difference of squares
x^2-y^2=(x+y)(x-y)
so,
(√5-2) (√5+2)
is derived from
(√5^2-2^2)
√5^2=5
2^2=4
5-4=1
(1)
-
5x - 7 = 28 first add 7 to both side
5x = 28 + 7 this give
5x = 35 then divide across by 5
x = 7 which give (1) for the answer
PROOF: Substitute 7 back into the original equation.
5 x 7 - 7 = 28
35 - 7 = 28
28 = 28 correct!
Distribution (1)
5p - 1 = 2p + 20 first add 1 to each side of the equation
5p = 2p + 20 + 1 which is equal to 5p = 2p + 21
Now take 2p from each side of the equation
5p - 2p = 21 which gives us
3p = 21 then divide each side of the equation by 3
p = 7
PROOF: Substitute result back into the equation
5 x 7 - 1 = 2 x 7 + 20
35 - 1 = 14 + 20
34 = 34 correct!
(sq root 5 - 2)( sq root 5 + 2)
5x = 28 + 7 this give
5x = 35 then divide across by 5
x = 7 which give (1) for the answer
PROOF: Substitute 7 back into the original equation.
5 x 7 - 7 = 28
35 - 7 = 28
28 = 28 correct!
Distribution (1)
5p - 1 = 2p + 20 first add 1 to each side of the equation
5p = 2p + 20 + 1 which is equal to 5p = 2p + 21
Now take 2p from each side of the equation
5p - 2p = 21 which gives us
3p = 21 then divide each side of the equation by 3
p = 7
PROOF: Substitute result back into the equation
5 x 7 - 1 = 2 x 7 + 20
35 - 1 = 14 + 20
34 = 34 correct!
(sq root 5 - 2)( sq root 5 + 2)
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