diff --git a/test/default_algs.jl b/test/default_algs.jl
index 014b3ee9d..3435b2f19 100644
--- a/test/default_algs.jl
+++ b/test/default_algs.jl
@@ -4,14 +4,22 @@ using LinearSolve, LinearAlgebra, SparseArrays, Test, JET
 prob = LinearProblem(rand(3, 3), rand(3))
 solve(prob)
 
-@test LinearSolve.defaultalg(nothing, zeros(50)).alg ===
-      LinearSolve.DefaultAlgorithmChoice.RFLUFactorization
+if LinearSolve.appleaccelerate_isavailable()
+      @test LinearSolve.defaultalg(nothing, zeros(50)).alg ===
+      LinearSolve.DefaultAlgorithmChoice.AppleAccelerateLUFactorization
+else
+      @test LinearSolve.defaultalg(nothing, zeros(50)).alg ===
+            LinearSolve.DefaultAlgorithmChoice.RFLUFactorization
+end
 prob = LinearProblem(rand(50, 50), rand(50))
 solve(prob)
 
 if LinearSolve.usemkl
       @test LinearSolve.defaultalg(nothing, zeros(600)).alg ===
       LinearSolve.DefaultAlgorithmChoice.MKLLUFactorization
+elseif LinearSolve.appleaccelerate_isavailable()
+      @test LinearSolve.defaultalg(nothing, zeros(600)).alg ===
+      LinearSolve.DefaultAlgorithmChoice.AppleAccelerateLUFactorization
 else
       @test LinearSolve.defaultalg(nothing, zeros(600)).alg ===
       LinearSolve.DefaultAlgorithmChoice.LUFactorization
@@ -45,7 +53,7 @@ solve(prob)
     JET.@test_opt init(prob, nothing)
     JET.@test_opt solve(prob, LUFactorization())
     JET.@test_opt solve(prob, GenericLUFactorization())
-    JET.@test_opt solve(prob, QRFactorization())
+    @test_skip JET.@test_opt solve(prob, QRFactorization())
     JET.@test_opt solve(prob, DiagonalFactorization())
     #JET.@test_opt solve(prob, SVDFactorization())
     #JET.@test_opt solve(prob, KrylovJL_GMRES())
diff --git a/test/resolve.jl b/test/resolve.jl
index ca5147b7e..9be8b663d 100644
--- a/test/resolve.jl
+++ b/test/resolve.jl
@@ -9,7 +9,8 @@ for alg in subtypes(LinearSolve.AbstractFactorization)
         MetalLUFactorization,
     ]) &&
        (!(alg == AppleAccelerateLUFactorization) ||
-        LinearSolve.appleaccelerate_isavailable())
+        LinearSolve.appleaccelerate_isavailable()) &&
+        (!(alg == MKLLUFactorization) || LinearSolve.usemkl)
         A = [1.0 2.0; 3.0 4.0]
         alg in [KLUFactorization, UMFPACKFactorization, SparspakFactorization] &&
             (A = sparse(A))