diff --git a/src/SHermitianCompact.jl b/src/SHermitianCompact.jl
index a3baebe3..5c11c6a0 100644
--- a/src/SHermitianCompact.jl
+++ b/src/SHermitianCompact.jl
@@ -150,13 +150,6 @@ LinearAlgebra.issymmetric(a::SHermitianCompact) = true
     end
 end
 
-# Scalar-array. TODO: overload broadcast instead, once API has stabilized a bit
-@inline Base.:+(a::Number, b::SHermitianCompact) = SHermitianCompact(a + b.lowertriangle)
-@inline Base.:+(a::SHermitianCompact, b::Number) = SHermitianCompact(a.lowertriangle + b)
-
-@inline Base.:-(a::Number, b::SHermitianCompact) = SHermitianCompact(a - b.lowertriangle)
-@inline Base.:-(a::SHermitianCompact, b::Number) = SHermitianCompact(a.lowertriangle - b)
-
 @inline Base.:*(a::Number, b::SHermitianCompact) = SHermitianCompact(a * b.lowertriangle)
 @inline Base.:*(a::SHermitianCompact, b::Number) = SHermitianCompact(a.lowertriangle * b)
 
diff --git a/src/StaticArrays.jl b/src/StaticArrays.jl
index 7ce955eb..6ab3b105 100644
--- a/src/StaticArrays.jl
+++ b/src/StaticArrays.jl
@@ -137,5 +137,6 @@ include("qr.jl")
 include("deque.jl")
 include("flatten.jl")
 include("io.jl")
+include("deprecated.jl")
 
 end # module
diff --git a/src/deprecated.jl b/src/deprecated.jl
new file mode 100644
index 00000000..2572d375
--- /dev/null
+++ b/src/deprecated.jl
@@ -0,0 +1,10 @@
+# Deprecations, included in v0.12, to be removed for v0.13
+@deprecate +(a::Number, b::StaticArray) a .+ b
+@deprecate +(a::StaticArray, b::Number) a .+ b
+@deprecate -(a::Number, b::StaticArray) a .- b
+@deprecate -(a::StaticArray, b::Number) a .- b
+
+@deprecate +(a::Number, b::SHermitianCompact) a .+ b
+@deprecate +(a::SHermitianCompact, b::Number) a .+ b
+@deprecate -(a::Number, b::SHermitianCompact) a .- b
+@deprecate -(a::SHermitianCompact, b::Number) a .- b
diff --git a/src/linalg.jl b/src/linalg.jl
index df347ac2..11d86c0a 100644
--- a/src/linalg.jl
+++ b/src/linalg.jl
@@ -16,12 +16,6 @@ import Base: +, -, *, /, \
 @inline -(a::StaticArray, b::AbstractArray) = map(-, a, b)
 
 # Scalar-array
-@inline +(a::Number, b::StaticArray) = broadcast(+, a, b)
-@inline +(a::StaticArray, b::Number) = broadcast(+, a, b)
-
-@inline -(a::Number, b::StaticArray) = broadcast(-, a, b)
-@inline -(a::StaticArray, b::Number) = broadcast(-, a, b)
-
 @inline *(a::Number, b::StaticArray) = broadcast(*, a, b)
 @inline *(a::StaticArray, b::Number) = broadcast(*, a, b)
 
diff --git a/test/SHermitianCompact.jl b/test/SHermitianCompact.jl
index f58a8ed1..89998dca 100644
--- a/test/SHermitianCompact.jl
+++ b/test/SHermitianCompact.jl
@@ -182,7 +182,7 @@ fill3(x) = fill(3, x)
     @testset "Scalar-array" begin
         x = SHermitianCompact(SVector{6, Int}(1 : 6))
         y = -5
-        for op in (:-, :+, :*, :/, :\)
+        for op in (:*, :/, :\)
             if op != :\
                 @eval begin
                     @test $op($x, $y) == $op(SMatrix($x), $y)
diff --git a/test/broadcast.jl b/test/broadcast.jl
index 6f2b919d..2cd6b45d 100644
--- a/test/broadcast.jl
+++ b/test/broadcast.jl
@@ -30,7 +30,6 @@ end
     @testset "AbstractArray-of-StaticArray with scalar math" begin
         v = SVector{2,Float64}[SVector{2,Float64}(1,1)]
         @test @inferred(v .* 1.0)::typeof(v) == v
-        @test @inferred(1 .- v)::typeof(v) == v .- v
         v2 = SVector{2,Int}[SVector{2,Int}(1,1)]
         @test @inferred(v2 .* 1.0)::typeof(v) == v
     end
diff --git a/test/deprecated.jl b/test/deprecated.jl
new file mode 100644
index 00000000..4a44ab1c
--- /dev/null
+++ b/test/deprecated.jl
@@ -0,0 +1,15 @@
+# Deprecations, included in v0.12, to be removed for v0.13
+@testset "Deprecation of ::Scalar +/- ::StaticArray, issue #627" begin
+    A = rand(SMatrix{2,2})
+    b = rand()
+    @test_deprecated A + b
+    @test_deprecated b + A
+    @test_deprecated A - b
+    @test_deprecated b - A
+
+    A = SHermitianCompact{2}(rand(SVector{3,Float64}))
+    @test_deprecated A + b
+    @test_deprecated b + A
+    @test_deprecated A - b
+    @test_deprecated b - A
+end
diff --git a/test/linalg.jl b/test/linalg.jl
index d242477b..9e69de76 100644
--- a/test/linalg.jl
+++ b/test/linalg.jl
@@ -7,8 +7,6 @@ using StaticArrays, Test, LinearAlgebra
         v1 = @SVector [2,4,6,8]
         v2 = @SVector [4,3,2,1]
 
-        @test @inferred(v1 + c) === @SVector [4,6,8,10]
-        @test @inferred(v1 - c) === @SVector [0,2,4,6]
         @test @inferred(v1 * c) === @SVector [4,8,12,16]
         @test @inferred(v1 / c) === @SVector [1.0,2.0,3.0,4.0]
         @test @inferred(c \ v1)::SVector ≈ @SVector [1.0,2.0,3.0,4.0]
diff --git a/test/runtests.jl b/test/runtests.jl
index 085d58a8..8c79db19 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -50,3 +50,4 @@ include("deque.jl")
 include("flatten.jl")
 include("io.jl")
 include("svd.jl")
+include("deprecated.jl")